A man tossed two dice. What is the probability that the total score is a prime number?

Question: A man tossed two dice. What is the probability that the total score is a prime number?

Solution:
As per the question:
n (S) = 6 × 6 = 36

And, the event that the sum is a prime number:
E = {(1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5)}

So, n (E) = 15

∴ Probability = 15/36 = 5/12