What is the probability of rolling a number greater than 4 on a six-sided die?

To determine the probability of rolling a number greater than 4 on a six-sided die, consider the total number of possible outcomes and the number of favorable outcomes. A standard six-sided die has the numbers 1 through 6, which gives us a total of six possible outcomes.

The numbers greater than 4 on the die are 5 and 6. These two outcomes are our favorable outcomes. Therefore, the number of favorable outcomes is 2.

To find the probability, you divide the number of favorable outcomes by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes) = 2 / 6.

This simplifies to 1/3, which indicates that the correct probability of rolling a number greater than 4 is indeed 1/3.