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Let Aa n dB be two events. Suppose P(A)=...

Let `Aa n dB` be two events. Suppose `P(A)=0. 4 ,P(B)=p ,a n dP(AuuB)=0. 7.` The value of `p` for which `Aa n dB` are independent is `1//3` b. `1//4` c. `1//2` d. `1//5`

A

`1//3`

B

`1//4`

C

`1//2`

D

`1//5`

Text Solution

Verified by Experts

The correct Answer is:
C
`P(AuuB)=P(A)+P(B)-P(A)xxP(B)`
`implies0.7=0.4+p-0.4p`
`therefore0.6p=0.3orp=1/2`
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