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, it's essential to understand the total number of possible outcomes when rolling the two dice as well as how many of those outcomes produce a sum of 7.

When rolling two dice, each die has 6 faces, leading to a total of 6 x 6 = 36 possible outcomes. Next, we identify the combinations of the two dice that result in a sum of 7:

• Rolling a 1 on the first die and a 6 on the second die (1 + 6)

• Rolling a 2 on the first die and a 5 on the second die (2 + 5)

• Rolling a 3 on the first die and a 4 on the second die (3 + 4)

• Rolling a 4 on the first die and a 3 on the second die (4 + 3)

• Rolling a 5 on the first die and a 2 on the second die (5 + 2)

• Rolling a 6 on the first die and a 1 on the second die (6 + 1)

There are six successful outcomes that yield a sum of 7. Therefore, the probability is