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UPSC NDA Math Model Paper 6
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© examsnet.com
Question : 27
Total: 120
In a cricket match, if the probability that Dhoni will make a century in any match is
4
5
, then what is the probability that he will make at least one century in three matches?
124
125
4
5
4
15
4
125
Validate
Solution:
Probability of Dhoni making a century
=
4
5
.
Probability of Dhoni not making a century
=
1
−
4
5
=
1
5
.
Probability of Dhoni making no century in three matches:
P(not century) AND P(not century) AND P(not century)
P(not century) × P(not century) × P(not century)
=
1
5
×
1
5
×
1
5
=
1
125
∴
Probability of matches
=
1
−
1
125
=
124
125
© examsnet.com
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