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

To find the probability of rolling a sum of 7 with two six-sided dice, it is important to first determine how many possible outcomes yield that sum. Each die has 6 faces, which results in a total of 36 possible outcomes when rolling two dice (since 6 × 6 = 36).

Next, we identify the specific combinations of the two dice that add up to 7. The combinations are:

1. (1, 6)

2. (2, 5)

3. (3, 4)

4. (4, 3)

5. (5, 2)

6. (6, 1)

There are 6 successful outcomes that produce a sum of 7. To calculate the probability, we divide the number of successful outcomes (which is 6) by the total number of possible outcomes (which is 36):

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

Thus, the correct answer reflects that there is a 1 in 6 chance of rolling a sum of 7 on two six-sided dice.