Question

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:
A: the sum is greater than 8,                              B:2 occurs on either die
C: The sum is at least 7 and a multiple of 3.
Which pairs of these events are mutually exclusive?

Answer 1

When a pair of dice is rolled, the sample space is given by

It is observed that
A ∩ B =Φ
B ∩ C =Φ

Hence, events A and B and events B and C are mutually exclusive.