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Multiplication Rule



Given the probabilities of two independent events, the multiplication rule states that the probability that both events occur is found by multiplying the probabilities of each event.

Formula: Denote events A and B and the probabilities of each by P(A) and P(B). Then
P(A and B) = P(A)xP(B).


If we roll a six sided die and flip a coin, these two events are independent. The probability of rolling a 1 is 1/6. The probability of a head is 1/2. The probability of rolling a 1 and getting a head is
1/6 x 1/2 = 1/12

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