Question 1

A bag contains 5 red marbles, 2 blue marbles, and 4 green marbles. What is the probability of choosing a blue marble?

Accepted Answer

C

Question 2

A lottery game contains 28 balls numbered 1 through 28. What is the probability of choosing a ball numbered 28, P(28)?

Accepted Answer

A

Question 3

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 5, P(sum of 5)?

Accepted Answer

C

Question 4

A packet of sour worms contains four strawberry, four lime, two black currant, two orange sour, and three green apples worms. What is the probability that Dustin will choose a green apple sour worm, P(green apple)?

Accepted Answer

The answer of A packet of sour worms contains four...

Question 5

A packet of sour worms contains four strawberry, four lime, two black currant, two orange sour, and three green apples worms. What is the probability that Dylan will not choose a green apple sour worm, P(not green apple)?

Accepted Answer

The answer of A packet of sour worms contains four...

Question 6

A 6-sided die is rolled. What is the probability of rolling a number less than 2?

Accepted Answer

The answer of A 6-sided die is rolled. What is...

Question 7

A bag contains 6 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?

Accepted Answer

The answer of A bag contains 6 red marbles, 2...

Question 8

A bag contains 15 balls numbered 1 through 15. What is the probability of selecting a ball that has an even number?

Accepted Answer

The answer of A bag contains 15 balls numbered 1...

Question 9

Two 6-sided 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 answer of Two 6-sided dice are rolled. What is...

Question 10

A sample space consists of 118 separate events that are equally likely. What is the probability of each?

Accepted Answer

The answer of A sample space consists of 118 separate...

Question 11

Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 4 possible answers.

Accepted Answer

The answer of Find the probability of correctly answering the...

Question 12

Find the indicated probability:
-In a family with family with 4 children, excluding multiple births, what is the probability of having 2 girls and 2 boys, in that order? Assume that a boy is as likely as a girl at each birth.

Accepted Answer

The answer of Find the indicated probability:
-In a family with...

Question 13

Find the probability:
-A single fair die is rolled. The number on the die is a 3 or a 5.

Accepted Answer

The answer of Find the probability:
-A single fair die is...

Question 14

Find the probability:
-A lottery game has balls numbered 1 through 21. A randomly selected ball has an even number or a 10.

Accepted Answer

The answer of Find the probability:
-A lottery game has balls...

Question 15

Find the probability:
-The table below describes the smoking habits of a group of asthma sufferers.  If one of the 1124 people is randomly selected, find the probability that the person is a man or a heavy smoker.

Accepted Answer

The answer of Find the probability:
-The table below describes the...

Question 16

Find the probability:
-A study conducted at a certain college shows that 62% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Accepted Answer

The probability that at least one graduate finds a job is 1 minus the probability that none of the graduates find a job. The probability that a single graduate does not find a job is 0.38 (1 - 0.62). For 5 graduates, the probability that none find a job is 0.38^5. Thus, the probability that at least one finds a job is 1 - 0.38^5 = 0.992.

Question 17

Find the probability:
-A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 26 that have no defects. What is the probability that at least one of the calculators is defective?

Accepted Answer

The probability of selecting at least one defective calculator can be found by subtracting the probability of selecting no defective calculators from 1. The probability of selecting no defective calculators from the total of 40 (14 defective + 26 non-defective) is the combination of choosing 4 non-defective calculators out of 26, divided by the combination of choosing 4 calculators out of 40. This is calculated as (26 choose 4) / (40 choose 4). The probability of at least one defective calculator is 1 minus this value, which results in 0.836.

Question 18

Find the probability:
-In a batch of 8,000 clock radios 6% are defective. A sample of 11 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

Accepted Answer

The answer of Find the probability:
-In a batch of 8,000...

Question 19

In a survey of the number of DVDs in a house, the table shows the probabilities. 
-Find the probability of a house having 1 or 2 DVDs.

Accepted Answer

The probability of a house having 1 or 2 DVDs can be found by adding the individual probabilities of having 1 DVD and having 2 DVDs, assuming these probabilities are given or can be calculated from provided data. Without specific data, we cannot calculate the exact probabilities, but the correct answer is chosen based on the options provided.

Question 20

In a survey of the number of DVDs in a house, the table shows the probabilities. 
-Find the probability of a house having 3 or more DVDs.

Accepted Answer

The probability of a house having 3 or more DVDs is 0.38.

Quiz 8: Probability

A bag contains 5 red marbles, 2 blue marbles, and 4 green marbles. What is the probability of choosing a blue marble?

A lottery game contains 28 balls numbered 1 through 28. What is the probability of choosing a ball numbered 28, P(28) ?

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 5, P(sum of 5) ?

A packet of sour worms contains four strawberry, four lime, two black currant, two orange sour, and three green apples worms. What is the probability that Dustin will choose a green apple sour worm, P(green apple) ?

A packet of sour worms contains four strawberry, four lime, two black currant, two orange sour, and three green apples worms. What is the probability that Dylan will not choose a green apple sour worm, P(not green apple) ?

A 6-sided die is rolled. What is the probability of rolling a number less than 2?

A bag contains 6 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?

A bag contains 15 balls numbered 1 through 15. What is the probability of selecting a ball that has an even number?

Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 9?

A sample space consists of 118 separate events that are equally likely. What is the probability of each?

Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 4 possible answers.

Find the indicated probability: -In a family with family with 4 children, excluding multiple births, what is the probability of having 2 girls and 2 boys, in that order? Assume that a boy is as likely as a girl at each birth.

Find the probability: -A single fair die is rolled. The number on the die is a 3 or a 5.

Find the probability: -A lottery game has balls numbered 1 through 21. A randomly selected ball has an even number or a 10.

Find the probability: -The table below describes the smoking habits of a group of asthma sufferers. If one of the 1124 people is randomly selected, find the probability that the person is a man or a heavy smoker.

Find the probability: -A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 26 that have no defects. What is the probability that at least one of the calculators is defective?

In a survey of the number of DVDs in a house, the table shows the probabilities. -Find the probability of a house having 1 or 2 DVDs.

In a survey of the number of DVDs in a house, the table shows the probabilities. -Find the probability of a house having 3 or more DVDs.