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NDA Math Probability Part 2
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© examsnet.com
Question : 34
Total: 59
A husband and wife appear in an interview for two vacancies for the same post. The probability of the husband's selection is
1
7
and that of wife's selection is
1
5
If the events are independent, then the probability of which one of the following is
11
35
?
[NDA-I 2020]
At least one of them will be selected
Only one of them will be selected
None of them will be selected
Both of them will be selected
Validate
Solution:
👈: Video Solution
Probability for Husband's selection
P
(
H
)
=
1
7
Probability when Husband is not selection
P
(
H
′
)
=
1
−
1
7
=
6
7
Probability for wife's selection
P
(
W
)
=
1
5
Probability when Wife is not selected
P
(
W
′
)
=
1
−
1
5
=
4
5
As both are independent event.
So, probability for atleast one of them will be selected
=
P
(
H
)
P
(
W
′
)
+
P
(
H
′
)
P
(
W
)
=
1
7
×
4
5
+
6
7
×
1
5
=
11
35
© examsnet.com
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