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If P (A) = 0. 8, P(B) = 0. 5and P(B|A) =...

If `P (A) = 0. 8`, `P(B) = 0. 5`and `P(B|A) = 0. 4`, find (i) `P(AnnB)` (ii) `P(A|B)` (iii) `P(AuuB)`

Text Solution

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`(i)P(B//A)=0.4`
`therefore(P(AnnB))/(P(A))=0.4`
`or (P(AnnB))/(0.8)=0.4`
`or (P(AnnB)=0.32`
`(ii) P(A//B)=(P(AnnB))/(P(B))`
`or P(A//B)=(0.32)/(0.5)=0.64`
`(iii)P(AuuB)=P(A)+P(B)-P(AnnB)`
`or P(AuuB)=0.8+0.5-0.32=0.98.`
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