The probability of rolling a specific number on a fair six-sided die is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, there is only one favorable outcome (rolling a 4) and there are six possible outcomes (1, 2, 3, 4, 5, and 6).
Thus, the probability is:
\[ \text{Probability of rolling a 4} = \frac{1}{6} \]
Therefore, the correct response is:
1 sixth