To determine the probability of rolling a number greater than 4 on a fair six-sided die, we first identify the outcomes of interest.
The numbers greater than 4 on a six-sided die (1, 2, 3, 4, 5, 6) are:
- 5
- 6
This means there are 2 favorable outcomes (5 and 6).
The total number of possible outcomes when throwing the die is 6 (the numbers 1, 2, 3, 4, 5, and 6).
The probability can be calculated with the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} \]
Now, we simplify \(\frac{2}{6}\):
\[ \frac{2}{6} = \frac{1}{3} \]
So the probability of rolling a number greater than 4 is:
\(\frac{1}{3}\)
None of the given answer choices match \(\frac{1}{3}\), which indicates an error in the provided options. The correct probability is \(\frac{1}{3}\).