A die is rolled once. Find the probabilities of the given events. Leave your answer as a reduced fraction. The number shown is greater than 5.

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.

Explore how to calculate the probability of rolling a number greater than 5 on a standard 6-sided die. This problem demonstrates core concepts of probability with a step-by-step solution and includes related questions for deeper learning. Perfect for students in Grades 6-8.

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