Question

A box contains 10 cards numbered 1 through 10.

Which events are mutually exclusive?

A.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 10.

B.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 4.

C.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 8.

D.
A card is drawn from the box and the number is a multiple of 3.
A card is drawn from the box and the number is 6.

Answer 1

It's answer will be option A.

As in option A, both statements can not be true at the same time.
In option A, first statement is that the card drawn has odd number and second statement is card drawn is 10, which can not be possible at the same time.

In option B, both statements can be true at the same time.
In option B, first statement is that the card drawn has an even number and second statement is card drawn is 4, which can be possible at the same time.

In option C, both statements can be true at the same time.
In option C, first statement is that the card drawn has an even number and second statement is card drawn is 8, which can be possible at the same time.

In option D, both statements can be true at the same time.
In option D, first statement is that the card drawn has a number which is multiple of 3 and second statement is card drawn is 6, which can be possible at the same time.

So, the events of option A are mutually exclusive.