Q60 of 108 Page 271

If A and B are two events such that , the P(A′ ∩ B′) equals

We have,


We know that,


P(A|B) × P(B) = P(A ∩ B)


[Property of Conditional Probability]




Now, P(A’ ∩ B’) = 1 – P(A ∪ B)


= 1 – [P(A) + P(B) – P(A ∩ B)]


[∵P(A ∪ B) = P(A) + P(B) – P(A ∩ B)]








Hence, the correct option is C

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