The probability of any outcome on a single roll of a fair six-sided die is calculated as follows:

1. A fair die has 6 faces, numbered from 1 to 6.
2. Each face has an equal probability of appearing.
3. The total number of possible outcomes is 6.

The probability of rolling any specific number (e.g., a 1, 2, 3, etc.) is:

$P(\text{specific number}) = \frac{1}{6}$

So, the probability of rolling any particular number, say a 3, is $\frac{1}{6}$.

Key Details:

• If you're looking for the probability of rolling an even number (2, 4, or 6), it would be $\frac{3}{6} = \frac{1}{2}$.
• For rolling a number greater than 4 (either 5 or 6), it would be $\frac{2}{6} = \frac{1}{3}$.

Do you have any specific conditions or events in mind for the dice roll?

Related Questions:

1. What is the probability of rolling an even number on a die?
2. What is the probability of rolling a number greater than 4?
3. What is the probability of rolling a prime number on a six-sided die?
4. If two dice are rolled, what is the probability of their sum being 7?
5. How would the probability change if the die was weighted?

Tip:

When calculating probabilities, always make sure to count the total number of possible outcomes correctly!