Mathematics ACT Aspire Practice Test 2026 – Complete Study Resource

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

Next, we focus on the favorable outcomes for this specific event, which includes the numbers 5 and 6, as both are greater than 4. Therefore, there are 2 favorable outcomes.

The probability is calculated by taking the number of favorable outcomes and dividing it by the total number of possible outcomes. In this case, there are 6 total outcomes (the numbers 1 through 6), so the calculation becomes:

Number of favorable outcomes (5, 6) = 2

Total outcomes (1 through 6) = 6

Thus, the probability of rolling a number greater than 4 is:

\[

\frac{2}{6} = \frac{1}{3}

\]

This means that the answer is derived accurately by assessing both the favorable outcomes and the total number of outcomes.