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 understand the total number of possible outcomes when rolling the two dice.

Each die has 6 faces, so when two dice are rolled, the total number of possible outcomes is calculated by multiplying the outcomes of each die: 6 (for the first die) multiplied by 6 (for the second die) gives us 36 possible combinations.

Next, we identify the specific combinations that result in a sum of 7. The pairs that yield a sum of 7 are:

• (1, 6)

• (2, 5)

• (3, 4)

• (4, 3)

• (5, 2)

• (6, 1)

There are a total of 6 combinations that result in a sum of 7.

To find the probability, we take the number of favorable outcomes (the combinations that sum to 7) and divide it by the total number of outcomes. Therefore, the probability is calculated as follows:

Probability of a sum of 7 = Number of favorable outcomes / Total outcomes = 6 / 36 = 1 / 6.

This calculation confirms that the correct probability