What is the probability that the picked number is such a prime number whose sum of digits is an odd number?

Question

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?

Answer 1

1/8

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11, 13, 17, 19, 23, 29, 31, 37 ,41, 43, 47
Total numbers = 40
Total primes = 11
Primes with odd sum of digits= 5 (23,29,41,43,47)
Probability = 5/40 = 1/8