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Byju's Answer
Standard X
Mathematics
Mutually Exclusive Events
If two events...
Question
If two events A and B are mutually exclusive, then P(A/B) = ____________.
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Solution
for two mutually exclusive events A and B,
P
A
∩
B
= 0
∴
P
A
B
=
P
A
∩
B
P
B
=
0
.
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Similar questions
Q.
If A and B are two mutually exclusive events then
P
(
A
∪
B
)
=
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
P
(
A
/
B
)
=
P
(
B
/
A
)
.
A
and
B
are two non-mutually exclusive events then
Q.
Assertion :If the independent events
A
&
B
are such that
0
<
P
(
A
)
<
1
,
0
<
P
(
B
)
<
1
, then
A
&
B
can not be mutually exclusive. Reason: Two events
A
&
B
can not be mutually exclusive, if
P
(
A
∩
B
)
≠
0
.
Q.
If A and B are two mutually exclusive and exhaustive events, then
P
(
B
)
=
1
−
P
(
A
)
.
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