Probability worksheet featuring two spinners with questions on calculating probabilities of landing on specific numbers or letters.
A worksheet titled "Probability Using a Spinner" with two spinners and questions about probability, including numerical and lettered sections.
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Show Answer Key & Explanations
Step-by-step solution for: Probability Worksheets | Dynamically Created Probability Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Probability Worksheets | Dynamically Created Probability Worksheets
Of course! Let's solve the probability problems based on the two spinners shown in the image.
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## 🔢 Spinner 1 (Numbers: 1, 2, 3, 4)
This spinner is divided into 8 equal sections. Let’s count how many times each number appears:
- 1 appears → 1 time
- 2 appears → 2 times
- 3 appears → 2 times
- 4 appears → 3 times
✔ Total sections = 8
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1) What is the probability of the spinner landing on 1 or 3?
- Number of favorable outcomes: 1 (for 1) + 2 (for 3) = 3
- Total outcomes = 8
- Probability = 3/8
✔ Answer: 3/8
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2) What is the probability of the spinner not landing on 3?
- Number of 3s = 2
- So, not landing on 3 = 8 - 2 = 6
- Probability = 6/8 = 3/4
✔ Answer: 3/4
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3) What is the probability of the spinner not landing on 2?
- Number of 2s = 2
- Not landing on 2 = 8 - 2 = 6
- Probability = 6/8 = 3/4
✔ Answer: 3/4
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4) What is the probability of the spinner landing on 1?
- Number of 1s = 1
- Probability = 1/8
✔ Answer: 1/8
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5) What is the probability of the spinner landing on 3?
- Number of 3s = 2
- Probability = 2/8 = 1/4
✔ Answer: 1/4
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6) What is the probability of the spinner landing on 4?
- Number of 4s = 3
- Probability = 3/8
✔ Answer: 3/8
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7) What is the probability of the spinner not landing on 3 or 4?
- Landing on 3 or 4 = 2 (for 3) + 3 (for 4) = 5
- Not landing on 3 or 4 = 8 - 5 = 3
- Probability = 3/8
✔ Answer: 3/8
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## 🅰️ Spinner 2 (Letters: A, B, C, E)
This spinner is also divided into 8 equal sections. Let’s count each letter:
- A appears → 1 time
- B appears → 1 time
- C appears → 2 times
- E appears → 4 times
✔ Total sections = 8
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8) Do you have an equal chance of landing on either B or C?
- B appears 1 time → probability = 1/8
- C appears 2 times → probability = 2/8 = 1/4
- 1/8 ≠ 1/4 → Not equal
✔ Answer: No
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9) What is the probability of the spinner not landing on B or E?
- B or E = 1 (B) + 4 (E) = 5
- Not landing on B or E = 8 - 5 = 3
- Probability = 3/8
✔ Answer: 3/8
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10) Do you have an equal chance of landing on either A or C?
- A = 1/8
- C = 2/8 = 1/4
- 1/8 ≠ 1/4 → Not equal
✔ Answer: No
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11) What is the probability of the spinner landing on A or B?
- A or B = 1 (A) + 1 (B) = 2
- Probability = 2/8 = 1/4
✔ Answer: 1/4
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12) What is the probability of the spinner not landing on B or C?
- B or C = 1 (B) + 2 (C) = 3
- Not landing on B or C = 8 - 3 = 5
- Probability = 5/8
✔ Answer: 5/8
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13) Do you have an equal chance of landing on either A or E?
- A = 1/8
- E = 4/8 = 1/2
- 1/8 ≠ 1/2 → Not equal
✔ Answer: No
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14) What is the probability of the spinner not landing on E?
- E appears 4 times
- Not landing on E = 8 - 4 = 4
- Probability = 4/8 = 1/2
✔ Answer: 1/2
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## ✔ Final Answers Summary:
| Question | Answer |
|----------|------------|
| 1 | 3/8 |
| 2 | 3/4 |
| 3 | 3/4 |
| 4 | 1/8 |
| 5 | 1/4 |
| 6 | 3/8 |
| 7 | 3/8 |
| 8 | No |
| 9 | 3/8 |
| 10 | No |
| 11 | 1/4 |
| 12 | 5/8 |
| 13 | No |
| 14 | 1/2 |
Let me know if you’d like a visual breakdown or explanation for any specific question!
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## 🔢 Spinner 1 (Numbers: 1, 2, 3, 4)
This spinner is divided into 8 equal sections. Let’s count how many times each number appears:
- 1 appears → 1 time
- 2 appears → 2 times
- 3 appears → 2 times
- 4 appears → 3 times
✔ Total sections = 8
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Questions 1–7 (Spinner 1)
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1) What is the probability of the spinner landing on 1 or 3?
- Number of favorable outcomes: 1 (for 1) + 2 (for 3) = 3
- Total outcomes = 8
- Probability = 3/8
✔ Answer: 3/8
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2) What is the probability of the spinner not landing on 3?
- Number of 3s = 2
- So, not landing on 3 = 8 - 2 = 6
- Probability = 6/8 = 3/4
✔ Answer: 3/4
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3) What is the probability of the spinner not landing on 2?
- Number of 2s = 2
- Not landing on 2 = 8 - 2 = 6
- Probability = 6/8 = 3/4
✔ Answer: 3/4
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4) What is the probability of the spinner landing on 1?
- Number of 1s = 1
- Probability = 1/8
✔ Answer: 1/8
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5) What is the probability of the spinner landing on 3?
- Number of 3s = 2
- Probability = 2/8 = 1/4
✔ Answer: 1/4
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6) What is the probability of the spinner landing on 4?
- Number of 4s = 3
- Probability = 3/8
✔ Answer: 3/8
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7) What is the probability of the spinner not landing on 3 or 4?
- Landing on 3 or 4 = 2 (for 3) + 3 (for 4) = 5
- Not landing on 3 or 4 = 8 - 5 = 3
- Probability = 3/8
✔ Answer: 3/8
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## 🅰️ Spinner 2 (Letters: A, B, C, E)
This spinner is also divided into 8 equal sections. Let’s count each letter:
- A appears → 1 time
- B appears → 1 time
- C appears → 2 times
- E appears → 4 times
✔ Total sections = 8
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Questions 8–14 (Spinner 2)
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8) Do you have an equal chance of landing on either B or C?
- B appears 1 time → probability = 1/8
- C appears 2 times → probability = 2/8 = 1/4
- 1/8 ≠ 1/4 → Not equal
✔ Answer: No
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9) What is the probability of the spinner not landing on B or E?
- B or E = 1 (B) + 4 (E) = 5
- Not landing on B or E = 8 - 5 = 3
- Probability = 3/8
✔ Answer: 3/8
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10) Do you have an equal chance of landing on either A or C?
- A = 1/8
- C = 2/8 = 1/4
- 1/8 ≠ 1/4 → Not equal
✔ Answer: No
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11) What is the probability of the spinner landing on A or B?
- A or B = 1 (A) + 1 (B) = 2
- Probability = 2/8 = 1/4
✔ Answer: 1/4
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12) What is the probability of the spinner not landing on B or C?
- B or C = 1 (B) + 2 (C) = 3
- Not landing on B or C = 8 - 3 = 5
- Probability = 5/8
✔ Answer: 5/8
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13) Do you have an equal chance of landing on either A or E?
- A = 1/8
- E = 4/8 = 1/2
- 1/8 ≠ 1/2 → Not equal
✔ Answer: No
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14) What is the probability of the spinner not landing on E?
- E appears 4 times
- Not landing on E = 8 - 4 = 4
- Probability = 4/8 = 1/2
✔ Answer: 1/2
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## ✔ Final Answers Summary:
| Question | Answer |
|----------|------------|
| 1 | 3/8 |
| 2 | 3/4 |
| 3 | 3/4 |
| 4 | 1/8 |
| 5 | 1/4 |
| 6 | 3/8 |
| 7 | 3/8 |
| 8 | No |
| 9 | 3/8 |
| 10 | No |
| 11 | 1/4 |
| 12 | 5/8 |
| 13 | No |
| 14 | 1/2 |
Let me know if you’d like a visual breakdown or explanation for any specific question!
Parent Tip: Review the logic above to help your child master the concept of probability math worksheet.