An experiment involves rolling a pair of dice and recording thenumbers that come up Describe the following events: A: - Maths - Probability

Question

An experiment involves rolling a pair of dice and recording
thenumbers 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?

Global Expert · Accepted Answer

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

An experiment involves rolling a pair of dice and recording thenumbers 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?

An experiment involves rolling a pair of dice and recording thenumbers 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?