Let’s solve each question step by step using the spinners shown.
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First Spinner (Questions 1–7):
The spinner is divided into 8 equal sections:
- Number
1 appears
1 time
- Number
2 appears
2 times
- Number
3 appears
2 times
- Number
4 appears
3 times
Total sections = 8
Probability = (Number of favorable outcomes) / (Total outcomes)
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1) Probability of landing on 1 or 3?
Favorable: 1 (for “1”) + 2 (for “3”) = 3
→ 3/8
2) Probability of NOT landing on 3?
Not 3 means: total - number of 3s = 8 - 2 = 6
→ 6/8 = 3/4
3) Probability of NOT landing on 2?
Not 2 = 8 - 2 = 6
→ 6/8 = 3/4
4) Probability of landing on 1?
Only 1 section has “1” → 1/8
5) Probability of landing on 3?
Two sections have “3” → 2/8 = 1/4
6) Probability of landing on 4?
Three sections have “4” → 3/8
7) Probability of NOT landing on 3 or 4?
First, find how many sections are 3 or 4: 2 (for 3) + 3 (for 4) = 5
So not 3 or 4 = 8 - 5 = 3
→ 3/8
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Second Spinner (Questions 8–14):
Spinner divided into 6 equal sections:
- A: 1 section
- B: 1 section
- C: 2 sections
- E: 2 sections
Total = 6
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8) Equal chance of landing on B or C?
B = 1 section, C = 2 sections → Not equal → No
9) Probability of NOT landing on B or E?
B or E = 1 (B) + 2 (E) = 3
Not B or E = 6 - 3 = 3 → 3/6 = 1/2
10) Equal chance of landing on A or C?
A = 1, C = 2 → Not equal → No
11) Probability of landing on A or B?
A + B = 1 + 1 = 2 → 2/6 = 1/3
12) Probability of NOT landing on B or C?
B or C = 1 + 2 = 3
Not B or C = 6 - 3 = 3 → 3/6 = 1/2
13) Equal chance of landing on A or E?
A = 1, E = 2 → Not equal → No
14) Probability of NOT landing on E?
E = 2 sections → Not E = 6 - 2 = 4 → 4/6 = 2/3
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Final 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) 1/2
10) No
11) 1/3
12) 1/2
13) No
14) 2/3
Parent Tip: Review the logic above to help your child master the concept of probability problems worksheet.
