Let's solve each spinner probability problem step by step. The goal is to determine the
probability of the spinner landing on a specific number or type of number (even, odd), using
fractional form.
---
Problem 1:
Spinner has numbers:
1, 3, 1, 4, 1, 2, 1, 4
(8 sections total)
Let’s count:
- Number of 1s:
4
- Number of 2s:
1
- Number of 3s:
1
- Number of 4s:
2
Total sections = 8
#### Questions:
1.
Land on 1:
$ \frac{4}{8} = \frac{1}{2} $
2.
Land on 2:
$ \frac{1}{8} $
3.
Land on even:
Even numbers: 2, 4, 4 → total of 3 even sections
$ \frac{3}{8} $
---
Problem 2:
Spinner has numbers:
3, 2, 1, 5, 9, 2, 1, 1
(8 sections)
Count:
- 1s:
3
- 2s:
2
- 3s:
1
- 5s:
1
- 9s:
1
Total = 8
#### Questions:
1.
Land on 4:
There is
no 4, so probability = $ \frac{0}{8} = 0 $
2.
Land on 5:
One 5 → $ \frac{1}{8} $
3.
Land on odd:
Odd numbers: 1, 1, 1, 3, 5, 9 → 6 odd numbers
$ \frac{6}{8} = \frac{3}{4} $
---
Problem 3:
Spinner has numbers:
1, 2, 4, 3, 3, 2, 1, 3
(8 sections)
Count:
- 1s:
2
- 2s:
2
- 3s:
3
- 4s:
1
#### Questions:
1.
Land on 4:
One 4 → $ \frac{1}{8} $
2.
Land on 1:
Two 1s → $ \frac{2}{8} = \frac{1}{4} $
3.
Land on odd:
Odd numbers: 1, 1, 3, 3, 3 → 5 odd numbers
$ \frac{5}{8} $
---
Problem 4:
Spinner has numbers:
3, 3, 2, 2, 1, 4, 4, 2
(8 sections)
Count:
- 1:
1
- 2:
3
- 3:
2
- 4:
2
#### Questions:
1.
Land on 2:
Three 2s → $ \frac{3}{8} $
2.
Land on 4:
Two 4s → $ \frac{2}{8} = \frac{1}{4} $
3.
Land on odd:
Odd numbers: 1, 3, 3 → 3 odd numbers
$ \frac{3}{8} $
---
✔ Final Answers:
####
1.
- Land on 1: $ \frac{1}{2} $
- Land on 2: $ \frac{1}{8} $
- Land on even: $ \frac{3}{8} $
####
2.
- Land on 4: $ 0 $
- Land on 5: $ \frac{1}{8} $
- Land on odd: $ \frac{3}{4} $
####
3.
- Land on 4: $ \frac{1}{8} $
- Land on 1: $ \frac{1}{4} $
- Land on odd: $ \frac{5}{8} $
####
4.
- Land on 2: $ \frac{3}{8} $
- Land on 4: $ \frac{1}{4} $
- Land on odd: $ \frac{3}{8} $
---
✔ Explanation:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes).
We counted how many times each number appears and divided by the total number of sections (8 in all cases). We simplified fractions where possible.
Let me know if you'd like this formatted for printing or as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of 4th grade probability worksheet.
