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Independent Events

Two events A and B in a sample space S are said to be independent if P (AB) = P (A).P (B).

For n independent events A1' A2 , ... ,An

                                P (At .. A2···An) = P(At) P(A2) ... P(An)·

If A and B are two independent events, then

P(A) = P(A I B) = P(A I B)

P(B) = P(B I A)= P(B I A).