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If A and B are independent events then are A and B' independent?

Answer:
if P(A)>0 then P(B'|A)=1-P(B|A)

so P(A intersect B')=P(A)P(B'|A)=P(A)[1-P(B|A)]
=P(A)[1-P(B)]
=P(A)P(B')

the definition of independent events is if P(A intersect B')=P(A)P(B')

that is the proof
First answer by Allgag. Last edit by Allgag. Contributor trust: 0 [recommend contributor recommended]. Question popularity: 3 [recommend question].

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