1. **Problem Statement:** We want to find the probability of getting a sum of 6 when two dice are rolled. 2. **Formula:** Probability is given by the ratio of favorable outcomes to total possible outcomes: $$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ 3. **Total Outcomes:** Each die has 6 faces, so total outcomes when rolling two dice are: $$6 \times 6 = 36$$ 4. **Favorable Outcomes:** We list pairs of dice rolls that sum to 6: $$(1,5), (2,4), (3,3), (4,2), (5,1)$$ There are 5 such pairs. 5. **Calculate Probability:** $$\frac{5}{36}$$ 6. **Explanation:** There are 36 equally likely outcomes when rolling two dice. Only 5 of these outcomes result in a sum of 6, so the probability is $\frac{5}{36}$, which is approximately 0.1389 or 13.89%.