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If P(B)=3/5, P(A//B)=1/2 and P(AuuB)=4/5...

If `P(B)=3/5, P(A//B)=1/2` and `P(AuuB)=4/5`, then `P(B//A)=`

A

a) `1/5`

B

b) `4/5`

C

c) `1/2`

D

d) `3/5`

Text Solution

Verified by Experts

The correct Answer is:
d) `3/5`
Given, `P(B)=3/5, P(A//B)=1/2` and `P(AuuB)=4/5`

`P(A//B)=(P(AnnB))/(P(B))`

`P(AnnB)=1/2*3/5=3/10`

`P(AuuB)=P(A)+P(B)-P(AnnB)`

`4/5=P(A)+3/5-3/10`

`1/5+3/10=P(A)`

`P(A)=1/2`

...
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