A and B are two events such that P (A) ≠ 0. Find P(B|A), if
(i) A is a subset of B
(ii) A ∩ B = Ф
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(i) If A is a subset of B, (A⊂B),→P(A∩B)=P(A)(A⊂B),→P(A∩B)=P(A)
Therefore, P(BA)=P(BA)=(P(A∩B)P(A))=P(A)P(A)(P(A∩B)P(A))=P(A)P(A)=1=1
(ii) A∩B=ϕ→P(A∩B)=0A∩B=ϕ→P(A∩B)=0
Therefore, P(BA)=P(BA)=(P(A∩B)P(A))=0
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