A standard number cube (or die) has 6 sides, numbered 1 through 6. We want to find the probability of rolling a number greater than 2.
The numbers that are greater than 2 on a standard die are 3, 4, 5, and 6.
So the favorable outcomes are: 3, 4, 5, 6 (which gives us 4 favorable outcomes).
The total number of possible outcomes when rolling the die is 6.
The probability \( P \) of an event is given by the formula:
\[ P = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} \]
Plugging in the values we have:
\[ P(\text{number greater than 2}) = \frac{4}{6} = \frac{2}{3} \]
Therefore, the answer is \( \frac{2}{3} \).
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