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(AuuB)'=….....

`(AuuB)`'=…..

A

`A'nnB'`

B

`A'uuB`

C

`A'nnB`

D

`AnnB`

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If A and B are any two events such that P(A)=(2)/(5) and P(AnnB)=(3)/(20) , then the conditional probability, P(A//(A'uuB')) , where A' denotes the complement of A, is equal to

(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))