Probability of Rolling a Prime Number with Two Dice

Consider a game that involves rolling two six-sided dice. The players win if the total sum of the numbers on the top faces of the dice equals a prime number. Find the probability that the players win when they roll the two dice.

First, determine the possible outcomes for rolling two dice. Then, identify the prime numbers that can be achieved with the sums from these outcomes. The prime numbers in this case would include: 2, 3, 5, 7, 11, and 13.

Calculate the probability as the ratio of favorable outcomes (sums that yield prime numbers) to the total possible outcomes (all combinations from rolling two dice).