Question

Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State true or false: (give reason for your answer)

A and B' are mutually exclusive

Options

• True

• False

Answer 1

This statement is False.

Reason:

Since B' = A         [from (iii)]

A ∩ B' = A ∩ A = Φ

A and B' are not mutually exclusive.