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Conditional probability facts for kids

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In probability theory, conditional probability is the probability of an event occuring, given that another event has occurred. Usually this is written as P(A\mid B). This is read as "probability of A given B". The two events need not be related. They also need not occur at the same time. In the most general case,

P(A\mid B) = \frac{P(A\cap B)}{P(B)}

Expressed in words: The conditional probability of A occurring given B is the probability of both events occurring, divided by the probability of B occurring. As a division by zero is not defined, the probability of B occurring must not be zero.

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