A prime number less than 70 is randomly picked, what is probability that one of its digit will be 6?

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17 Oct 2018 Probability

A prime number less than 70 is randomly picked, what is probability that one of its digit will be 6?

OPtion

1) 0
2) 1/18
3) 1/17
4) 1/16
5) 1/9
6) 2/17
7) 3/17
8) 2/19
9) 3/19
10) None of these

Solution

Total number of prime numbers less than 70 = 19 => 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67
Number of positive outcomes i.e. number where at least one of its digit is 6 = 2

Probability = 2/19

Correct Option: 8 Best Solution (3)