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NDA Math Probability
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© examsnet.com
Question : 12
Total: 100
If the probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct?
1.
P
(
A
)
+
P
(
B
)
=
2
−
2
p
−
q
2.
P
(
A
∩
B
)
=
1
−
p
−
q
Select the correct answer using the code given below:
[NDA II 2018]
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Validate
Solution:
P
(
A
)
+
P
(
B
)
−
2
P
(
A
∩
B
)
=
q
P
(
A
∩
B
)
=
p
P
(
A
)
+
P
(
B
)
=
2
p
+
q
1
−
P
(
A
)
+
1
−
P
(
B
)
=
p
+
q
P
(
A
)
+
P
(
B
)
=
2
−
2
p
−
q
P
(
A
∩
B
)
=
1
−
P
(
A
∪
B
)
=
1
−
(
q
+
p
)
=
1
−
p
−
q
© examsnet.com
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