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Given P(A)=0.56 , P(B)=0.4 , P(A cap B)=...

Given P(A)=0.56 , P(B)=0.4 , `P(A cap B)=0.3`, then P(A'/B') is equal to

A

`1//3`

B

`1//2`

C

`2//3`

D

`3//4`

Text Solution

Verified by Experts

The correct Answer is:
C
`P(A'|B')=(P(A' cap B'))/(P(B'))`
`=(P(A cup B)')/(P(B'))`
`=(1-P(A cup B))/(1-PB)`
`=(1-[P(A)+P(B)-P(A capB)])/(1-P(B))`
`=(1-[0.5+0.4-0.3])/(1-0.4)`
`=(0.4)/(0.6)`
`=(2)/(3)`
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