A six-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

Question

A six-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

johnnewman · Answer

hello guys

smartnerd1111 · Answer

If two events are mutually exclusive, it means that there is no way the two outcomes could happen in one event.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.