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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)`

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The correct Answer is:
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`P(A)=0.8, P(B)=0.5, P(B/A)=0.4`
(i) `P(B/A)=(P(AnnB))/(P(A))`
`= gtP(AnnB)/0.8=0.4implies(AnnB)`
`=0.8xx0.4=0.32`
(ii) `P(A/B)=(P(AnnB))/(P(B))=0.32/0.5=32/50`
`=0.64`
(iii) `P(AuuB)=P(A)+P(B)-P(AnnB)`
`impliesP(AuuB)=0.8+0.5-0.32=0.98`
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