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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