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 even.
A card is drawn from the box and the number is 5.

B.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 3.

C.
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 9.

D.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 10.

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 even.
A card is drawn from the box and the number is 5.
 
 B.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 3.
 
 C.
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 9.
 
 D.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 10.

anonymous · Answer

Do you know what mutually exclusive events are ?

anonymous · Answer

not really

anonymous · Answer

When the probability of two events happening together is zero, they are called mutually exclusive. So the two events should be such that they both can not occur together.

anonymous · Answer

okay

anonymous · Answer

5 is not an even number so getting an even number and at the same time getting a 5 is not possible

anonymous · Answer

that is from choice A

anonymous · Answer

So these two events are mutually exclusive

anonymous · Answer

Oh, I understand now. Thanks so much! :)