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Byju's Answer
Standard XII
Mathematics
Intersection of Sets
A and B are...
Question
A
and
B
are events such that
p
(
A
∪
B
)
=
3
/
4
,
P
(
A
∩
B
)
=
1
4
,
P
(
¯
A
)
=
2
3
, then
P
(
(
¯
A
∩
B
)
equals
A
5
12
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B
3
8
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C
4
5
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D
5
4
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Solution
The correct option is
A
5
12
Given
P
(
A
∪
B
)
=
3
/
4
P
(
A
∩
B
)
=
1
/
4
P
(
¯
A
)
=
2
/
3
∴
P
(
B
)
=
2
3
By using
P
(
B
)
=
P
(
A
∪
B
)
+
P
(
A
∩
B
)
−
P
(
A
)
∴
P
(
¯
A
∩
B
)
=
2
3
−
1
4
=
5
12
Suggest Corrections
0
Similar questions
Q.
Let
A
and
B
be two events such that
P
(
A
∩
B
)
=
1
3
,
P
(
A
∪
B
)
=
5
6
and
P
(
¯
A
)
=
1
2
. Then
Q.
If A and B are events such that
P
(
A
)
=
3
8
,
P
(
B
)
=
5
8
and
P
(
A
∪
B
)
=
3
4
,
then
P
(
A
B
)
=
Q.
Assertion :For two events A & B such that
P
(
A
)
=
P
(
A
/
B
)
=
1
4
&
P
(
B
/
A
)
=
1
2
then
P
(
¯
A
/
B
)
=
3
4
&
P
(
¯
B
/
A
)
=
1
2
. Reason: Two events A & B are independent then
P
(
B
/
A
)
=
P
(
B
)
.
Q.
If
A
and
B
are two events, such that
P
(
A
∪
B
)
=
3
4
,
P
(
A
∩
B
)
=
1
4
and
P
(
¯
A
)
=
2
3
, where
¯
A
is the complement of
A
, then what is the value of
P
(
B
)
Q.
If
A
and
B
are two events such that
P
(
A
)
=
3
4
and
P
(
B
)
=
5
8
, then
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