Step 1: Identifying the prime numbers.
The prime numbers on a standard die are 2, 3, and 5. The odd prime numbers are 3 and 5.
Step 2: Counting the favorable outcomes.
There are 2 favorable outcomes: 3 and 5.
Step 3: Total outcomes.
Since a die has 6 faces, the total number of possible outcomes is 6.
Step 4: Calculating the probability.
Thus, the probability of getting an odd prime number is: \[ P(\text{odd prime}) = \frac{2}{6} = \frac{1}{3} \] Step 5: Conclusion.
Therefore, the probability of getting an odd prime number is \( \frac{1}{3} \).