Question

Show why it's not and find the 10 combinations that will be in both groups?

rolling 3 dice, are the events A: sum divisible by 3 and B: sum divisible 5 mutually exclusive?

Answer 1

Explanation:

Given that there are 3 events as

rolling 3 dice, are the events A: sum divisible by 3 and B: sum divisible 5

The sample space will have

(1,1,1)...(6,6,6)

Sum will start with 3 and end with 18

Sum divisible by 3 are 3,6,9..18

Sum divisible by 5 are 5,10,....15

The common element is 15

Hence these two events are not mutually exclusive.