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Let A and B be two events such that the ...

Let A and B be two events such that the probability that exactly one of them occurs is `1/5` and the probability that A or B occurs is `1/3` , then the probability of both of them occur together is :

A

`2/15`

B

`4/15`

C

`1/15`

D

`7/15`

Text Solution

Verified by Experts

The correct Answer is:
A
`P(A)+P(B) - 2 P (A cap B) = 1/5`
`P(A) +P(B)-P(A cap B) = 1/3`
`P(A cap B) = 2/15`
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