NC Math 2 Probability Review

There are 5 green marbles, 9 red marbles, and 6 blue marbles in a bag. If two marbles are drawn, without replacement, find the probability that they are both green.

• 1/19

• 1/16

• 1/20

• 1/8

A card is drawn from a standard deck of 52 cards. Event A is drawing a heart and event B is drawing a
face card. Find  $P\left(A\cup B\right)$  . Leave your answer as a fraction.

(a)  

The table shows the results of a poll of randomly selected high school students who were asked if they would prefer to hear all-school announcements in the morning or afternoon. Is being an underclassmen independent of wanting to hear morning announcements?

• Yes; the conditional probabilities are different

• Yes; the conditional probabilities are similar

• No; the conditional probabilities are different

• No; the conditional probabilities are similar

A card is drawn from a bag containing 9 cards. The 9 cards are 3, J, C, 6, E, 8, 9, 5, and A. Find the probability of selecting a C or an even number.

• 1/9

• 2/9

• 3/9

• 4/9

A card is drawn from a bag containing 9 cards. The 9 cards are 3, J, C, 6, E, 8, 9, 5, and A. Find the probability of selecting an odd number or a multiple of 3.

• 3/9

• 4/9

• 5/9

• 6/9

The classes at a dance academy include ballet and tap dancing. 38 dancers enroll in both tap and ballet. 90 enroll in tap and 124 are enrolled in ballet. What is the probability that a dancer enrolls in tap given that they are enrolled in ballet? Leave your answer as a fraction.

(a)  

The classes at a dance academy include ballet and tap dancing. 38 dancers enroll in both tap and ballet. 90 enroll in tap and 124 are enrolled in ballet. What is the probability that a dancer enrolls in ballet given that they are enrolled in tap? Leave your answer as a fraction.

(a)  

Glenn surveyed 40 of his classmates to determine their favorite cafeteria food. The results of his survey are shown in the table. Suppose there are 200 students in the cafeteria during lunch. How many students would you expect to choose hamburgers as their favorite cafeteria food?

• 36

• 45

• 54

• 63

At the annual Science Club Festival, 12 of the first 90 participants in throwing a baseball through a tire game won first prize, 22 won second prize, and 32 won third prize. What is the experimental probability of not winning any of the three prizes? Leave you answer as a fraction.

(a)  

A standard die is rolled and the spinner shown is spun. In order to win the game, you must roll a number greater than four and have the spinner land on B. What is the probability that you will win the game?

• 1/8

• 1/16

• 1/24

• 1/32