Question

For any two events A and B in a sample space

(A) P(A/B) ≥ (P(A) + P(B) - 1)/P(B), P(B) ≠ 0 is always true

(B) P(A ∩ B) = P(A) - P(A ∩ B) does not hold

(C) P(A ∪ B) = 1 - P(A)P(B), if A and B are disjoint

(D) None of these

Answer 1

Answer is (A) P(A/B) ≥ (P(A) + P(B) - 1)/P(B), P(B) ≠ 0 is always true

We know that

P(A/B) = (P(A ∩ B)/P(B)

Also we know that