An experiment consists of selecting a letter at random from the letters in the word  IRRESISTIBLE  and observing the outcomes.  What is the appropriate sample space for this experiment?
 { I, R, S, T }


 { B, E, I, R, S, T }


 { B, E, I, L, R, S, T }


 { I, R, E, T }


 { B, E, L, S, T }


 None of the above.

The word **IRRESISTIBLE** consists of the following letters:

- I, R, E, S, T, I, S, T, I, B, L, E

We need to find the correct sample space, which includes all distinct outcomes (letters) that could be selected from this word. Since the sample space should only list unique outcomes (distinct letters), let's list the distinct letters:

- I, R, E, S, T, B, L

So, the appropriate sample space is:

**{ I, R, E, S, T, B, L }**

None of the options provided match this sample space exactly, so the correct answer is:

**None of the above**.

Would you like more details or have any questions?

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Here are 5 relative questions to expand on this concept:

1. What is the probability of selecting the letter 'I' from the word "IRRESISTIBLE"?
2. How does repetition of letters affect the sample space in probability experiments?
3. Can you explain how to calculate the probability of selecting a vowel from the word?
4. What is the difference between a sample space and an event in probability?
5. How would you determine the probability of selecting a consonant from this sample space?

**Tip**: Always list distinct elements in the sample space, even if they appear more than once in the original set.

An experiment consists of selecting a letter at random from the letters in the word IRRESISTIBLE and observing the outcomes. What is the appropriate sample space for this experiment? { I, R, S, T } { B, E, I, R, S, T } { B, E, I, L, R, S, T } { I, R, E, T } { B, E, L, S, T } None of the above.

Learn how to determine the sample space when selecting a letter at random from the word 'IRRESISTIBLE.' This problem explores probability concepts by focusing on distinct outcomes in the sample space. Suitable for students in Grades 5-7.

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