Let's solve each probability question step by step based on the two spinners shown in the image.
---
First Spinner (Numbers: 1, 2, 3, 4)
The spinner is divided into
8 equal sections. Let's list the numbers:
- 1: appears
2 times
- 2: appears
1 time
- 3: appears
3 times
- 4: appears
2 times
Total sections = 8
We'll use the formula:
> Probability = (Number of favorable outcomes) / (Total number of outcomes)
---
####
1) What is the probability of the spinner landing on 1 or 4?
- Number of 1s = 2
- Number of 4s = 2
- Total favorable = 2 + 2 = 4
- P(1 or 4) = 4/8 =
1/2
✔ Answer: 1/2
---
####
2) What is the probability of the spinner not landing on 1?
- Number of 1s = 2
- So, not landing on 1 = 8 - 2 = 6
- P(not 1) = 6/8 =
3/4
✔ Answer: 3/4
---
####
3) What is the probability of the spinner not landing on 2?
- Number of 2s = 1
- Not landing on 2 = 8 - 1 = 7
- P(not 2) = 7/8
✔ Answer: 7/8
---
####
4) What is the probability of the spinner landing on 4?
- Number of 4s = 2
- P(4) = 2/8 =
1/4
✔ Answer: 1/4
---
####
5) What is the probability of the spinner not landing on 2?
Same as #3 → 7/8
✔ Answer: 7/8
---
####
6) What is the probability of the spinner landing on 3?
- Number of 3s = 3
- P(3) = 3/8
✔ Answer: 3/8
---
####
7) What is the probability of the spinner not landing on 4?
- Number of 4s = 2
- Not 4 = 8 - 2 = 6
- P(not 4) = 6/8 =
3/4
✔ Answer: 3/4
---
Second Spinner (Letters: A, B, C, E)
This spinner has
6 equal sections.
List of sections:
- A: 1
- B: 1
- C: 2
- E: 2
Total = 6
---
####
8) What is the probability of the spinner not landing on C?
- C appears 2 times
- Not C = 6 - 2 = 4
- P(not C) = 4/6 =
2/3
✔ Answer: 2/3
---
####
9) What is the probability of the spinner landing on B?
- B appears 1 time
- P(B) = 1/6
✔ Answer: 1/6
---
####
10) What is the probability of the spinner not landing on A or C?
- A: 1 section
- C: 2 sections
- A or C = 1 + 2 = 3 sections
- Not (A or C) = 6 - 3 = 3 sections
- P(not A or C) = 3/6 =
1/2
✔ Answer: 1/2
---
####
11) What is the probability of the spinner landing on A?
- A appears 1 time
- P(A) = 1/6
✔ Answer: 1/6
---
####
12) What is the probability of the spinner landing on E?
- E appears 2 times
- P(E) = 2/6 =
1/3
✔ Answer: 1/3
---
####
13) What is the probability of the spinner landing on A, B, or E?
- A: 1
- B: 1
- E: 2
- Total = 1 + 1 + 2 = 4
- P(A or B or E) = 4/6 =
2/3
✔ Answer: 2/3
---
####
14) What is the probability of the spinner landing on B or C?
- B: 1
- C: 2
- Total = 1 + 2 = 3
- P(B or C) = 3/6 =
1/2
✔ Answer: 1/2
---
✔ Final Answers:
1)
1/2
2)
3/4
3)
7/8
4)
1/4
5)
7/8
6)
3/8
7)
3/4
8)
2/3
9)
1/6
10)
1/2
11)
1/6
12)
1/3
13)
2/3
14)
1/2
Let me know if you'd like these answers formatted for printing or explained further!
Parent Tip: Review the logic above to help your child master the concept of probability spinner worksheet.