The problem asks for the probability of rolling a number greater than 5 on a single fair die. A standard die has six faces with numbers 1 through 6.

The numbers greater than 5 on a die are only 6. Therefore, there is 1 favorable outcome (rolling a 6) out of 6 possible outcomes (rolling any number from 1 to 6).

So, the probability is: $\frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} = \frac{1}{6}$

Thus, the probability of rolling a number greater than 5 is $\frac{1}{6}$.

Do you want more details or have any questions?

Here are five related questions for you to think about:

1. What is the probability of rolling a number less than 4?
2. What is the probability of rolling an even number on a fair die?
3. How would the probability change if the die had 8 sides instead of 6?
4. What is the probability of rolling an odd number greater than 3?
5. What is the expected value of a roll on a fair six-sided die?

Tip: When calculating probabilities for dice, always think about the total possible outcomes and the specific outcomes that meet the criteria.