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AP EAPCET 07-Jul-2022 Shift 1 Paper
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© examsnet.com
Question : 37
Total: 160
In a toy factory, the machines
A
,
B
and
C
are used to manufacture
30
%
,
40
%
and
30
%
of the output, respectively. The probabilities of toys made by machines
A
,
B
, and
C
to be defective are respectively
2
%
,
3
%
and
1
%
. A toy is taken from the factory and is found to be defective. The probability that it was manufactured by the machine
B
is
4
5
2
9
3
4
4
7
Validate
Solution:
👈: Video Solution
P
(
A
)
=
30
100
,
P
(
B
)
=
40
100
,
P
(
C
)
=
30
100
P
(
E
A
)
=
2
100
,
P
(
E
B
)
=
3
100
,
P
(
E
C
)
=
1
100
where
E
denotes defective toys.
∴ Required probability
=
P
(
B
E
)
=
P
(
B
)
⋅
P
(
E
B
)
P
(
A
)
⋅
P
(
E
A
)
+
P
(
B
)
⋅
P
(
E
B
)
+
P
(
C
)
⋅
P
(
E
C
)
.
.
.
[
by
Baye
′
s
theorem
]
=
40
100
×
3
100
30
100
×
2
100
+
40
100
×
3
100
+
30
100
×
1
100
=
120
60
+
120
+
30
=
120
210
=
4
7
© examsnet.com
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