1.

If A and B are mutually exclusive events, thenA. `P(A)lePoverset(-)((B))`B. `P(A)gePoverset(-)((B))`C. `P(A)ltPoverset(-)((B))`D. None of these

Answer» Correct Answer - A
(a) For mutually exclusive events
`P(AcapB)=0`
`P(AcupB)=P(A)+P(B)-P(AcapB)`
`rArr" "P(AcupB)=P(A)+P(B)`
`rArr" "P(A)+P(B)le1`
`rArr" "P(A)+1-P(B)le1" "[becauseP(B)=1-P(B)]`
`therefore" "P(A)lePoverset(-)((B))`


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