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UPSC NDA Math Model Paper 1
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© examsnet.com
Question : 45
Total: 120
In an experiment, it is found that the probability that a released bird will come back is
2
5
. It is also found that when a bird comes back, the probability that the bird will stay is
1
3
. In this experiment, what is the probability that a released bird will come back and fly away?
4
15
3
8
2
15
2
5
Validate
Solution:
It is given that
P
(
Bird comes back
)
=
2
5
and
P
(
Bird stays
)
=
1
3
.
The probability that the bird does not stay (flies away) after coming back
=
1
−
1
3
=
2
3
.
The probability of the event in question is:
P
(Bird comes back) AND
P
(Bird does not stay)
=
P
(
Bird comes back
)
×
P
(
Bird does not stay
)
=
2
5
×
2
3
=
4
15
© examsnet.com
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