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AND rule

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AND rule

Rule used for finding the combined probability of two or more independent events both occurring. If two events E1 and E2 are independent (have no effect on each other) and the probabilities of their taking place are p1 and p2, respectively, then the combined probability p that both E1 and E2 will happen is given by:

p = p1 × p2

For example, if a blue die and a red die are thrown together, the probability of a blue six is 1/6, and the probability of a red six is 1/6. Therefore, the probability of both a red six and a blue six being thrown is 1/6 × 1/6 = 1/36.

By contrast, the OR rule is used for finding the probability of either one event or another taking place.



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