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If `S` is the sample space and `P(A)=1/3P(B)` and `S=AuuB` ,where `A` and `B` are two mutually exclusive events then `P(A)=`

A

a) `1/4`

B

b) `1/2`

C

c) `3/4`

D

d) `3/8`

Text Solution

Verified by Experts

Let, `A` and `B` are two mutually exclusive events.

`P(AnnB)=0`

`P(AuuB)=1` (it is exclusive event)

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

Given, `P(A)=1/3P(B)`

`1=P(A)+3P(A)-0`

`1=4P(A)`

`P(A)=1/4`

...
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