A number cube with faces labeled from 1 to 6 will be rolled once.
The number rolled will be recorded as the outcome.

Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of rolling the number 2 or 5 .
If there is more than one element in the set, separate them with commas. Find Sample Faces, and Find event of rolling the number 2 or 5 

### Sample Space

The sample space for rolling a number cube (a standard six-sided die) includes all the possible outcomes that can result from a single roll. The cube has faces labeled from 1 to 6.

The possible outcomes are:

\[
\text{Sample Space} = \{ 1, 2, 3, 4, 5, 6 \}
\]

### Event: Rolling the number 2 or 5

The event where the number rolled is either 2 or 5 includes the specific outcomes where the result of the roll is 2 or 5.

The possible outcomes for this event are:

\[
\text{Event} = \{ 2, 5 \}
\]

Would you like more details or have any questions about this solution?

Here are 8 related questions for further practice:
1. What is the probability of rolling an even number?
2. If the cube is rolled twice, what is the sample space for the two rolls?
3. How many outcomes are there for rolling a number greater than 4?
4. What is the probability of rolling a 3?
5. How does the sample space change if the number cube has faces labeled 1 to 8?
6. What is the probability of rolling a number less than 3?
7. If two number cubes are rolled, what is the sample space for the sum of the two numbers?
8. What is the probability of rolling a number other than 2 or 5?

**Tip:** In probability, understanding the event space and how it relates to the sample space is key to calculating the likelihood of different outcomes.

Explore the concept of probability by understanding the outcomes when rolling a standard number cube with faces labeled from 1 to 6. Learn about sample spaces and events, specifically focusing on rolling the number 2 or 5. Suitable for Grades 6-8.

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