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If P (A) =6/(11), P(B) =5/(11)and P(AuuB...

If `P (A) =6/(11)`, `P(B) =5/(11)`and `P(AuuB)=7/(11)`, find(i) `P(AnnB)` (ii) `P(A|B)` (iii) `P(B|A)`

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The correct Answer is:
N/a
Given `P(AuuB)=7/11`
`P(A)=6/11` and `P(B)=5/11`
(i) `P(AuuB)=P(A)+P(B)-P(AnnB)`
`implies7/11=6/11+5/11-P(AnnB)`
`impliesP(AnnB)=6/11+5/11-7/11=4/11`
(ii) `P(A/B)=(P(AnnB))/(P(B))`
`impliesP(A/B)=(4/11)/(5/11)=4/11xx11/5=4/5`
(iii) `P(B/A)=(P(BnnA))/(P(A))`
`impliesP(B/A)=(4/11)/(6/11)=4/11xx11/6=4/6=1/3`
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NAGEEN PRAKASHAN ENGLISH-PROBABIILITY-Exercise 13.1
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