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Standard IX
Maths
Question
If the events A and B are such that
P
(
A
)
=
1
4
,
P
(
A
B
)
=
1
2
and
P
(
B
A
)
=
2
3
, the P(B) is equal to
1
6
2
3
1
3
1
2
A
1
6
B
1
3
C
2
3
D
1
2
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Solution
Verified by Toppr
Using Baye's Formula
P
(
A
∣
B
)
=
P
(
B
∣
A
)
.
P
(
A
)
P
(
B
)
⇒
1
2
=
2
3
×
1
4
P
(
B
)
⇒
P
(
B
)
=
4
12
=
1
3
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Similar Questions
Q1
If the events A and B are such that
P
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A
)
=
1
4
,
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A
B
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=
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2
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)
=
2
3
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Q2
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