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In probability theory, The Multiplication Rule states that the probability that A and B occur is equal to the probability that A occurs times the probability that B occurs, given that we know A has already occurred. This rule can be written:
P(A∩B) = P(B) x P(A|B),
or alternatively as:
P(A∩B) = P(A) x P(B|A).
As illustrated in , the events A and B are defined on a sample space, which is the set of all possible outcomes of an experiment.