If A and B are mutually exclusive, what is P(A|B)?

1 Answer
BeeFree
Dec 14, 2015

Given : A and B are mutually exclusive

#P(A|B)=0#

Explanation:

Let's look at a simple example ...

Using a regular 52 deck of cards, Queens and Kings are mutually exclusive. That is, if you pick one card and it is a queen, then it can not also be a king.

P(King | Queen) = 0

So, the probability of picking a king given you picked a queen is zero.

This would apply to any mutually exclusive event.

Hope that helps

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