Let Aa n dB be two events such that P(An...

Let `Aa n dB` be two events such that `P(AnnB^(prime))=0. 20 ,P(A^(prime)nnB)=0. 15 ,P(A^(prime)nnB^(prime))=0. 1 ,t h e nP(A//B)` is equal to `11//14` b. `2//11` c. `2//7` d. `1//7`

`P(A|B)=2//7`

`P(AuuB)=0.55`

`P(A|B)=1//2`

Text Solution

Verified by Experts

The correct Answer is:

A, B, C

We are given that
`P[(AnnB')=0.20,P(A'nnB)=0.15,P(AnnB)=0.10`
Now, `P(B)=P(A'nnB)+P(AnnB)=0.15+0.20=0.35`
`thereforeP(A//B)=(P(A'nnB))/(P(B))=(0.10)/(0.35)=2/7`
`P(A)=P(AnnB')+P(AnnB)=0.3`
`P(AuuB)=P(A)+P(B)-P(AnnB)=0.55`
`P(B//A)=(P(BnnA))/(P(A))=1/3`

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