Question

Two events A and B are said to be independent, if

(A) A and B are mutually exclusive.

(B) P(A’B’) = [1 – P(A)] [1 – P(B)]

(C) P(A) = P(B)

(D) P(A) + P(B) = 1

Answer 1

(B) P(A’B’) = [1 – P(A)] [1 – P(B)]

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Two events are independent,

if P(A ∩ B) = P(A) × P(B)

or P(A’ ∩ B’) = P(A’) P(B’) = [1 – P(A)][1 – P(B)]