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If A and B are independent events then are A and B' independent?
Wiki User
∙ 14y ago
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
Wiki User
∙ 14y ago
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