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

To determine the probability of rolling a sum of 7 with two dice, we first need to understand the possible outcomes when rolling two six-sided dice. Each die has 6 faces, resulting in a total of 6 x 6 = 36 possible combinations when two dice are rolled.

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

• (1, 6)

• (2, 5)

• (3, 4)

• (4, 3)

• (5, 2)

• (6, 1)

There are 6 successful outcomes that give a total sum of 7.

Now, to find the probability of rolling a sum of 7, we take the number of successful outcomes (which is 6) and divide it by the total number of possible outcomes (which is 36). This gives us a probability of:

[

\text{Probability of rolling a sum of 7} = \frac{6}{36} = \frac{1}{6}

]

Thus, the calculation shows that the probability of rolling a sum of 7 with two dice is indeed