If a die is rolled, what is the probability of rolling a number greater than 4?

To determine the probability of rolling a number greater than 4 on a standard six-sided die, we first identify the possible outcomes. The numbers on the die are 1, 2, 3, 4, 5, and 6.

The numbers that are greater than 4 in this case are 5 and 6. Therefore, there are 2 favorable outcomes (rolling a 5 or a 6). The total number of possible outcomes when rolling a die is 6 (since there are six sides).

The probability of an event is calculated by taking the number of favorable outcomes and dividing it by the total number of possible outcomes. In this scenario, the calculation would be:

[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{2}{6} = \frac{1}{3}. ]

Hence, the probability of rolling a number greater than 4 is correctly expressed as 1/3.