Question

Which of the following pair of events are non-mutually exclusive events in a single throw of a die?

• A. Getting a perfect cube number or getting an odd number.
• B. Getting an even number or getting a perfect square number.
• C. Getting an odd number or getting an even number.
• D. Getting a number divisible by '1' or getting a number divisible by '2'.

Answer 1

Answer: (A), (B), (D)

The correct options are
A Getting a perfect cube number or getting an odd number.
B Getting an even number or getting a perfect square number.
D Getting a number divisible by '1' or getting a number divisible by '2'.

Mutually exclusive events are those events in which the occurence of one event prevents the occurance of the other event.

'1' is both a perfect cube number and an odd number so, when '1' is obtained both the events can happen together.

'4' is both a perfect square number and even number so, when '4' is obtained both the events can happen together.

Getting an even number and an odd number can not happen together because while rolling a die either an even number appears or an odd number appears.

Since every number is divisible by '1', obtaining a number that is divisible by 1 and 2 are not mutually exclusive events.