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NDA Math Probability Part 2
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© examsnet.com
Question : 32
Total: 59
If
A
and
B
are two events such that
P
(
A
)
=
3
4
and
P
(
B
)
=
5
8
, then consider the following statements:
1. The minimum value of
P
(
A
∪
B
)
is
3
4
.
2. The maximum value of
P
(
A
∩
B
)
is
5
8
.
Which of the above statements is\/are correct?
[NDA-I 2021]
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Validate
Solution:
👈: Video Solution
Concept:
For any two events A and B
- The minimum value of
P
(
A
∪
B
)
=
max
[
P
(
A
)
,
P
(
B
)
]
- The maximum value of
P
(
A
∩
B
)
=
min
[
P
(
A
)
,
P
(
B
)
]
Calculation:
Given
P
(
A
)
=
3
4
and
P
(
B
)
=
5
8
P
(
A
)
>
P
(
B
)
∴
The minimumvalue of
P
(
A
∪
B
)
=
3
4
The maximum value of
P
(
A
∩
B
)
=
5
8
Hence both 1 and 2 are correct
© examsnet.com
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