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AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper
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Section:
Mathematics
© examsiri.com
Question :
78 of 160
Marks:
+1
,
-0
A
and
B
are two candidates seeking admission in a college. The probability that A is selected is
0
.7
and the probability that exactly one of them is selected is
0.6
. Find the probability that
B
is selected.
0.15
0.20
0.25
0.30
Validate
Solution:
Given,
P
(
A
)
=
0.7
Probability of exactly one of them is selected
=
0.6
P
[
(
A
∩
B
)
∪
(
A
∩
B
)
]
=
0.6
P
(
A
)
+
P
(
B
)
−
2
P
(
A
∩
B
)
=
0.6
0.7
+
P
(
B
)
−
2
P
(
A
)
â‹…
P
(
B
)
=
0.6
[
∵
A
,
B
are independent events
]
P
(
B
)
−
2
â‹…
(
0.7
)
P
(
B
)
=
0.6
−
0.7
P
(
B
)
−
‌
7
5
P
(
B
)
=
−
0.1
‌
−
2
5
P
(
B
)
=
‌
−
1
10
P
(
B
)
=
‌
1
4
⇒
P
(
B
)
=
0.25
© examsiri.com
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