You roll a six-sided number cube. Which events are mutually exclusive? A) rolling a multiple of 2 and a multiple of 4B) rolling a multiple of 3 and a multiple of 6 C) rolling an even number and an odd number D) rolling a prime number and an even number

Events are mutually exclusive only if they cannot both be true.
Only C is alright.

4 is a multiple of two so it can't be right.
Same logic works for B.

And then 2 is prime so then D is out too.