Asix-sided number cube with faces numbered 1, 2, 3, 4, 5, and 6 is rolled. which events are mutually exclusive?

a. rolling a 4, rolling a prime number

b. rolling a 3, rolling a prime number

c. rolling a 2, rolling an even number

d. rolling a 5, rolling an odd number

The answer is A.

Mutually exclusive means something that can't happen at the same time.

You can't roll a 4 and say you got a prime number. So A is your answer.

B is wrong because if you roll a 3, you are also rolling a prime number.

C is wrong because if you roll a 2, you are also rolling an even number.

D is wrong because if you roll a 5, you are also rolling an odd number.