A 2 digit number between 11 to 50 (both inclusive) is randomly picked. What is the probability that

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03 Sep 2018 Probability

A 2 digit number between 11 to 50 (both inclusive) is randomly picked.
What is the probability that the picked number is such a prime number whose sum of digits is an odd number?

OPtion

1) 3/40
2) 9/40
3) 11/40
4) 1/8
5) 6/40
6) 1/5
7) 7/40
8) 5/39
9) 2/13
10) None of these

Solution

Total numbers between 11 to 50 = 40
List of prime numbers between 11 to 50= 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

List of prime numbers between where sum of digit is an odd number = 23, 29, 41, 43, 47

Count of Prime number where sum of digit is an odd number = 5

Required probability = 5/40 = 1/8

Correct Option: 4 Best Solution (1)

G.S.Kantharao   5 years AGO

Two figured Primes whose sum of its digits is odd=23,29,41,43,47=(5)
Total out comes=40
Probability=5/40=1/8
My option is 4👈

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