A standard number cube (die) has 6 faces, numbered from 1 to 6. The odd numbers on a die are 1, 3, and 5.
There are 3 odd numbers out of a total of 6 possible outcomes.
So, the probability \( P(\text{odd}) \) is calculated as follows:
\[ P(\text{odd}) = \frac{\text{Number of odd outcomes}}{\text{Total outcomes}} = \frac{3}{6} = \frac{1}{2} \]
Therefore, the answer is \( \frac{1}{2} \).