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Manipal Entrance Test 2020 Math Paper
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© examsnet.com
Question : 1
Total: 70
If
A
and
B
are two such events that
P
(
A
∪
B
)
=
P
(
A
∩
B
)
, then which of the following is true?
P
(
A
)
+
P
(
B
)
=
0
P
(
A
)
+
P
(
B
)
=
P
(
A
)
P
(
B
/
A
)
P
(
A
)
+
P
(
B
)
=
2
P
(
A
)
P
(
B
/
A
)
None of the above
Validate
Solution:
Given,
P
(
A
∪
B
)
=
P
(
A
∩
B
)
⇒
P
(
A
)
+
P
(
B
)
−
P
(
A
∩
B
)
=
P
(
A
∩
B
)
⇒
P
(
A
)
+
P
(
B
)
=
2
P
(
A
∩
B
)
⇒
P
(
A
)
+
P
(
B
)
=
2
×
P
(
A
)
P
(
B
/
A
)
[
∵
P
(
B
/
A
)
=
P
(
A
∩
B
)
P
(
A
)
]
© examsnet.com
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