Question 1

Find the probability of the event if a single choice is made from a bag.
-A bag contains 4 red marbles, 8 blue marbles, 7 yellow marbles, and 6 green marbles. What is the probability of choosing a yellow or green marble when one marble is drawn?

Accepted Answer

The total number of marbles is 4 (red) + 8 (blue) + 7 (yellow) + 6 (green) = 25. The probability of choosing a yellow or green marble is the sum of the probabilities of choosing a yellow marble and choosing a green marble, which is (7 + 6) / 25 = 13 / 25.

Question 2

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { outcomes } & \text { bar } & \text { experiment } & \text { mean } & \text { tree diagram } \
\text { pictograph } & \text { line } & \text { class interval } & \text { median } & \text { probability } \
\text { histogram } & \text { circle } & \text { class frequency } & \text { mode } &
\end{array}$$
-The_______ of a set of number items isis $\frac { \text { sum of items } } { \text { number of items } }$

Accepted Answer

The mean of a set of number items is calculated by dividing the sum of the items by the number of items.

Question 3

Find the probability of the event.
-If a single die is tossed once, find the probability of the following event. A 1 or a 4 or a 3

Accepted Answer

The probability of rolling a 1, 4, or 3 on a single die is 3 out of 6 possible outcomes, which simplifies to $\frac{1}{2}$.

Question 4

Find the probability of the event.
-Two dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 9?

Accepted Answer

The combinations that result in a sum greater than 9 are (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6). There are 6 favorable outcomes out of 36 possible outcomes (since each die has 6 sides), so the probability is $\frac{6}{36} = \frac{1}{6}$.

Question 5

Find the probability of the event if a single choice is made from a bag.
-A bag contains 27 balls numbered 1 through 27. What is the probability of choosing a ball numbered 28?

Accepted Answer

The probability of choosing a ball numbered 28 from a bag containing balls numbered 1 through 27 is 0, because there is no ball numbered 28 in the bag.

Question 6

Solve.
-A new drug is being tested that is supposed to lower cholesterol. This drug was given to 300 people and the results are below. $ \begin{array}{lll}\text {Lower}&\text { Higher }&\text {Cholesterol }\\text {Cholesterol }&\text {Cholesterol }&\text {not Changed }\114 & 40 & 146\end{array} $ If a person is testing this drug, what is the probability that their cholesterol will be higher?

Accepted Answer

The probability that a person's cholesterol will be higher after taking the drug is calculated by dividing the number of people whose cholesterol went higher by the total number of people tested. Here, 40 people had higher cholesterol out of 300 tested, so the probability is $ \frac{40}{300} = \frac{2}{15} $.

Question 7

Find the probability of the event.
-If a single die is rolled, find the probability of the following event. A number less than 2?

Accepted Answer

The only number less than 2 on a die is 1. Since a die has 6 faces, the probability is $\frac{1}{6}$.

Question 8

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { outcomes } & \text { bar } & \text { experiment } & \text { mean } & \text { tree diagram } \
\text { pictograph } & \text { line } & \text { class interval } & \text { median } & \text { probability } \
\text { histogram } & \text { circle } & \text { class frequency } & \text { mode } &
\end{array}$$
-The possible results of an experiment are the_______ .

Accepted Answer

The possible results of an experiment are referred to as the outcomes.

Question 9

A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds)of each of the
following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. If a card is chosen from a deck of cards, find the probability of
each event.
-Selecting an ace

Accepted Answer

There are 4 aces in a deck of 52 cards, so the probability of selecting an ace is $\frac{4}{52}$, which simplifies to $\frac{1}{13}$.

Question 10

Find the probability of the event if a single choice is made from a bag.
-A bag contains 8 red marbles, 4 blue marbles, and 9 green marbles. What is the probability of choosing a blue marble when one marble is drawn?

Accepted Answer

The total number of marbles is 8 (red) + 4 (blue) + 9 (green) = 21. The probability of choosing a blue marble is the number of blue marbles divided by the total number of marbles, which is $\frac{4}{21}$.

Question 11

Find the probability of the event.
-If a single die is tossed once, find the probability of the following event. A 6 or a 1

Accepted Answer

The probability of rolling a 6 or a 1 on a single die is the sum of the probabilities of each individual event, since they are mutually exclusive. Each face of a die has a probability of $\frac{1}{6}$ of landing face up. Therefore, the probability of rolling a 6 or a 1 is $\frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$.

Question 12

Find the probability of the event if a single choice is made from a bag.
-A bag contains 6 red marbles, 6 blue marbles, 6 yellow marbles, and 7 green marbles. What is the probability of choosing a red marble when one marble is drawn?

Accepted Answer

The total number of marbles is 6 (red) + 6 (blue) + 6 (yellow) + 7 (green) = 25. The probability of choosing a red marble is the number of red marbles divided by the total number of marbles, which is $\frac{6}{25}$.

Question 13

Find the probability of the event.
-If a single die is tossed once, find the probability of the following event. A 7

Accepted Answer

A standard die has six faces, numbered from 1 to 6. Since 7 is not a possible outcome of a single die roll, the probability of rolling a 7 is 0.

Question 14

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { outcomes } & \text { bar } & \text { experiment } & \text { mean } & \text { tree diagram } \
\text { pictograph } & \text { line } & \text { class interval } & \text { median } & \text { probability } \
\text { histogram } & \text { circle } & \text { class frequency } & \text { mode } &
\end{array}$$
-A(n)_______is a graph in which pictures or symbols are used to visually present data.

Accepted Answer

A pictograph uses pictures or symbols to visually present data, making it easier to understand and interpret the information.

Question 15

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { outcomes } & \text { bar } & \text { experiment } & \text { mean } & \text { tree diagram } \
\text { pictograph } & \text { line } & \text { class interval } & \text { median } & \text { probability } \
\text { histogram } & \text { circle } & \text { class frequency } & \text { mode } &
\end{array}$$
-A(n)_______graph presents data using vertical or horizontal bars.

Accepted Answer

A bar graph presents data using vertical or horizontal bars, making choice B the correct answer.

Question 16

Find the probability of the event.
-If a single die is tossed once, find the probability of the following event. An even number.

Accepted Answer

A standard die has six faces, numbered 1 through 6. There are three even numbers (2, 4, 6) on a die, so the probability of rolling an even number is 3 out of 6, which simplifies to $\frac{1}{2}$.

Question 17

A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds)of each of the
following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. If a card is chosen from a deck of cards, find the probability of
each event.
-Selecting the 10 of hearts

Accepted Answer

There is only one 10 of hearts in a deck of 52 cards, making the probability $\frac{1}{52}$.

Question 18

Find the probability of the event if a single choice is made from a bag.
-A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number when one ball is drawn from the bag?

Accepted Answer

There are 6 even numbers (2, 4, 6, 8, 10, 12) out of 13 numbers total, so the probability is $\frac{6}{13}$.

Question 19

Find the probability of the event.
-Two dice are tossed. What is the probability the sum of the two numbers on the die will be 4?

Accepted Answer

The possible outcomes for rolling two dice and getting a sum of 4 are: (1,3), (2,2), and (3,1). Since there are a total of 36 possible outcomes when rolling two dice (6 outcomes for the first die multiplied by 6 outcomes for the second die), the probability is $\frac{3}{36} = \frac{1}{12}$.

Question 20

Find the probability of the event if a single choice is made from a bag.
-A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue when one marble is drawn from the bag?

Accepted Answer

The total number of marbles is 8 red + 3 blue + 1 green = 12 marbles. The probability of not choosing a blue marble is the probability of choosing either a red or a green marble, which is 8 red + 1 green = 9 marbles out of 12. Therefore, the probability is $\frac{9}{12}$, which simplifies to $\frac{3}{4}$.

Quiz 7: Statistics and Probability

Find the probability of the event if a single choice is made from a bag. -A bag contains 4 red marbles, 8 blue marbles, 7 yellow marbles, and 6 green marbles. What is the probability of choosing a yellow or green marble when one marble is drawn?

Find the probability of the event. -If a single die is tossed once, find the probability of the following event. A 1 or a 4 or a 3

Find the probability of the event. -Two dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 9?

Find the probability of the event if a single choice is made from a bag. -A bag contains 27 balls numbered 1 through 27. What is the probability of choosing a ball numbered 28?

Find the probability of the event. -If a single die is rolled, find the probability of the following event. A number less than 2?

A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. If a card is chosen from a deck of cards, find the probability of each event. -Selecting an ace

Find the probability of the event if a single choice is made from a bag. -A bag contains 8 red marbles, 4 blue marbles, and 9 green marbles. What is the probability of choosing a blue marble when one marble is drawn?

Find the probability of the event. -If a single die is tossed once, find the probability of the following event. A 6 or a 1

Find the probability of the event if a single choice is made from a bag. -A bag contains 6 red marbles, 6 blue marbles, 6 yellow marbles, and 7 green marbles. What is the probability of choosing a red marble when one marble is drawn?

Find the probability of the event. -If a single die is tossed once, find the probability of the following event. A 7

Find the probability of the event. -If a single die is tossed once, find the probability of the following event. An even number.

A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. If a card is chosen from a deck of cards, find the probability of each event. -Selecting the 10 of hearts

Find the probability of the event if a single choice is made from a bag. -A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number when one ball is drawn from the bag?

Find the probability of the event. -Two dice are tossed. What is the probability the sum of the two numbers on the die will be 4?

Find the probability of the event if a single choice is made from a bag. -A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue when one marble is drawn from the bag?