ProbabilityHard

Question

Let Ec denote the complement of an event E. Let E, F, G be pairwise independent events with P(G) > 0 and P(E ∩ F ∩ G) = 0. Then P(Ec ∩ Fc|G) equals

Options

A.P(Ec) + P(Fc)
B.P(Ec) - P(Fc)
C.P(Ec) - P(F)
D.P(E) - P(Fc)

Solution


      [ ∵ P(G) ≠ 0]
= 1 - P(E) - P(F)
= P(Ec) - P(F).

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