Question

Two six sided dice are rolled. What is the probability that the sum is a prime number?

Answer 1

Probability of getting sum as a prime number is `5/12`

Explanation:

Total number of possible outcome is `T=6*6=36`

Prime numbers are `2,3,5,7 and 11`

Favorable outcome is

`F= 15(11 , 12,14,16,21, 23,25,32,34,41,43,52,56,61,65)`

Probability of getting sum as a prime number is

`P(S_p)= F/T=15/36=5/12` [Ans]