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NDA Math Probability
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© examsnet.com
Question : 32
Total: 100
If
P
(
B
)
=
3
4
,
P
(
A
∩
B
∩
−
C
)
=
1
3
and
P
(
−
A
∩
B
∩
−
C
)
=
1
3
,then what is
P
(
B
∩
C
)
equal to ?
[NDA II 2017]
1
12
3
4
1
15
1
9
Validate
Solution:
P
(
B
∩
−
C
)
=
P
(
A
∩
B
∩
−
C
)
+
P
(
−
A
∩
B
∩
−
C
)
=
1
3
+
1
3
=
2
3
P
(
B
)
=
P
(
B
∩
C
)
+
P
(
B
∩
−
C
)
⇒
P
(
B
∩
C
)
=
P
(
B
)
−
P
(
B
∩
−
C
)
=
3
4
−
2
3
=
1
12
© examsnet.com
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