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The image you've uploaded is related to an experiment involving the rolling of a number cube (a die) labeled with numbers 1 to 6. The task is to determine the sample space and the event for rolling a number 3.

**Sample Space:**
The sample space consists of all possible outcomes when rolling the die. Since the die has faces labeled 1 through 6, the sample space is:
\[
\{1, 2, 3, 4, 5, 6\}
\]

**Event of Rolling the Number 3:**
The event where the number 3 is rolled consists of just one outcome, which is the number 3 itself. Therefore, the event is:
\[
\{3\}
\]

Would you like further clarification or details on this? Here are some related questions you might find helpful:

1. What is the definition of a sample space in probability theory?
2. How do you represent events within a sample space?
3. What are the types of events (e.g., simple, compound) in probability?
4. How does the concept of a sample space apply to real-life scenarios?
5. What is the difference between an event and a sample space?

Tip: Always check that the sample space includes all possible outcomes, and the event must be a subset of this sample space.

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 3. If there is more than one element in the set, separate them with commas.

Learn how to determine the sample space and the event of rolling a number 3 on a six-sided die. This problem is a basic example in probability, suitable for students in Grades 6-8, and covers the fundamental concepts of sample space and events.

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