Students practice calculating probability by analyzing the sections of two different spinners.

Let's solve each question step by step based on the two spinners shown in the image.

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Spinner 1: Numbered Spinner (with numbers 1, 2, 3, 4)

This spinner is divided into four equal sections, labeled:
- 1
- 2
- 3
- 4

Each section has an equal chance of being landed on, so the probability of landing on any one number is:

$$
\frac{1}{4}
$$

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#### Question 1: What is the probability of the spinner landing on a 3?

There is one section with a 3 out of four total sections.

$$
P(3) = \frac{1}{4}
$$

✔ Answer: $ \frac{1}{4} $

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#### Question 2: What is the probability of the spinner landing on a 1?

Same logic — one section with a 1.

$$
P(1) = \frac{1}{4}
$$

✔ Answer: $ \frac{1}{4} $

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#### Question 3: What is the probability of the spinner landing on a 2?

One section with a 2.

$$
P(2) = \frac{1}{4}
$$

✔ Answer: $ \frac{1}{4} $

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#### Question 4: Are you more likely to spin an odd number or an even number? Explain.

Odd numbers on the spinner: 1, 3 → 2 outcomes
Even numbers: 2, 4 → 2 outcomes

So:
- Probability of odd: $ \frac{2}{4} = \frac{1}{2} $
- Probability of even: $ \frac{2}{4} = \frac{1}{2} $

They are equally likely.

✔ Answer: You are equally likely to spin an odd or even number because there are two odd numbers and two even numbers.

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Spinner 2: Color Spinner (with colors: red, blue, orange, red)

This spinner has four sections, but two of them are red.

The sections are:
- Red
- Blue
- Orange
- Red

So, total sections = 4
Red appears twice, blue once, orange once.

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#### Question 5: What is the probability of the spinner landing on red?

Number of red sections = 2
Total sections = 4

$$
P(\text{red}) = \frac{2}{4} = \frac{1}{2}
$$

✔ Answer: $ \frac{1}{2} $

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#### Question 6: What is the probability of the spinner landing on blue?

Only one blue section.

$$
P(\text{blue}) = \frac{1}{4}
$$

✔ Answer: $ \frac{1}{4} $

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#### Question 7: What is the probability of the spinner landing on orange?

Only one orange section.

$$
P(\text{orange}) = \frac{1}{4}
$$

✔ Answer: $ \frac{1}{4} $

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#### Question 8: Mike said, "You have a fifty-fifty chance of spinning red." Explain what he means.

A "fifty-fifty chance" means a 50% probability, or $ \frac{1}{2} $. Since there are two red sections out of four, the probability is:

$$
\frac{2}{4} = \frac{1}{2}
$$

So, Mike means that you are just as likely to land on red as not to land on red — it's an equal chance.

✔ Answer: Mike means that the chance of landing on red is 50%, because half of the spinner is red (2 out of 4 sections). So, you're equally likely to land on red or not land on red.

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✔ Final Answers Summary:

1. $ \frac{1}{4} $
2. $ \frac{1}{4} $
3. $ \frac{1}{4} $
4. Equally likely; there are two odd and two even numbers.
5. $ \frac{1}{2} $
6. $ \frac{1}{4} $
7. $ \frac{1}{4} $
8. Mike means there's a 50% chance of landing on red because two out of the four sections are red.

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