Question

If E and F are two independent events; such that P(E ∩ F) = 1/6, P(E^c ∩ F^c) = 1/3 and [P(E) - P(F)][1 - P(F)] > 0, then

(A) P(E) = 1/2

(B) P(E) = 1/4

(C) P(F) = 1/3

(D) P(F) = 2/3

Answer 1

Answer is (A), (C)