Final answer:
The theoretical probability of rolling a prime number on a standard number cube is 3/6 or 1/2.
Step-by-step explanation:
The theoretical probability of rolling a prime number on a standard number cube can be determined by calculating the number of favorable outcomes (rolling a prime number) divided by the total number of possible outcomes.
A standard number cube has 6 faces labeled with numbers 1 to 6. Out of these numbers, there are 3 prime numbers: 2, 3, and 5.
Therefore, the theoretical probability of rolling a prime number is 3/6 or 1/2.
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