A standard six-sided die has the numbers 1 through 6. To find the probability of rolling a number greater than 3, we first identify the numbers that meet this criterion: they are 4, 5, and 6.
There are 3 outcomes (4, 5, 6) that are greater than 3. The total number of possible outcomes when rolling a six-sided die is 6.
The probability (P) can be calculated using the formula:
\[ P(\text{number greater than 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{3}{6} = \frac{1}{2} \]
Thus, the probability of rolling a number greater than 3 is \(\frac{1}{2}\) or 50%.