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Byju's Answer
Standard XII
Mathematics
Intersection of Sets
If A B are ...
Question
If A & B are two events then
P
{
(
A
∩
¯
B
)
∪
(
¯
A
∩
B
)
}
=
A
P
(
A
∪
B
)
−
P
(
A
∩
B
)
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B
P
(
A
∪
B
)
+
P
(
A
∩
B
)
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C
P
(
A
)
+
P
(
B
)
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D
P
(
A
)
+
P
(
B
)
+
P
(
A
∩
B
)
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Solution
The correct option is
C
P
(
A
∪
B
)
−
P
(
A
∩
B
)
P
(
A
∪
B
)
−
P
(
A
∩
B
)
Suggest Corrections
0
Similar questions
Q.
Assertion :If
P
(
A
/
B
)
=
P
(
B
/
A
)
. A, B are two non mutually exclusive events then
P
(
A
)
=
P
(
B
)
. Reason: For non mutually exclusive events
(
A
∩
B
)
≠
ϕ
and
P
(
A
/
B
)
=
P
(
A
∩
B
)
P
(
B
)
,
P
(
B
/
A
)
=
P
(
A
∩
B
)
P
(
A
)
.
Q.
If A and B are two events, then P (
A
∩ B) =
(a) P
A
P
B
(b) 1 − P (A) − P (B)
(c) P (A) + P (B) − P (A ∩ B)
(d) P (B) − P (A ∩ B)