Question 1

Find the probability of the event.
-A bag contains 9 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of choosing a blue marble when one marble is drawn?

Accepted Answer

The answer of Find the probability of the event.
-A bag...

Question 2

Find the probability of the event.
-A bag contains 6 red marbles, 4 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 answer of Find the probability of the event.
-A bag...

Question 3

Use the addition rule to solve the problem.
-A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or a 13?

Accepted Answer

The answer of Use the addition rule to solve the...

Question 4

Use the addition rule to solve the problem.
-If P(A) = 0.5, P(B) = 0.5, and  = 0.7, then what is

Accepted Answer

The answer of Use the addition rule to solve the...

Question 5

Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine
whether the events A and B are mutually exclusive.
-A: One of the numbers is five. B: The sum is greater than 11.

Accepted Answer

Events A and B are mutually exclusive because if one of the numbers is five, the maximum sum that can be achieved is 11 (5+6), so the sum cannot be greater than 11.

Question 6

Use the addition rule to solve the problem.
-A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Accepted Answer

The answer of Use the addition rule to solve the...

Question 7

Use the addition rule to solve the problem.
- What is the probability that the arrow will land on 2 or 5?

Accepted Answer

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Question 8

Find the probability of the event.
-A lottery game contains 24 balls numbered 1 through 24. What is the probability of choosing a ball numbered 25?

Accepted Answer

The answer of Find the probability of the event.
-A lottery...

Question 9

Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine
whether the events A and B are mutually exclusive.
-A: The sum is ten. B: The numbers are the same.

Accepted Answer

Events A and B are not mutually exclusive because there is an outcome where both events can occur simultaneously, which is when a pair of 5s is rolled. This results in the sum being ten (event A) and the numbers being the same (event B).

Question 10

Find the probability of the event.
-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

The answer of Find the probability of the event.
-A bag...

Question 11

Use the addition rule to solve the problem.
-A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 8?

Accepted Answer

The answer of Use the addition rule to solve the...

Question 12

Use the addition rule to solve the problem.
-Give the probability that the roll of a die will show a number less than 6.

Accepted Answer

The answer of Use the addition rule to solve the...

Question 13

Use the addition rule to solve the problem.
-Give the probability that the roll of a die will show 1 or 3.

Accepted Answer

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Question 14

Use the addition rule to solve the problem.
- What is the probability that the arrow will land on an odd number?

Accepted Answer

The answer of Use the addition rule to solve the...

Question 15

Use the addition rule to solve the problem.
-One digit from the number 6,353,883 is written on each of seven cards. What is the probability of drawing a card that shows 6, 3, or 5?

Accepted Answer

The answer of Use the addition rule to solve the...

Question 16

Use the addition rule to solve the problem.
-One digit from the number 7,686,336 is written on each of seven cards. What is the probability of drawing a card that shows 7 or 3?

Accepted Answer

The answer of Use the addition rule to solve the...

Question 17

Solve the problem.
-The probability that Luis will pass his statistics test is 0.94. Find the probability that he will fail his statistics test.

Accepted Answer

The probability of failing is 1 minus the probability of passing, so 1 - 0.94 = 0.06.

Question 18

Use the addition rule to solve the problem.
-Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 7, 8, or 4?

Accepted Answer

The answer of Use the addition rule to solve the...

Question 19

Use the addition rule to solve the problem.
-If P(A) = 0.3, P(B) = 0.6, and  = 0.2, then what is

Accepted Answer

The answer of Use the addition rule to solve the...

Question 20

Solve the problem.
-Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.151. Find the probability that in a given year it will not snow on January 1st in that town.

Accepted Answer

The probability that it will not snow is 1 minus the probability that it will snow, which is 1 - 0.151 = 0.849.

Quiz 11: Sequences, Series, and Probability

Find the probability of the event. -A bag contains 9 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of choosing a blue marble when one marble is drawn?

Find the probability of the event. -A bag contains 6 red marbles, 4 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?

Use the addition rule to solve the problem. -A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or a 13?

Use the addition rule to solve the problem. -If P(A) = 0.5, P(B) = 0.5, and = 0.7, then what is

Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events A and B are mutually exclusive. -A: One of the numbers is five. B: The sum is greater than 11.

Use the addition rule to solve the problem. -A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Use the addition rule to solve the problem. - What is the probability that the arrow will land on 2 or 5?

Find the probability of the event. -A lottery game contains 24 balls numbered 1 through 24. What is the probability of choosing a ball numbered 25?

Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events A and B are mutually exclusive. -A: The sum is ten. B: The numbers are the same.

Find the probability of the event. -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?

Use the addition rule to solve the problem. -A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 8?

Use the addition rule to solve the problem. -Give the probability that the roll of a die will show a number less than 6.

Use the addition rule to solve the problem. -Give the probability that the roll of a die will show 1 or 3.

Use the addition rule to solve the problem. - What is the probability that the arrow will land on an odd number?

Use the addition rule to solve the problem. -One digit from the number 6,353,883 is written on each of seven cards. What is the probability of drawing a card that shows 6, 3, or 5?

Use the addition rule to solve the problem. -One digit from the number 7,686,336 is written on each of seven cards. What is the probability of drawing a card that shows 7 or 3?

Solve the problem. -The probability that Luis will pass his statistics test is 0.94. Find the probability that he will fail his statistics test.

Use the addition rule to solve the problem. -Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 7, 8, or 4?

Use the addition rule to solve the problem. -If P(A) = 0.3, P(B) = 0.6, and = 0.2, then what is

Solve the problem. -Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.151. Find the probability that in a given year it will not snow on January 1st in that town.