Probability and Statistics

If the probability of event A is 0.4 and the probability of event B is 0.3, what is the probability of both events A and B occurring?

• 0.34

• 0.1

• 0.7

• 0.12

If the probability of event A is 0.6 and the probability of event B is 0.5, what is the probability of either event A or event B occurring?

• 0.3

• 0.2

• 1.1

• 0.9

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly selecting a blue marble?

• 4/10

• 2/10

• 3/10

• 1/5

If the probability of event A is 0.2 and the probability of event B is 0.6, and A and B are independent events, what is the probability of both events A and B occurring?

• 0.8

• 0.4

• 0.12

• 0.02

A spinner is divided into 8 equal sections, numbered 1 through 8. What is the probability of the spinner landing on an even number?

• 1/4

• 1/2

• 3/8

• 2/3

If the probability of event A is 0.3 and the probability of event B is 0.5, what is the probability of event A not occurring?

• 0.8

• 0.5

• 0.3

• 0.7

If the probability of event A is 0.8 and the probability of event B is 0.2, and A and B are independent events, what is the probability of event A occurring and event B not occurring?

• 0.50

• 0.30

• 0.64

• 0.10

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

• 1/12

• 1/4

• 1/8

• 1/2

• 1/6

• 1/12

• 2/5

• 5/12

The probability that a student is a librarian is 0.2. Three students are chosen random. Find the probability that all three are librarians.

• 0.2

• 0.6

• 0.002

• 0.008