Let A , B and C be three events, which are pairwise independent and E denote the complement of an event E . If P ( A B C )=0 and P ( C ) 0 , then P (( A B ) / C) is equal to

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Correct answer: C. P ( A )- P ( B )

Given that A , B and C are pairwise independent. aligned & P(A B C)=0 & P(A) P(B) P(C)=0 & P(A) P(B)=0...(i) & P(( A B ) / C)= P( A B C) P(C) & = P( A ) P( B ) P( C ) P( C ) & =[1-P(A)] [1-P(B)] & =1-P(A)-P(B)+P(A) P(B) & =P( A )-P(B)...[From(i)] aligned

Let A , B and C be three events, which are pairwise independent and E denote the complement of an event E . If P ( A B C )=0 and P ( C ) 0 , then P (( A B ) / C) is equal to

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