1. **Problem:** Find the probability of rolling a number greater than 4 on a fair six-sided die. 2. **Formula:** Probability of an event $E$ is given by $$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$$ 3. **Step 1:** Identify favorable outcomes. Numbers greater than 4 are 5 and 6. So, favorable outcomes = 2. 4. **Step 2:** Total possible outcomes when rolling a six-sided die = 6. 5. **Step 3:** Calculate probability. $$P(>4) = \frac{2}{6}$$ 6. **Step 4:** Simplify the fraction. $$P(>4) = \frac{\cancel{2}}{\cancel{6}} = \frac{1}{3}$$ 7. **Answer:** The probability of rolling a number greater than 4 is $\frac{1}{3}$.