Q11 of 29 Page 1

If A and B are two independent events, prove that A′ and B are also independent.

It is given that A and B are independent


Therefore, P(AꓵB) = P(A)P(B)


Now, P(A’ꓵB) = P(B) – P(AꓵB)


= P(B) – P(A)P(B)


= P(B)(1 – P(A))


= P(A’)P(B)


As, P(A’ꓵB) = P(A’)P(B)


Therefore, A, and B are independent.


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