Deck 9: Probability

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سؤال
P ( A or B ) means which of the following?

A) P ( A ) <strong>P ( A or B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A )   P ( B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A   B ) <div style=padding-top: 35px> P ( B )
B) P ( A ) <strong>P ( A or B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A )   P ( B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A   B ) <div style=padding-top: 35px> P ( B )
C) P ( A <strong>P ( A or B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A )   P ( B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A   B ) <div style=padding-top: 35px> B )
D) P ( A ) + P ( B )
E) P ( A <strong>P ( A or B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A )   P ( B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A   B ) <div style=padding-top: 35px> B )
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سؤال
Last year, 1,328 calculators were returned to the manufacturer. If 79,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places). Last year, 1,328 calculators were returned to the manufacturer. If 79,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).   __________<div style=padding-top: 35px> __________
سؤال
FIGURE 2. <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =   <div style=padding-top: 35px> Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)

A) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =   <div style=padding-top: 35px>
B) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =   <div style=padding-top: 35px>
C) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =   <div style=padding-top: 35px>
D) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =   <div style=padding-top: 35px>
E) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =   <div style=padding-top: 35px>
سؤال
The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, "an eight" refers to rolling an eight on either or both dice, while "a total of eight" refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?

A) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?

A) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?

A) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
P ( A and B ) means which of the following?

A) P ( A ) <strong>P ( A and B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A   B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A )   P ( B ) <div style=padding-top: 35px> P ( B )
B) P ( A <strong>P ( A and B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A   B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A )   P ( B ) <div style=padding-top: 35px> B )
C) P ( A <strong>P ( A and B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A   B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A )   P ( B ) <div style=padding-top: 35px> B )
D) P ( A ) + P ( B )
E) P ( A ) <strong>P ( A and B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A   B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A )   P ( B ) <div style=padding-top: 35px> P ( B )
سؤال
FIGURE 1. <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =   <div style=padding-top: 35px> Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?

A) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =   <div style=padding-top: 35px>
B) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =   <div style=padding-top: 35px>
C) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =   <div style=padding-top: 35px>
D) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =   <div style=padding-top: 35px>
E) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =   <div style=padding-top: 35px>
سؤال
For the spinners in the figure below, assume that the pointer can never lie on a border line. Find <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
FIGURE 1. <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?

A) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Other straight flush 36 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Four of a kind 624 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Full house 3,744 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Flush 5,108 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Straight 10,200 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Three of a kind 54,912 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Two pair 123,552 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> One pair 1,098,240 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Other hands 1,302,540 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> __________ P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> __________

A) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000015; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000139
B) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000002; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000014
C) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000015; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000014
D) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000002; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000139
E) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000139; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 <div style=padding-top: 35px> 0.0000015
سؤال
Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).

A) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
B) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
C) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
D) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
E) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
سؤال
Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?

A) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
FIGURE 2. <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven: <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Give the answer as an exact fraction.

A) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below. <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Find the probability P ( red face card )

A) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).

A) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
B) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
C) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
D) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
E) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
سؤال
If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?

A) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
FIGURE 2. <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five: <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Give the answer as an exact fraction.

A) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).

A) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
B) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
C) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
D) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
E) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
سؤال
Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).

A) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
B) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
C) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
D) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
E) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about   <div style=padding-top: 35px>
سؤال
Last year in Ferndale, CA, it rained on 41 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places). Last year in Ferndale, CA, it rained on 41 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).   __________<div style=padding-top: 35px> __________
سؤال
Last year, a certain professor gave 59 A grades out of 849 grades. If one of the professor s students were selected randomly, what is the probability of the student receiving an A? Give the probability in decimal form (correct to two decimal places). Last year, a certain professor gave 59 A grades out of 849 grades. If one of the professor s students were selected randomly, what is the probability of the student receiving an A? Give the probability in decimal form (correct to two decimal places).   __________<div style=padding-top: 35px> __________
سؤال
For the spinners in the figure below, assume that the pointer can never lie on a border line. Find For the spinners in the figure below, assume that the pointer can never lie on a border line. Find   Give your answer as a fraction.  <div style=padding-top: 35px> Give your answer as a fraction. For the spinners in the figure below, assume that the pointer can never lie on a border line. Find   Give your answer as a fraction.  <div style=padding-top: 35px>
سؤال
FIGURE 1. FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails or a five? Give your answer as a fraction.<div style=padding-top: 35px> Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails or a five? Give your answer as a fraction.
سؤال
Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being tails? Give your answer as a fraction.
سؤال
In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of losing on the first roll? Give your answer as a fraction.
سؤال
Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of winning on the first roll?
Give your answer as a fraction.
سؤال
FIGURE 2. FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to eight:   Give your answer as a fraction.<div style=padding-top: 35px> Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to eight: FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to eight:   Give your answer as a fraction.<div style=padding-top: 35px> Give your answer as a fraction.
سؤال
FIGURE 3. FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer C , A , or either; it s a draw)<div style=padding-top: 35px> Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose? FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer C , A , or either; it s a draw)<div style=padding-top: 35px> plays FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer C , A , or either; it s a draw)<div style=padding-top: 35px> __________ (Answer C , A , or either; it s a draw)
سؤال
FIGURE 3. FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer F , D or either; it s a draw )<div style=padding-top: 35px> Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose? FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer F , D or either; it s a draw )<div style=padding-top: 35px> plays FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer F , D or either; it s a draw )<div style=padding-top: 35px> __________ (Answer F , D or either; it s a draw )
سؤال
FIGURE 1. FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails? Give your answer as a fraction.<div style=padding-top: 35px> Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails? Give your answer as a fraction.
سؤال
The campus vets club is having a raffle and is selling 2,500 tickets. If the people on the floor of your dorm bought 495 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places). The campus vets club is having a raffle and is selling 2,500 tickets. If the people on the floor of your dorm bought 495 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).   __________<div style=padding-top: 35px> __________
سؤال
The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, "an eight" refers to rolling an eight on either or both dice, while "a total of eight" refers to the sum on the two dice.) What is the probability of rolling exactly one two with two such dice?
Give your answer as a fraction.
سؤال
For the spinners in the figure below, assume that the pointer can never lie on a border line. Find For the spinners in the figure below, assume that the pointer can never lie on a border line. Find   Give your answer as a fraction.  <div style=padding-top: 35px> Give your answer as a fraction. For the spinners in the figure below, assume that the pointer can never lie on a border line. Find   Give your answer as a fraction.  <div style=padding-top: 35px>
سؤال
Suppose you simultaneously toss a coin and roll a die. The possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a three? Give your answer as a reduced fraction.
سؤال
Consider the following statement.
Answer true or false . P ( A or B ) means P ( A Consider the following statement. Answer true or false . P ( A or B ) means P ( A   B )<div style=padding-top: 35px> B )
سؤال
FIGURE 2. FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be four or five:   Give your answer as a fraction.<div style=padding-top: 35px> Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be four or five: FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be four or five:   Give your answer as a fraction.<div style=padding-top: 35px> Give your answer as a fraction.
سؤال
Consider the following statement.
Answer true or false . P ( A and B ) means P ( A Consider the following statement. Answer true or false . P ( A and B ) means P ( A   B )<div style=padding-top: 35px> B )
سؤال
Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Other straight flush 36 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Four of a kind 624 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Full house 3,744 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Flush 5,108 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Straight 10,200 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Three of a kind 54,912 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Two pair 123,552 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> One pair 1,098,240 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Other hands 1,302,540 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________<div style=padding-top: 35px> Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________
سؤال
A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below. A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P(heart and a jack). Give your answer as a fraction.<div style=padding-top: 35px> Find the probability P(heart and a jack). Give your answer as a fraction.
سؤال
Suppose a restaurant offers the following prix fixe menu: <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> How many different dinners can this restaurant serve?

A) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?

A) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
B) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
C) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
D) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
E) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
سؤال
How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?

A) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits <div style=padding-top: 35px> outfits
B) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits <div style=padding-top: 35px> outfits
C) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits <div style=padding-top: 35px> outfits
D) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits <div style=padding-top: 35px> outfits
E) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits <div style=padding-top: 35px> outfits
سؤال
Complete the list. <strong>Complete the list.  </strong> A)   B) 0 C) 1 D)   E)   <div style=padding-top: 35px>

A) <strong>Complete the list.  </strong> A)   B) 0 C) 1 D)   E)   <div style=padding-top: 35px>
B) 0
C) 1
D) <strong>Complete the list.  </strong> A)   B) 0 C) 1 D)   E)   <div style=padding-top: 35px>
E) <strong>Complete the list.  </strong> A)   B) 0 C) 1 D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?

A) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
B) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
C) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
D) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
E) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates <div style=padding-top: 35px> plates
سؤال
In your mathematics class, there are 28 students who attended class on the first day of the semester. 19 of the students brought a calculator to class that first day. If a student is randomly selected, what is the probability that student brought a calculator the first day?
سؤال
What is the probability of obtaining at least one head in 3 flips of a coin?

A) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use estimation to select the best response. Do not calculate. Which of the following is less probable?

A) Obtaining a five at least 2 times in 3 rolls of a die
B) Obtaining a five 2 times in 3 rolls of a die
C) They are equally probable
سؤال
Complete the list. <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?

A) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Complete the list. <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
In your mathematics class, there are 12 male and 17 female students who attended class on the first day of the semester. If you randomly select a student the first day, what is the probability you selected a female?
سؤال
What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?

A) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use estimation to select the best response. Do not calculate. Which of the following is more probable?

A) Obtaining at least 2 heads in 3 flips of a coin
B) Obtaining at least 2 heads in 4 flips of a coin
C) They are equally probable
سؤال
Use estimation to select the best response. Do not calculate. Which of the following is less probable?

A) Guessing all the correct answers on a 20-question true-false examination
B) Obtaining all tails in 20 tosses of a penny
C) They are equally probable
سؤال
In your mathematics class, there are 28 students who attended class on the first day of the semester. 19 of the students brought a calculator to class that first day. If a student is randomly selected, what is the probability that student did not bring a calculator the first day?
سؤال
What is the probability of obtaining at least one tail in 4 flips of a coin? Give your answer as a fraction.
سؤال
How many shirt-blouse outfits can a woman wear if she has 4 skirts and 5 blouses?
__________ outfits
سؤال
Use estimation to select the best response. Do not calculate.
Which of the following is less probable?
Guessing all the incorrect answers on a 20-question true-false examination or
Obtaining all tails in 20 tosses of a quarter or
They are equally probable
سؤال
Complete the list.
Complete the list.  <div style=padding-top: 35px>
سؤال
Find Find   if   .   = __________<div style=padding-top: 35px> if Find   if   .   = __________<div style=padding-top: 35px> . Find   if   .   = __________<div style=padding-top: 35px> = __________
سؤال
Find Find   if   .   = __________<div style=padding-top: 35px> if Find   if   .   = __________<div style=padding-top: 35px> . Find   if   .   = __________<div style=padding-top: 35px> = __________
سؤال
What is the probability of flipping a coin 8 times and obtaining all heads?

A) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A state issued license plates using the scheme of two letters followed by three numerals. How many plates could it issue?
__________ plates
سؤال
Complete the list. Give your answer as a fraction.
Complete the list. Give your answer as a fraction.  <div style=padding-top: 35px>
سؤال
Find the probability of Find the probability of   if   . Give your answer as a fraction.<div style=padding-top: 35px> if Find the probability of   if   . Give your answer as a fraction.<div style=padding-top: 35px> . Give your answer as a fraction.
سؤال
Use estimation to select the best response. Do not calculate.
Which of the following is more probable?
Obtaining at least 3 heads in 5 flips of a coin or
Obtaining at least 3 heads in 6 flips of a coin or
They are equally probable
سؤال
Suppose a restaurant offers the following prix fixe menu:
Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve? __________ different dinners<div style=padding-top: 35px> How many different dinners can this restaurant serve? __________ different dinners
سؤال
A history teacher gives a 14-question true-false exam. In how many different ways can the test be answered if the possible answers are true or false?
__________ different ways
سؤال
What is the probability of a family with 6 children having 3 boys and 3 girls?

A) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find Find   if     = __________<div style=padding-top: 35px> if Find   if     = __________<div style=padding-top: 35px> Find   if     = __________<div style=padding-top: 35px> = __________
سؤال
Use estimation to select the best response. Do not calculate.
Which of the following is more probable?
Obtaining a six 3 times in 5 rolls of a die or
Obtaining a six at least 3 times in 5 rolls of a die or
They are equally probable
سؤال
Complete the list.
Complete the list.  <div style=padding-top: 35px>
سؤال
A typical Social Security identification number is 747-61-2313. How many Social Security numbers are possible if the first digit cannot be 0?
__________ numbers
سؤال
A state issued license plates using the scheme of three letters followed by three numerals, and 243 letter arrangements were not allowed. How many plates could it issue?
__________ plates
سؤال
A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?

A) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 9: Probability
1
P ( A or B ) means which of the following?

A) P ( A ) <strong>P ( A or B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A )   P ( B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A   B ) P ( B )
B) P ( A ) <strong>P ( A or B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A )   P ( B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A   B ) P ( B )
C) P ( A <strong>P ( A or B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A )   P ( B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A   B ) B )
D) P ( A ) + P ( B )
E) P ( A <strong>P ( A or B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A )   P ( B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A   B ) B )
C
2
Last year, 1,328 calculators were returned to the manufacturer. If 79,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places). Last year, 1,328 calculators were returned to the manufacturer. If 79,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).   __________ __________
0.02
3
FIGURE 2. <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)

A) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =
B) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =
C) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =
D) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =
E) P (even) = <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)</strong> A) P (even) =   B) P (even) =   C) P (even) =   D) P (even) =   E) P (even) =
A
4
The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, "an eight" refers to rolling an eight on either or both dice, while "a total of eight" refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?

A) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)
B) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)
C) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)
D) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)
E) <strong>The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, an eight refers to rolling an eight on either or both dice, while a total of eight refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?</strong> A)   B)   C)   D)   E)
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5
In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?

A) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)
B) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)
C) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)
D) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)
E) <strong>In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?</strong> A)   B)   C)   D)   E)
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6
Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?

A) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)
B) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)
C) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)
D) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)
E) <strong>Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?</strong> A)   B)   C)   D)   E)
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7
P ( A and B ) means which of the following?

A) P ( A ) <strong>P ( A and B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A   B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A )   P ( B ) P ( B )
B) P ( A <strong>P ( A and B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A   B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A )   P ( B ) B )
C) P ( A <strong>P ( A and B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A   B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A )   P ( B ) B )
D) P ( A ) + P ( B )
E) P ( A ) <strong>P ( A and B ) means which of the following?</strong> A) P ( A )   P ( B ) B) P ( A   B ) C) P ( A   B ) D) P ( A ) + P ( B ) E) P ( A )   P ( B ) P ( B )
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8
FIGURE 1. <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?

A) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =
B) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =
C) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =
D) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =
E) P (Tails) = <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?</strong> A) P (Tails) =   B) P (Tails) =   C) P (Tails) =   D) P (Tails) =   E) P (Tails) =
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9
For the spinners in the figure below, assume that the pointer can never lie on a border line. Find <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)   <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)

A) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)
B) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)
C) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)
D) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)
E) <strong>For the spinners in the figure below, assume that the pointer can never lie on a border line. Find    </strong> A)   B)   C)   D)   E)
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10
FIGURE 1. <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?

A) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)
B) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)
C) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)
D) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)
E) <strong>FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?</strong> A)   B)   C)   D)   E)
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11
Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Other straight flush 36 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Four of a kind 624 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Full house 3,744 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Flush 5,108 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Straight 10,200 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Three of a kind 54,912 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Two pair 123,552 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 One pair 1,098,240 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Other hands 1,302,540 hands <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 __________ P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 __________

A) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000015; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000139
B) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000002; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000014
C) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000015; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000014
D) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000002; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000139
E) P (royal flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000139; P (straight flush) <strong>Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   __________ P (straight flush)   __________</strong> A) P (royal flush)   0.0000015; P (straight flush)   0.0000139 B) P (royal flush)   0.0000002; P (straight flush)   0.0000014 C) P (royal flush)   0.0000015; P (straight flush)   0.0000014 D) P (royal flush)   0.0000002; P (straight flush)   0.0000139 E) P (royal flush)   0.0000139; P (straight flush)   0.0000015 0.0000015
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افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
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12
Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).

A) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
B) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
C) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
D) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
E) about <strong>Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
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13
Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?

A) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)
B) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)
C) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)
D) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)
E) <strong>Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of tossing a seven on the first roll?</strong> A)   B)   C)   D)   E)
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14
FIGURE 2. <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven: <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   Give the answer as an exact fraction.

A) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
B) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
C) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
D) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
E) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
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15
A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below. <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)   Find the probability P ( red face card )

A) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)
B) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)
C) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)
D) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)
E) <strong>A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P ( red face card )</strong> A)   B)   C)   D)   E)
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16
Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).

A) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
B) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
C) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
D) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
E) about <strong>Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
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17
If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?

A) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)
B) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)
C) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)
D) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)
E) <strong>If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?</strong> A)   B)   C)   D)   E)
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18
FIGURE 2. <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five: <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)   Give the answer as an exact fraction.

A) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
B) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
C) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
D) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
E) <strong>FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:   Give the answer as an exact fraction.</strong> A)   B)   C)   D)   E)
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19
The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).

A) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
B) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
C) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
D) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
E) about <strong>The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
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20
Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).

A) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
B) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
C) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
D) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
E) about <strong>Last year, a certain professor gave 44 F grades out of 882 grades. If one of the professor's students were selected randomly, what is the probability of the student receiving an F? Give the probability in decimal form (correct to two decimal places).</strong> A) about   B) about   C) about   D) about   E) about
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21
Last year in Ferndale, CA, it rained on 41 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places). Last year in Ferndale, CA, it rained on 41 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).   __________ __________
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22
Last year, a certain professor gave 59 A grades out of 849 grades. If one of the professor s students were selected randomly, what is the probability of the student receiving an A? Give the probability in decimal form (correct to two decimal places). Last year, a certain professor gave 59 A grades out of 849 grades. If one of the professor s students were selected randomly, what is the probability of the student receiving an A? Give the probability in decimal form (correct to two decimal places).   __________ __________
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23
For the spinners in the figure below, assume that the pointer can never lie on a border line. Find For the spinners in the figure below, assume that the pointer can never lie on a border line. Find   Give your answer as a fraction.  Give your answer as a fraction. For the spinners in the figure below, assume that the pointer can never lie on a border line. Find   Give your answer as a fraction.
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24
FIGURE 1. FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails or a five? Give your answer as a fraction. Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails or a five? Give your answer as a fraction.
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25
Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being tails? Give your answer as a fraction.
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26
In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of losing on the first roll? Give your answer as a fraction.
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27
Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of winning on the first roll?
Give your answer as a fraction.
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28
FIGURE 2. FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to eight:   Give your answer as a fraction. Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to eight: FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to eight:   Give your answer as a fraction. Give your answer as a fraction.
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29
FIGURE 3. FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer C , A , or either; it s a draw) Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose? FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer C , A , or either; it s a draw) plays FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer C , A , or either; it s a draw) __________ (Answer C , A , or either; it s a draw)
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30
FIGURE 3. FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer F , D or either; it s a draw ) Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose? FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer F , D or either; it s a draw ) plays FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?   plays   __________ (Answer F , D or either; it s a draw ) __________ (Answer F , D or either; it s a draw )
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31
FIGURE 1. FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails? Give your answer as a fraction. Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails? Give your answer as a fraction.
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32
The campus vets club is having a raffle and is selling 2,500 tickets. If the people on the floor of your dorm bought 495 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places). The campus vets club is having a raffle and is selling 2,500 tickets. If the people on the floor of your dorm bought 495 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).   __________ __________
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33
The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, "an eight" refers to rolling an eight on either or both dice, while "a total of eight" refers to the sum on the two dice.) What is the probability of rolling exactly one two with two such dice?
Give your answer as a fraction.
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34
For the spinners in the figure below, assume that the pointer can never lie on a border line. Find For the spinners in the figure below, assume that the pointer can never lie on a border line. Find   Give your answer as a fraction.  Give your answer as a fraction. For the spinners in the figure below, assume that the pointer can never lie on a border line. Find   Give your answer as a fraction.
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35
Suppose you simultaneously toss a coin and roll a die. The possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a three? Give your answer as a reduced fraction.
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36
Consider the following statement.
Answer true or false . P ( A or B ) means P ( A Consider the following statement. Answer true or false . P ( A or B ) means P ( A   B ) B )
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37
FIGURE 2. FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be four or five:   Give your answer as a fraction. Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be four or five: FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be four or five:   Give your answer as a fraction. Give your answer as a fraction.
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38
Consider the following statement.
Answer true or false . P ( A and B ) means P ( A Consider the following statement. Answer true or false . P ( A and B ) means P ( A   B ) B )
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39
Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Other straight flush 36 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Four of a kind 624 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Full house 3,744 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Flush 5,108 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Straight 10,200 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Three of a kind 54,912 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Two pair 123,552 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ One pair 1,098,240 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Other hands 1,302,540 hands Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________ Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
40
A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below. A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P(heart and a jack). Give your answer as a fraction. Find the probability P(heart and a jack). Give your answer as a fraction.
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افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
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41
Suppose a restaurant offers the following prix fixe menu: <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)   How many different dinners can this restaurant serve?

A) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)
B) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)
C) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)
D) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)
E) <strong>Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve?</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
42
If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?

A) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
B) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
C) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
D) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
E) <strong>If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
43
How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?

A) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits outfits
B) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits outfits
C) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits outfits
D) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits outfits
E) <strong>How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?</strong> A)   outfits B)   outfits C)   outfits D)   outfits E)   outfits outfits
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
44
Complete the list. <strong>Complete the list.  </strong> A)   B) 0 C) 1 D)   E)

A) <strong>Complete the list.  </strong> A)   B) 0 C) 1 D)   E)
B) 0
C) 1
D) <strong>Complete the list.  </strong> A)   B) 0 C) 1 D)   E)
E) <strong>Complete the list.  </strong> A)   B) 0 C) 1 D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
45
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
46
A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?

A) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
B) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
C) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
D) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
E) <strong>A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?</strong> A)   plates B)   plates C)   plates D)   plates E)   plates plates
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
47
In your mathematics class, there are 28 students who attended class on the first day of the semester. 19 of the students brought a calculator to class that first day. If a student is randomly selected, what is the probability that student brought a calculator the first day?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
48
What is the probability of obtaining at least one head in 3 flips of a coin?

A) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)
B) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)
C) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)
D) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)
E) <strong>What is the probability of obtaining at least one head in 3 flips of a coin?</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
49
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
50
Use estimation to select the best response. Do not calculate. Which of the following is less probable?

A) Obtaining a five at least 2 times in 3 rolls of a die
B) Obtaining a five 2 times in 3 rolls of a die
C) They are equally probable
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
51
Complete the list. <strong>Complete the list.  </strong> A)   B)   C)   D)   E)

A) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
B) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
C) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
D) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
E) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
52
A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?

A) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)
B) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)
C) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)
D) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)
E) <strong>A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
53
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
54
Find <strong>Find   if   .</strong> A)   B)   C)   D)   E)   if <strong>Find   if   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   if   .</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
55
Complete the list. <strong>Complete the list.  </strong> A)   B)   C)   D)   E)

A) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
B) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
C) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
D) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
E) <strong>Complete the list.  </strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
56
In your mathematics class, there are 12 male and 17 female students who attended class on the first day of the semester. If you randomly select a student the first day, what is the probability you selected a female?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
57
What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?

A) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)
B) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)
C) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)
D) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)
E) <strong>What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
58
Use estimation to select the best response. Do not calculate. Which of the following is more probable?

A) Obtaining at least 2 heads in 3 flips of a coin
B) Obtaining at least 2 heads in 4 flips of a coin
C) They are equally probable
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
59
Use estimation to select the best response. Do not calculate. Which of the following is less probable?

A) Guessing all the correct answers on a 20-question true-false examination
B) Obtaining all tails in 20 tosses of a penny
C) They are equally probable
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
60
In your mathematics class, there are 28 students who attended class on the first day of the semester. 19 of the students brought a calculator to class that first day. If a student is randomly selected, what is the probability that student did not bring a calculator the first day?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
61
What is the probability of obtaining at least one tail in 4 flips of a coin? Give your answer as a fraction.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
62
How many shirt-blouse outfits can a woman wear if she has 4 skirts and 5 blouses?
__________ outfits
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
63
Use estimation to select the best response. Do not calculate.
Which of the following is less probable?
Guessing all the incorrect answers on a 20-question true-false examination or
Obtaining all tails in 20 tosses of a quarter or
They are equally probable
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
64
Complete the list.
Complete the list.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
65
Find Find   if   .   = __________ if Find   if   .   = __________ . Find   if   .   = __________ = __________
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
66
Find Find   if   .   = __________ if Find   if   .   = __________ . Find   if   .   = __________ = __________
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
67
What is the probability of flipping a coin 8 times and obtaining all heads?

A) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)
B) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)
C) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)
D) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)
E) <strong>What is the probability of flipping a coin 8 times and obtaining all heads?</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
68
A state issued license plates using the scheme of two letters followed by three numerals. How many plates could it issue?
__________ plates
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
69
Complete the list. Give your answer as a fraction.
Complete the list. Give your answer as a fraction.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 163 في هذه المجموعة.
فتح الحزمة
k this deck
70
Find the probability of Find the probability of   if   . Give your answer as a fraction. if Find the probability of   if   . Give your answer as a fraction. . Give your answer as a fraction.
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71
Use estimation to select the best response. Do not calculate.
Which of the following is more probable?
Obtaining at least 3 heads in 5 flips of a coin or
Obtaining at least 3 heads in 6 flips of a coin or
They are equally probable
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72
Suppose a restaurant offers the following prix fixe menu:
Suppose a restaurant offers the following prix fixe menu:   How many different dinners can this restaurant serve? __________ different dinners How many different dinners can this restaurant serve? __________ different dinners
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73
A history teacher gives a 14-question true-false exam. In how many different ways can the test be answered if the possible answers are true or false?
__________ different ways
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74
What is the probability of a family with 6 children having 3 boys and 3 girls?

A) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)
B) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)
C) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)
D) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)
E) <strong>What is the probability of a family with 6 children having 3 boys and 3 girls?</strong> A)   B)   C)   D)   E)
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75
Find Find   if     = __________ if Find   if     = __________ Find   if     = __________ = __________
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76
Use estimation to select the best response. Do not calculate.
Which of the following is more probable?
Obtaining a six 3 times in 5 rolls of a die or
Obtaining a six at least 3 times in 5 rolls of a die or
They are equally probable
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77
Complete the list.
Complete the list.
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78
A typical Social Security identification number is 747-61-2313. How many Social Security numbers are possible if the first digit cannot be 0?
__________ numbers
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79
A state issued license plates using the scheme of three letters followed by three numerals, and 243 letter arrangements were not allowed. How many plates could it issue?
__________ plates
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80
A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?

A) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)
B) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)
C) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)
D) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)
E) <strong>A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?</strong> A)   B)   C)   D)   E)
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