1. **Problem statement:** Two dice are rolled simultaneously. We want to find the probability of rolling one 1 and one 6. 2. **Formula and rules:** The total number of outcomes when rolling two dice is $6 \times 6 = 36$ because each die has 6 faces. 3. **Calculate favorable outcomes:** The event "one 1 and one 6" can happen in two ways: - Die 1 shows 1 and Die 2 shows 6 - Die 1 shows 6 and Die 2 shows 1 4. **Number of favorable outcomes:** There are 2 favorable outcomes. 5. **Calculate probability:** $$ P(\text{one 1 and one 6}) = \frac{\text{number of favorable outcomes}}{\text{total outcomes}} = \frac{2}{36} $$ 6. **Simplify the fraction:** $$ \frac{2}{36} = \frac{\cancel{2}}{\cancel{36}} = \frac{1}{18} $$ 7. **Convert to percentage:** $$ \frac{1}{18} \approx 0.0556 = 5.56\% $$ **Final answer:** The probability of rolling one 1 and one 6 is approximately 5.56%.