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JEE Main Math Class 12 Probability Part 1 Questions
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© examsnet.com
Question : 55
Total: 100
If
A
and
B
are any two events such that
P
(
A
)
=
2
5
and
P
(
A
∩
B
)
=
3
20
,
then the conditional probability,
P
(
A
|
A
′
∪
B
′
)
)
,
where
A
′
denotes the complement of
A
,
is equal to :
[Online April 9, 2016]
11
20
5
17
8
17
1
4
Validate
Solution:
P
(
A
)
=
2
5
=
8
20
;
P
(
A
∩
B
)
=
3
20
P
(
A
∩
B
)
=
1
−
3
20
⇒
P
(
A
∪
B
)
=
17
20
A
∩
(
A
′
∪
B
′
)
=
A
−
(
A
∩
B
)
∴
P
(
A
−
(
A
∩
B
)
)
=
5
20
∴
P
(
A
∕
(
A
′
∩
B
′
)
=
P
(
A
−
(
A
∩
B
)
)
P
(
A
∪
B
)
=
5
17
© examsnet.com
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