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(i) If A,B,C are any three events in an ...

(i) If A,B,C are any three events in an experiment and `AsubeB`, `P(C ) gt 0` then show that `P(A//C) le P(B//C)`
(ii) If A, B are mutually exclusive and `P(B) ne 1` then show that `P(A//B^(C ))=(P(A))/(1-P(B))`
(iii) If A, B are mutually exclusive and `P(AuuB) ne 0` then `P(A//AuuB)=(P(A))/(P(A)+P(B))`

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