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If A and B are two events such that P(A)...

If `A` and `B` are two events such that `P(A)=0.4 ,\ P(B)=0.3` and `P(AuuB)=0.5` ,then `P(BnnA)` equals

A

a) `2/3 `

B

b) `1/2`

C

c) `3/(10)`

D

d) `1/5`

Text Solution

Verified by Experts

The correct Answer is:
d) `1/5`
Given, `P(A)=0.4 ,\ P(B)=0.3` and `P(AuuB)=0.5`

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

`0.5=0.4+0.3-P(AnnB)`

`P(AnnB)=0.2`


`P(B'nnA)=P(A)-P(AnnB)`

`P(B'nnA)=0.4-0.2=0.2`

Hence, correct option is d)
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