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Let A & B be two events. Suppose P(A) = ...

Let A & B be two events. Suppose `P(A) = 0.4` , `P(B) = p` and `P(AuuB)=0.7` The value of `p` for which `A` and `B` are independent is

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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