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

Question

Philoid · Accepted Answer

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