If you roll a fair six-sided die, what is the probability of rolling a 4?

To determine the probability of rolling a 4 on a fair six-sided die, we need to consider the total number of possible outcomes and the number of favorable outcomes. A standard six-sided die has six faces, each representing a different number from 1 to 6. When rolling the die, there is one favorable outcome for rolling a 4, as only one face displays the number 4.

The probability of any single event occurring is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, there is 1 favorable outcome (rolling a 4) and a total of 6 possible outcomes (the numbers 1 through 6). Therefore, the probability is calculated as:

Probability = (Number of favorable outcomes) / (Total number of outcomes) = 1/6.

This outcome signifies that there is one chance in six to roll a 4, making the probability of rolling a 4 equal to 1/6.