To find the probability of rolling a sum of 7 with two six-sided dice, we follow these steps:

Step 1: Determine the total number of possible outcomes.

Each die has 6 sides, so the total number of outcomes when rolling two dice is: $6 \times 6 = 36$

Step 2: Determine the favorable outcomes for a sum of 7.

We list all the pairs of dice that sum to 7:

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

There are 6 favorable outcomes.

Step 3: Calculate the probability.

The probability is the number of favorable outcomes divided by the total number of possible outcomes: $\frac{6}{36} = \frac{1}{6}$

Thus, the probability of getting a sum of 7 is $\frac{1}{6}$.

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Related Questions:

1. What is the probability of rolling a sum of 8 with two dice?
2. How many possible outcomes give a sum greater than 9 with two dice?
3. What is the probability of rolling a sum of 5 with two dice?
4. How does the probability change if you use an eight-sided die instead of a six-sided one?
5. What is the probability of rolling doubles (e.g., (1,1), (2,2)) with two dice?

Tip: When rolling two dice, the most likely sum is 7 because it has the most combinations that lead to this result!