Probability worksheet with a spinner and questions about odds and chances.

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

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Understanding the Spinner (Top Spinner)

The top spinner is divided into 6 equal sections, with the following numbers:

- 4, 1, 1, 2, 3, 4

So the numbers are:
1, 1, 2, 3, 4, 4

Total number of sections = 6

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

- There is one section labeled 3.
- Total sections = 6

$$
P(3) = \frac{1}{6}
$$

✔ Answer: $ \boxed{\frac{1}{6}} $

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

- There are two sections labeled 1.
- Total sections = 6

$$
P(1) = \frac{2}{6} = \frac{1}{3}
$$

✔ Answer: $ \boxed{\frac{1}{3}} $

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

- There is one section labeled 2.
- Total sections = 6

$$
P(2) = \frac{1}{6}
$$

✔ Answer: $ \boxed{\frac{1}{6}} $

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

Let’s list the numbers and classify them:

- Numbers: 1, 1, 2, 3, 4, 4
- Odd numbers: 1, 1, 3 → 3 odd numbers
- Even numbers: 2, 4, 4 → 3 even numbers

So:
- Probability of odd = $ \frac{3}{6} = \frac{1}{2} $
- Probability of even = $ \frac{3}{6} = \frac{1}{2} $

They are equally likely.

✔ Answer:
You are equally likely to spin an odd number or an even number because there are 3 odd numbers and 3 even numbers, so each has a probability of $ \frac{1}{2} $.

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

Now we look at the bottom spinner — it's split into two equal parts: red and blue.

Assuming the spinner is divided into two equal halves, then:

- Red occupies half the circle.
- So, probability of landing on red = $ \frac{1}{2} $

✔ Answer: $ \boxed{\frac{1}{2}} $

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✔ Final Answers:

1. $ \frac{1}{6} $
2. $ \frac{1}{3} $
3. $ \frac{1}{6} $
4. Equally likely; both odd and even numbers appear 3 times, so probability is $ \frac{1}{2} $ for each.
5. $ \frac{1}{2} $

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