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Conditional Probability
the probability of an event occurring, given that another event has already occurred
The Conditional Probability of event B occurring, given that A has already occurred, is...
P (B | A) =
P(A ∩ B) / P(A)
The conditional probability of event A occurring, given that B has already occurred, is...
P (A | B) =
P(A ∩ B)/ P(B)