Probability Worksheets - Free Printable

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

---

Spinner 1: Numbered Spinner (Divided into 4 equal sections: 1, 2, 3, 4)

This spinner has four equal sections labeled: 1, 2, 3, 4.

Each section is equally likely to be landed on, so the probability of landing on any one number is:

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

---

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

- There is one section with a 3.
- Total sections = 4

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

✔ Answer: $ \frac{1}{4} $

---

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

- One section with a 1.

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

✔ Answer: $ \frac{1}{4} $

---

#### 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} $

---

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

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

So:
- $ P(\text{odd}) = \frac{2}{4} = \frac{1}{2} $
- $ P(\text{even}) = \frac{2}{4} = \frac{1}{2} $

They are equally likely.

✔ Answer: You are not more likely to spin an odd or even number — they are equally likely because there are two odd and two even numbers.

---

Spinner 2: Color Spinner (Divided into 3 unequal sections: red, blue, orange)

Looking at the spinner:
- The sections are not equal in size.
- The red section appears to take up half the circle (180°).
- The blue and orange sections appear to be equal, each taking up a quarter (90°).

So:
- Red: 1/2
- Blue: 1/4
- Orange: 1/4

---

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

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

✔ Answer: $ \frac{1}{2} $

---

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

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

✔ Answer: $ \frac{1}{4} $

---

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

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

✔ Answer: $ \frac{1}{4} $

---

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

- A "fifty-fifty chance" means a 50% chance, or $ \frac{1}{2} $.
- Since the red section is half the spinner, the probability of landing on red is $ \frac{1}{2} $.
- So Mike means that there is an equal chance of landing on red as not landing on red.

✔ Answer: Mike means that the chance of landing on red is 50%, which matches the size of the red section being half of the spinner.

---

✔ Final Answers Summary:

1. $ \frac{1}{4} $
2. $ \frac{1}{4} $
3. $ \frac{1}{4} $
4. No, odd and even numbers are equally likely (both have probability $ \frac{1}{2} $).
5. $ \frac{1}{2} $
6. $ \frac{1}{4} $
7. $ \frac{1}{4} $
8. Mike means there is a 50% chance of landing on red because the red section is half the spinner.

---

Let me know if you'd like this formatted for printing or need visuals!