If you roll two standard six-sided dice, what is the probability that the sum will be 6

To solve this problem, we need to understand that a standard six-sided die has the numbers 1 through 6. When rolling two dice, the smallest sum we can get is 2 (1 on the first die and 1 on the second die) and the largest sum is 12 (6 on the first die and 6 on the second die).

Step 1: Determine all possible outcomes When rolling two dice, there are 6*6 = 36 possible outcomes, because each die has 6 faces and the two dice are independent of each other.

Step 2: Determine favorable outcomes We want the sum to be 6. The pairs that give a sum of 6 are: (1,5), (2,4), (3,3), (4,2), (5,1). So, there are 5 favorable outcomes.

Step 3: Calculate the probability The probability is the ratio of the favorable outcomes to the possible outcomes. So, the probability that the sum of the numbers rolled on two dice is 6 is 5/36.