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JEE Advanced 2012 Paper 2 Mathematics Q18
Mathematics
Problem
Let
X
X
X
and
Y
Y
Y
be two events such that
P
(
X
∣
Y
)
=
1
2
P(X\mid Y)=\dfrac12
P
(
X
∣
Y
)
=
2
1
,
P
(
Y
∣
X
)
=
1
3
P(Y\mid X)=\dfrac13
P
(
Y
∣
X
)
=
3
1
and
P
(
X
∩
Y
)
=
1
6
P(X\cap Y)=\dfrac16
P
(
X
∩
Y
)
=
6
1
. Which of the following is (are) correct?
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