Question

Let A, B, and C be three events, which are pair-wise independent and E denotes the complement of an event E. If P(A ∩ B ∩ C) = 0 and P(C) > 0, then P[A ∩ B)| C]  is equal to

(A) P(A) - P(B)

(B) P(A) - P(B)

(C) P(A) - P(B)

(D) P(A) + P(B)

Answer 1

Answer is (A) P(A) - P(B)

We have