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The question asks for the sample space for a random experiment where a student is asked how many points she earned on a 76-point test. The sample space is the set of all possible outcomes for the random experiment. In this case, the possible outcomes are the points the student could have earned, which range from 0 (if she earned no points) to 76 (if she earned the maximum possible points).

The correct answer should include all whole numbers from 0 to 76, because it's possible to earn any number of points in that range. Therefore, the correct answer is **C. {0, 1, 2, ..., 76}**.

Would you like more details or have any questions? Here are five related questions that could expand on this topic:

1. What is the difference between sample space and event in probability?
2. How do you define an event in probability theory based on a sample space?
3. Can a sample space contain non-numeric outcomes, such as colors or names?
4. What are some examples of continuous sample spaces versus discrete ones?
5. How do you calculate the probability of specific outcomes in a sample space?

**Tip:** The sample space must always include all possible outcomes, so it's essential to consider the context carefully when defining it.

Write the sample space for the random experiment. A student is asked how many points she earned on a recent 76-point test. Which one is correct?

Determine the correct sample space for a random experiment where a student is asked how many points she earned on a 76-point test. This question involves concepts of probability and sample space for whole numbers between 0 and 76.

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