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Math worksheet titled "27—The Color Spinner" featuring a probability game with a spinner and questions about winning conditions.

A math worksheet titled "27—The Color Spinner" from the "Math Detective® Beginning" series, featuring a spinner divided into four colored sections (Blue, Purple, Green, Red) and a story about Rob, Patty, and Gerry playing a spinner game. The worksheet includes three questions about probability related to the spinner's outcomes.

A math worksheet titled "27—The Color Spinner" from the "Math Detective® Beginning" series, featuring a spinner divided into four colored sections (Blue, Purple, Green, Red) and a story about Rob, Patty, and Gerry playing a spinner game. The worksheet includes three questions about probability related to the spinner's outcomes.

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Problem Overview:



Rob, Patty, Betty, and Gerry are playing a spinner game. Each person has a favorite color:

- Betty → Blue
- Gerry → Green
- Rob → Red
- Patty → Purple

The spinner is divided into four sections: Blue, Green, Red, and Purple, but the sizes of the sections are not equal. The spinner is shown with:

- Blue: Largest section (takes up more than half the circle)
- Red: Second largest
- Green: Smaller
- Purple: Smallest

There’s a pointer pointing to the blue section.

When the spinner lands on someone’s favorite color, that person wins.

Patty says the game isn’t fair because it was raining and they were bored, so they played anyway.

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Question 1: How do you win at this game? Use complete sentences to explain your thinking.



Answer:
You win the game when the spinner lands on your favorite color. For example, if the spinner lands on blue, Betty wins because blue is her favorite color. Similarly, if it lands on green, Gerry wins; if it lands on red, Rob wins; and if it lands on purple, Patty wins.

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Question 2: What color is the pointer most likely to land on? Use complete sentences to explain your thinking.



Answer:
The pointer is most likely to land on blue because the blue section takes up the largest part of the spinner. Since the size of each section determines the probability of landing on it, and blue is the biggest section, it has the highest chance of being selected.

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Question 3: Who is most likely to win? ________



Answer:
Betty is most likely to win because her favorite color is blue, and blue is the largest section on the spinner. Since the spinner is more likely to land on blue, Betty has the best chance of winning.

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Bonus: Write the number of the sentence that gives the best evidence for your answer.



Answer:
Sentence 1: "Betty's favorite color is blue."
This tells us which color she is associated with.
But the best evidence comes from the visual — the spinner showing blue as the largest section.

However, since the question asks for the number of the sentence, and the sentences are listed in order:

1. Rob, Patty, Betty, and Gerry are playing a spinner game.
2. Betty's favorite color is blue.
3. Gerry's favorite color is green.
4. Rob's favorite color is red.
5. Patty's favorite color is purple.
6. Any time the spinner lands on someone's favorite color, that person wins.

So, the sentence that best supports the idea that Betty is most likely to win is:

👉 Sentence 2: "Betty's favorite color is blue."

And the fact that blue is the largest section is visual evidence, not a numbered sentence.

But since the question says “write the number of the sentence,” and we must pick one, the best supporting sentence is:

Sentence 2 – because it links Betty to the largest section (blue), and the visual shows blue is largest.

So the final answer is:

> 2

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Final Answers:



1. You win when the spinner lands on your favorite color. For example, if it lands on blue, Betty wins, and so on for the others.

2. The pointer is most likely to land on blue because it is the largest section of the spinner, making it the most probable outcome.

3. Betty is most likely to win.

The number of the sentence that gives the best evidence: 2

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Let me know if you'd like a diagram explanation or further breakdown!
Parent Tip: Review the logic above to help your child master the concept of free critical thinking worksheet.
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