Compound Probability

A sample space of an experiment is given by S = {1, 2, 3, …, 20}. Event M and N are defined as follows:

M = {3, 6, 9, 12, 15, 18}

N = {1, 3, 5, 15}

Find P(M and N).

• 0.1

• 0.2

• 0.3

• 0.4

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

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8

A stack of magazines has 5 news magazines and 10 sports magazines. Two magazines are drawn at random without replacement. What is the probability of selecting a news magazine first and then a sports magazine?

The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?

• ½

• ⅜

• ¾

• ⅙

What is the probability of drawing a blue color and a number 4?

• 2/5

• 1/6

• 3/15

• 1/15

Which of the following shows how to determine P(packers or male)?

• 75/150 + 90/150 - 50/150

• 75/150 + 35/150 - 25/150

• 50/150 + 40/150 + 25/150

• 90/150 + 50/150 - 75/150

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