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If A and B are two independent events, ...

If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by `1-P'(A)P'(B)`

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P(A∩B) = P(B) P(A∩B) = P(A) + (B) - P(A^B)
. = P(A) + (B) - P(A) P(B.
. = P(A) + P(B) [1 - P(A)]
. = 1 - P(A') + P(B) P(A')
. = 1 - P(A') [1 - P(B)]
. P(A∩B) = 1 - P(A') P(B')
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