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?

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.