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If P(AnnB)=1/2,P( A nn B )=1/3, P(A)=p...

If `P(AnnB)=1/2,P( A nn B )=1/3, P(A)=p , P(B)=2p ,` then find the value of `pdot`

Text Solution

Verified by Experts

The correct Answer is:
`7//18`
We have,
`P(barA nn barB) = (1)/(3)`
` = P(bar(AuuB)) = (1)/(3)`
`implies 1 - P(A uu B) = (1)/(3)`
`or P(A uu B) = (2)/(3)`
or `P(A) + P(B) - P(A nn B) = (2)/(3)`
`implies p + 2p - (1)/(2) = (2)/(3)`
or `p = (7)/(18)`
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