Byju's Answer
Standard XII
Mathematics
Axiomatic Approach
If two events...
Question
If two events A and B are such that
P
(
A
c
)
=
0.3
,
P
(
B
)
=
0.4
and
P
(
A
∩
B
c
)
=
0.5
then the value of
P
(
B
A
∪
B
c
)
is
A
1
8
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B
1
4
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C
1
2
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D
2
3
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Solution
The correct option is
B
1
4
P
(
B
A
∪
B
c
)
=
P
(
B
∩
(
A
∪
B
c
)
)
P
(
A
∪
B
c
)
=
P
(
A
∩
B
)
P
(
A
)
+
P
(
B
c
)
−
P
(
A
∩
B
c
)
=
P
(
A
)
−
P
(
A
∩
B
c
)
P
(
A
)
+
P
(
B
c
)
−
P
(
A
∩
B
c
)
=
0.7
−
0.5
0.8
=
1
4
Suggest Corrections
0
Similar questions
Q.
If two events A and B are such that
P
(
A
C
)
=
0.3
,
P
(
B
)
=
0.4
,
P
(
A
∩
B
C
)
=
0.5
, then find the value of
P
[
B
A
∪
B
C
]
Q.
If two events
A
and
B
such that
P
(
A
c
)
=
0.3
,
P
(
B
)
=
0.4
and
P
(
A
∩
B
c
)
=
0.5
,
P
[
B
/
A
∪
B
c
)
]
=
1
k
,then value of k is
Q.
If two events
A
and
B
are such that
P
(
A
C
)
=
0.3
,
P
(
B
)
=
0.4
and
P
(
A
B
C
)
=
0.5
, then
P
[
B
/
(
A
∪
B
C
)
]
is equal to
Q.
Let
A
and
B
be two events with
P
(
A
C
)
=
0.3
,
P
(
B
)
=
0.4
and
P
(
A
∩
B
C
)
=
0.5
. Then,
P
(
B
|
A
∪
B
C
)
is equal to
Q.
If two events
A
and
B
such that
P
(
A
c
)
P
(
B
)
=
0.4
and
P
(
A
B
c
)
=
0.5
,
then
P
[
B
/
(
A
∪
B
c
)
]
=......
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