https://file.aiquickdraw.com/mathbot/file/17300754230668sd5693v.jpg

The spinner in the image is divided into 8 equal sections, labeled with the numbers 1, 2, 3, and 4. Let's analyze the distribution of these numbers:

- **Number 1** appears twice.
- **Number 2** appears once.
- **Number 3** appears twice.
- **Number 4** appears twice.

### Analysis of Each Statement
1. **You are equally likely to spin a 3 as spin a 4.**
   - **True**: Both 3 and 4 each have 2 sections, so the probability of spinning a 3 or a 4 is the same.

2. **You are 3 times more likely to spin a 3 than a 1.**
   - **False**: Both 3 and 1 have the same number of sections (2 each), so they have equal probability.

3. **The sample space of the spinner is {1, 1, 1, 2, 3, 3, 4, 4}.**
   - **False**: The correct sample space is {1, 1, 2, 3, 3, 4, 4}.

4. **You are more likely to spin a 2 than a 3.**
   - **False**: There is only 1 section for 2, while there are 2 sections for 3, making 3 more likely than 2.

5. **You are equally likely to spin an even or odd number.**
   - **True**: There are 4 sections with even numbers (two 4's and one 2) and 4 sections with odd numbers (two 1's and two 3's), so they are equally likely.

6. **Spinning a 1 is more likely than spinning any other number.**
   - **False**: Both 1, 3, and 4 appear twice, so they all have the same probability.

### Correct Answers
The three statements that are true about the spinner are:
- You are equally likely to spin a 3 as spin a 4.
- You are equally likely to spin an even or odd number.

Would you like more details or have further questions?

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Here are 5 related questions that may enhance your understanding:
1. How do we calculate probabilities based on the number of sections?
2. What would happen if we added one more section with a new number?
3. How can we determine the sample space in different probability setups?
4. What is the probability of landing on a specific number if the sections are not congruent?
5. How do even and odd probabilities change with different numbers?

**Tip:** Always count the frequency of each outcome to determine probabilities accurately.

Select three statements that are true about the spinner divided into 8 congruent sections labeled with numbers 1, 2, 3, and 4.

Explore probability concepts with a spinner divided into 8 equal sections. Identify true statements about the likelihood of landing on specific numbers. This problem covers sample space and probability calculations, suitable for students in Grades 5-7.

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