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AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper
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© examsnet.com
Question : 58
Total: 160
A
speaks truth in
20
%
of the cases and
B
in
80
%
of the cases, Find the probability that their statements about an incident do not match
3
25
7
25
4
25
8
25
None of the above
Validate
Solution:
Let
E
1
be the event of
A
speaking the truth
∴
P
(
E
1
)
=
20
100
=
1
5
P
(
E
1
)
=
1
−
1
5
=
4
5
E
2
be the event of
B
speaking the truth.
P
(
E
2
)
=
80
100
P
(
E
2
)
=
4
5
P
(
E
2
)
=
1
−
4
5
=
1
5
Required, Probability
=
P
(
E
1
)
⋅
P
(
E
2
)
+
P
(
E
2
)
⋅
P
(
E
1
)
=
1
5
×
1
5
+
4
5
×
4
5
=
1
25
+
16
25
=
17
25
© examsnet.com
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