Probability Worksheets - Free Printable
Educational worksheet: Probability Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Probability Worksheets
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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.
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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.