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.