Here is the step-by-step solution for each spinner on the worksheet. We’ll solve all four sections one by one.
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## 🔹
First Spinner (Top Section) — Black, White, Gray Pieces
1. How many pieces are there total in the spinner?
- The spinner is divided into
8 equal triangular pieces.
✔ Answer: 8
2. Probability it lands on a white piece:
- Count white pieces: There are
3 white pieces.
- Probability = (Number of favorable outcomes) / (Total outcomes) = 3/8
✔ Answer: 3/8
3. Probability it lands on a black piece:
- Count black pieces: There are
2 black pieces.
- Probability = 2/8 =
1/4 (simplified)
✔ Answer: 1/4 or 2/8
---
## 🔹
Second Spinner — Blue and White Pieces
1. How many pieces are there total in the spinner?
- The spinner is divided into
8 equal pieces.
✔ Answer: 8
2. Probability it lands on a blue piece:
- Count blue pieces: There are
4 blue pieces.
- Probability = 4/8 =
1/2
✔ Answer: 1/2
3. Probability it lands on a white piece:
- Count white pieces: There are
4 white pieces.
- Probability = 4/8 =
1/2
✔ Answer: 1/2
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## 🔹
Third Spinner — Green, Purple, and White Pieces
1. How many pieces are there total in the spinner?
- The spinner is divided into
10 equal pieces.
✔ Answer: 10
2. Probability it lands on a green piece:
- Count green pieces: There are
6 green pieces.
- Probability = 6/10 =
3/5 (simplified)
✔ Answer: 3/5 or 6/10
3. Probability it lands on a purple piece:
- Count purple pieces: There are
2 purple pieces.
- Probability = 2/10 =
1/5
✔ Answer: 1/5
*(Note: There are also 2 white pieces, but the question only asks about green and purple.)*
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## 🔹
Fourth Spinner — Blue and White Pieces
1. How many pieces are there total in the spinner?
- The spinner is divided into
10 equal pieces.
✔ Answer: 10
2. Probability it lands on a blue piece:
- Count blue pieces: There are
8 blue pieces.
- Probability = 8/10 =
4/5
✔ Answer: 4/5
3. Probability it lands on a white piece:
- Count white pieces: There are
2 white pieces.
- Probability = 2/10 =
1/5
✔ Answer: 1/5
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##
✔ Final Answers Summary:
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Spinner 1 (Black/White/Gray):
1. 8
2. 3/8
3. 1/4
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Spinner 2 (Blue/White):
1. 8
2. 1/2
3. 1/2
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Spinner 3 (Green/Purple/White):
1. 10
2. 3/5
3. 1/5
---
Spinner 4 (Blue/White):
1. 10
2. 4/5
3. 1/5
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📌
Key Concept Reminder:
>
Probability = (Number of desired outcomes) ÷ (Total number of possible outcomes)
Always simplify fractions if possible!
Let me know if you’d like this turned into a printable answer sheet! 📄
Parent Tip: Review the logic above to help your child master the concept of worksheet on probability.
