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If A and B are two events with with `P(A)=3/5` and `P(B)=4/9`, then `P(A'capB')` equals to

A

`4/15`

B

`8/45`

C

`1/3`

D

`2/9`

Text Solution

Verified by Experts

`P(A'capB')=1-P(AcupB)`
`=1-[P(A)+P(B)-P(AcapB)]`
`=1-[3/5+4/9-3/5xx4/9]` `[becauseP(AcapB)=P(A)cdotP(B)]`
`=1-[(27+20-12)/(45)]=1-35/45=10/45=2/9`
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