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If A and B are mutually exclusive events...

If A and B are mutually exclusive events, then

A

`P(A)lePoverset(-)((B))`

B

`P(A)gePoverset(-)((B))`

C

`P(A)ltPoverset(-)((B))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
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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