Theorem 3.9. For two events A and B, P (AnB) = P(A) .P (B IA), P(A) > 0 = P (B) . P(A \B), P(B) >0 } zwhere P(B |A) represents conditional probability of occurrence of B when the event A has already happened and P(A IB) is the conditional probability of happening of A, given that B has already happened.

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Q: Prove that AAB = (AU B) - (An B),

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Q: Z

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Q: Prove that (An (BUC)) = AU BUC.

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