1. Let's state a basic probability problem: What is the probability of rolling a 4 on a fair six-sided die? 2. The formula for probability is: $$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$$ 3. For a six-sided die, the total number of possible outcomes is 6 (faces numbered 1 through 6). 4. The favorable outcome here is rolling a 4, which is just 1 outcome. 5. Substitute these values into the formula: $$P(\text{rolling a 4}) = \frac{1}{6}$$ 6. So, the probability of rolling a 4 on a fair six-sided die is $\frac{1}{6}$, which is approximately 0.1667 or 16.67%.