What is the probability of a dice cast once

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!

What is the probability of a dice cast once?

Explore the probability of rolling a fair six-sided die and learn how to calculate the likelihood of specific outcomes. This problem covers core concepts in probability, including the probability of rolling a specific number, an even number, or a number greater than 4. Suitable for students in Grades 6-8.

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