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NDA Math Probability
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© examsnet.com
Question : 62
Total: 100
For two mutually exclusive events A and B,P(A) = 0⋅2 and
P
(
A
∩
B
)
=
0
⋅
3
.What is P(A|A∪B) equal to ?
[NDA I 2016]
1
2
2
5
2
7
2
3
Validate
Solution:
Events A and B are mutually exclusive.
Hence
P
(
A
∩
B
)
=
ϕ
=
0
∴
P
(
A
∪
B
)
=
P
(
A
)
+
P
(
B
)
.....(1)
P
(
A
)
=
0.2
[given]
P
(
B
)
=
P
(
A
∩
B
)
+
P
(
A
∩
B
)
P
(
B
)
=
P
(
A
∩
B
)
[
∵
P
(
A
∩
B
)
=
0
]
=
0.3
P
(
A
∪
B
)
=
0.2
+
0.3
=
0.5
P
(
A
|
(
A
∪
B
)
)
=
P
(
A
)
P
(
A
∪
B
)
=
0.2
0.5
=
2
5
P
(
A
|
(
A
∪
B
)
)
=
2
5
© examsnet.com
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