A prime number less than 60 is randomly picked, what is probability that one of its digit will be 2?

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05 Jun 2018 Probability

A prime number less than 60 is randomly picked, what is probability that one of its digit will be 2?

OPtion

1) 1/5
2) 3/16
3) 2/17
4) 3/17
5) 1/8
6) 1/7
7) 3/18
8) 2/13
9) 1/17
10) None of these

Solution

Total number of prime numbers less than 60 = 17 => 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59
Number of positive outcomes i.e. number where at least one of its digit is 2 = 3

Probability = 3/17

Correct Option: 4 Best Solution (4)