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Byju's Answer
Standard X
Mathematics
Probability
If A and B ar...
Question
If A and B are two mutually exclusive events such that
P
(
A
)
=
0.55
and
P
(
B
)
=
0.35
then
P
(
¯
A
∪
¯
B
)
=
A
1
4
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B
1
2
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C
1
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D
1
8
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Solution
The correct option is
D
1
Doesn't matter what is the value of
P
(
A
)
or
P
(
B
)
.
Because A & B both are mutually cases.
So
P
(
¯
A
∪
¯
B
)
=
1
.
Suggest Corrections
1
Similar questions
Q.
Assertion :Statement-1 : If A and B be mutually exclusive events in a sample space such that P(A)
=
0.3
a
n
d
P
(
B
)
=
0.6
,
then
p
(
¯
A
∩
¯
B
)
=
0.28
Reason: Statement-2 : If A and B are mutually exclusive events then
P
(
A
∩
B
)
=
0
Q.
If A and B are mutually exclusive events with
P
(
B
)
≠
1
, then
P
(
A
∣
¯
B
)
=
Q.
If A and B are two events such that
P
(
A
)
>
0
and
P
(
B
)
≠
1
, then
P
(
¯
A
/
¯
B
)
=
Q.
If A and B are mutually exclusive events such that
P
(
A
)
=
3
5
and
P
(
B
)
=
1
5
, then find
P
(
A
∪
B
)
.
Q.
Assertion :If A, B, C are three events such that
P
(
A
)
=
1
4
,
P
(
B
)
=
1
6
&
P
(
C
)
=
2
3
then events A, B, C are mutually exclusive. Reason: If
P
(
A
∪
B
∪
C
)
=
P
(
A
)
+
P
(
B
)
+
P
(
C
)
then A, B, C are mutually exclusive events.
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