Probability Worksheets - Free Printable

Let’s solve each question step by step.

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Spinner 1 (top spinner):
It has 6 equal sections:
- Two sections labeled “4”
- Two sections labeled “1”
- One section labeled “3”
- One section labeled “2”

Total sections = 6

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Question 1: What is the probability of the spinner landing on a 3?
Only one section has a “3”.
So, probability = 1 out of 6 → 1/6

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Question 2: What is the probability of the spinner landing on a 1?
There are two sections with “1”.
So, probability = 2 out of 6 → simplify to 1/3

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Question 3: What is the probability of the spinner landing on a 2?
Only one section has a “2”.
So, probability = 1 out of 6 → 1/6

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

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

Wait — let’s count again:

Sections:
→ 4 (even)
→ 1 (odd)
→ 1 (odd)
→ 4 (even)
→ 3 (odd)
→ 2 (even)

So:
Odd: 1, 1, 3 → 3 sections
Even: 4, 4, 2 → 3 sections

They are equal! So you are equally likely to spin odd or even.

But wait — the question says “Are you more likely...” — so answer is:
No, you are not more likely to spin either — they are equally likely.

Explanation: There are 3 odd-numbered sections and 3 even-numbered sections, so both have the same chance.

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Spinner 2 (bottom spinner):
Divided into 4 equal parts:
- red
- blue
- orange
- red

So:
Red appears twice
Blue appears once
Orange appears once

Total sections = 4

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Question 5: What is the probability of the spinner landing on red?
Red is in 2 sections → 2 out of 4 → simplify to 1/2

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Question 6: What is the probability of the spinner landing on orange?
Orange is in 1 section → 1 out of 4 → 1/4

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

Primary colors (in art): red, blue, yellow
In this spinner: we have red and blue → both are primary
Yellow is not present.

So:
Red (2 sections) + Blue (1 section) = 3 sections
Total sections = 4

Probability = 3 out of 4 → 3/4

*(Note: In some contexts like light, primary colors are different — but for elementary school, it’s usually red, blue, yellow. Since yellow isn’t here, we go with what’s available.)*

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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 — which is the same as 1/2.

From Question 5, we found that probability of red is 2/4 = 1/2 → which is exactly 50%.

So Mike is correct. He means that half the time, if you spin many times, you’d expect to land on red about half the spins.

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Final Answer:

1. 1/6
2. 1/3
3. 1/6
4. No, you are equally likely to spin an odd or even number because there are 3 odd-numbered sections and 3 even-numbered sections.
5. 1/2
6. 1/4
7. 3/4
8. Mike means that the chance of landing on red is 50%, or 1 out of 2, since red covers half of the spinner (2 out of 4 sections).