What is the probability of rolling a sum of 7 with two six-sided dice?

To determine the probability of rolling a sum of 7 with two six-sided dice, we first need to consider how many possible outcomes there are when rolling the dice and how many of those outcomes yield a sum of 7.

When rolling two dice, each die has 6 faces, giving a total of 36 possible combinations (6 faces on the first die multiplied by 6 faces on the second die).

Next, we need to identify the combinations of the two dice that add up to 7. The pairs that result in a sum of 7 are:

1. (1, 6)
2. (2, 5)
3. (3, 4)
4. (4, 3)
5. (5, 2)
6. (6, 1)

There are 6 successful outcomes where the sum equals 7.

To find the probability, we take the number of successful outcomes (which is 6) and divide it by the total number of possible outcomes (which is 36):

Probability = Number of successful outcomes / Total outcomes = 6 / 36 = 1/6.

Thus, the probability of rolling a sum of 7 with two six-sided dice is correctly represented by