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 True.

Reason:

A: The first die is an even number

B: The first die is an odd number

No event A and B are common.

A ∩ B = ϕ

⇒ A and B are mutually exclusive events.