A die has 6 faces, numbered from 1 to 6. The event we are interested in is "the number shown is greater than 5."

The possible outcomes greater than 5 on a standard die are:

• 6

Thus, the favorable outcome is just one number: 6. The total number of possible outcomes is 6 (since there are 6 faces on a die).

The probability of the event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

$P(\text{number shown is greater than 5}) = \frac{1}{6}$

Would you like further details or have any questions?

Here are 5 related questions to expand on this concept:

1. What is the probability of rolling an even number on a die?
2. What is the probability of rolling a number less than 4?
3. What is the probability of rolling a prime number on a die?
4. What is the probability of rolling a number between 2 and 5 (inclusive)?
5. What is the probability of rolling an odd number on a die?

Tip: When calculating probabilities, always ensure to consider the total number of possible outcomes to determine the correct fraction.