Answer: C) rolling an even number and an odd number
Step-by-step explanation:
For any event A and B , we say they are mutually exclusive if they are disjoint such that there have no elements in common.
Let's check all the options:
A) rolling a multiple of 2 and a multiple of 4
Multiple of 2 on dice = 2,4,6
Multiple of 4 on dice = 4
They are not disjoint since 4 is the common element.
B) rolling a multiple of 3 and a multiple of 6
Multiple of 3 on dice = 3,6
Multiple of 6 on dice = 6
They are not disjoint since 6 is the common element.
C) rolling an even number and an odd number
Even number on dice = 2,4,6
Odd number on dice = 1,3,5
∴ They are disjoint event as they have no common element.
D) rolling a prime number and an even number.
Prime number on dice = 2,3,5
They are not disjoint since 2 is the common element.
