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VITEEE 2019 Solved Paper
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© examsnet.com
Question : 114
Total: 125
It is given that the events A and B are such that
P
(
A
)
=
1
4
,
P
(
A
|
B
)
=
1
2
and
P
(
B
|
A
)
=
2
3
.
Then P(B) is
1
6
1
3
2
3
1
2
Validate
Solution:
P
(
A
)
=
1
4
,
P
(
A
|
B
)
=
1
2
and
P
(
B
|
A
)
=
2
3
.
By conditional probability,
P(A ⋂ B) = P(A) P(B|A) = P(B) P(A|B)
⇒
1
4
×
2
3
=
P
(
B
)
×
1
2
⇒
P
(
B
)
=
1
3
© examsnet.com
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