InterviewSolution
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InterviewSolution
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If A, B, C are any three events in an experiment then show that (i) P(A//B^(C)) = (P(A) - P(A nn B))/(1-P(B)) "if P"(B^(C)) gt 0 (ii) A sube B rArr P(A//C) le P(B//C) "if P(C)" gt 0 (iii) If A, B are mutually exclusive, then P(A//B^(C)) = (P(A))/(1-P(B)) "if P(B)" ne 1 (iv) If A, B are mutually exclusive and P(A uu B) ne 0 "then" P(A//A uu B) = (P(A))/(P(A) + P(B)) |
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Answer» <P> (ii) `RARR P(A//C) le P(B//C)` (iii) `P(A//B^(C)) = (P(A nn B^(C)))/(P(B^(C)))=(P(A))/(1-P(B))` (IV) `P(A nn B) = 0` |
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