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Probability Worksheets - Free Printable

Probability Worksheets

Educational worksheet: Probability Worksheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Probability Worksheets
Let’s solve each question step by step.

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

Look at the first spinner. It has 6 equal sections:
Numbers are: 4, 1, 1, 2, 3, 4 → So total = 6 sections.

How many sections have the number 3? Only one.

Probability = (number of favorable outcomes) / (total possible outcomes)
= 1/6

Answer for #1: 1/6

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

How many sections have the number 1? Two sections (top right and bottom right).

Total sections = 6

Probability = 2/6 → simplify to 1/3

Answer for #2: 1/3

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

Only one section has the number 2.

Probability = 1/6

Answer for #3: 1/6

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

List all numbers on the spinner: 4, 1, 1, 2, 3, 4

Odd numbers: 1, 1, 3 → that’s 3 sections
Even numbers: 4, 2, 4 → that’s 3 sections

So both odd and even have 3 out of 6 chances → same likelihood!

But wait — let’s double-check:

- Odd: 1, 1, 3 → yes, 3 sections
- Even: 4, 2, 4 → yes, 3 sections

So it’s equally likely.

But the question says “Are you more likely...” — so answer is no, they are equally likely.

Explanation: There are 3 odd numbers and 3 even numbers on the spinner, so you have the same chance of spinning either.

Answer for #4: You are equally likely to spin an odd or even number because there are 3 odd and 3 even sections.

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Now move to the second spinner (color spinner):

Sections: red, blue, orange, red → Wait, look again.

Actually, the spinner is divided into 4 equal parts:

Top left: red
Top right: blue
Bottom left: orange
Bottom right: red

So: red appears twice, blue once, orange once → total 4 sections.

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

Red appears in 2 sections.

Total sections = 4

Probability = 2/4 = 1/2

Answer for #5: 1/2

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

Orange appears in 1 section.

Probability = 1/4

Answer for #6: 1/4

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Question 7: What is the probability of the spinner landing on a primary color?

Primary colors are: red, blue, yellow.

In this spinner, we have: red, blue, orange.

Orange is NOT a primary color (it’s made from red + yellow).

So primary colors here: red and blue.

Red: 2 sections
Blue: 1 section
→ Total primary color sections = 3

Total sections = 4

Probability = 3/4

Answer for #7: 3/4

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

“Fifty-fifty” means 50% chance, or 1 out of 2.

We already calculated: probability of red is 2/4 = 1/2 → which is 50%.

So Mike means: half the time you spin, you’ll get red — because 2 out of 4 sections are red.

Answer for #8: He means there’s a 50% chance (or 1 out of 2) of landing on red, since half the spinner is red.

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Final Answers:

1. 1/6
2. 1/3
3. 1/6
4. You are equally likely to spin an odd or even number because there are 3 odd and 3 even sections.
5. 1/2
6. 1/4
7. 3/4
8. He means there’s a 50% chance (or 1 out of 2) of landing on red, since half the spinner is red.
Parent Tip: Review the logic above to help your child master the concept of pre algebra probability worksheet.
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