Investigate chance processes and develop, use, and evaluate ... - Free Printable

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

Understanding the Spinner

The spinner is divided into 6 equal sections, with the following numbers:
- 1, 1, 2, 3, 4, 4

So the numbers on the spinner 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

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

✔ Answer: $ \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

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

✔ Answer: $ \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

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

✔ Answer: $ \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 identify odd and even numbers:

- Odd numbers: 1, 1, 3 → that’s 3 odd numbers
- Even numbers: 2, 4, 4 → that’s 3 even numbers

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

They are equal.

✔ 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 both have a probability of $ \frac{1}{2} $.

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✔ Final Answers:

1. $ \frac{1}{6} $
2. $ \frac{1}{3} $
3. $ \frac{1}{6} $
4. You are equally likely to spin an odd or even number because there are 3 odd numbers (1, 1, 3) and 3 even numbers (2, 4, 4), so both outcomes have a probability of $ \frac{1}{2} $.