Choosing the Sample Space

Sep 30, 2026

Worksheet on selecting complete sample spaces for simple probability situations involving spinners and coin flips. Students choose the option listing all possible ordered outcomes for each scenario, including a spinner numbered 1 to 3 with a flipped coin, a labeled spinner (A, B, C) with a coin, a coin flip combined with a spinner, and two spinners with different number sets. Includes multiple-choice answer selections and answer key entries.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Choosing the Sample Space

Spinner and coin outcomes

Labeled spinner outcomes

Coin flip and spinner outcomes

Two-spinner outcomes

Choosing the Sample Space Name: | Choose the list that shows all of the possible outcomes.
1) A spinner numbered 1 to 3 is spun and a coin is flipped.
A. (1, H),(2, H),(2, T),(3, H),(3, T)
B. (1, H),(1, T),(4, H),(2, T),(3, H),(3, T)
C. (1, H),(1, T),(2, H),(2, T),(3, H),(3, T)
D. (1, T),(2, H),(2, T),(3, H),(3, H),(3, T) | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | | | | | 1.
2.
3. | | | | | 2) A spinner labeled A, B and C is spun and a coin is flipped.
A. (A, H),(B, H),(B, T),(C, H),(C, H),(C, T)
B. (A, H),(A, T),(B, H),(B, T),(C, H),(C, T)
C. (A, H),(A, T),(B, T),(C, H),(C, T)
D. (A, H),(A, T),(B, H),(B, T),(C, H),(C, D) | | | 4.
5.
6. | | | | | 3) A coin is flipped and a spinner numbered 1 to 3 is spun.
A. (H, 2),(H, 3),(H, 3),(T, 1),(T, 2),(T, 3)
B. (H, 1),(H, 2),(H, 4),(T, 1),(T, 2),(T, 3)
C. (H, 1),(H, 2),(H, 3),(T, 1),(T, 2)
D. (H, 1),(H, 2),(H, 3),(T, 1),(T, 2),(T, 3) | | | | | | | | 4) Two spinners are spun. The first is numbered 1 and 2. The second is numbered 4, 5 and 6.
A. (1, 4),(1, 5),(1, 6),(2, 4),(2, 5),(2, 6)
B. (1, 4),(1, 4),(1, 6),(2, 4),(2, 5),(2, 6)
C. (1, 5),(1, 6),(2, 4),(2, 5),(2, 6)
D. (1, 4),(1, 5),(1, 3),(2, 4),(2, 5),(2, 6) | | | | | | | | 5) A coin is flipped and a spinner numbered 1 to 3 is spun.
A. (H, 1),(H, 3),(T, 1),(T, 2),(T, 3)
B. (H, 1),(H, 2),(T, 1),(T, 2),(T, 2),(T, 3)
C. (H, 1),(H, 2),(H, 3),(T, 1),(T, 2),(T, 3)
D. (H, 4),(H, 2),(H, 3),(T, 1),(T, 2),(T, 3) | | | | | | | | 6) A spinner labeled A, B and C is spun and a coin is flipped.
A. (A, H),(B, H),(B, T),(C, H),(C, T),(C, T)
B. (D, H),(A, T),(B, H),(B, T),(C, H),(C, T)
C. (A, H),(A, T),(B, T),(C, H),(C, T)
D. (A, H),(A, T),(B, H),(B, T),(C, H),(C, T) | | | | | | | | 1-6 | 83 | 67 | 50 | 33 | 17 | 0 | [Math](Math www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8) Choosing the Sample Space Name: Answer Key | Choose the list that shows all of the possible outcomes.
1) A spinner numbered 1 to 3 is spun and a coin is flipped.
A. (1, H),(2, H),(2, T),(3, H),(3, T)
B. (1, H),(1, T),(4, H),(2, T),(3, H),(3, T)
C. (1, H),(1, T),(2, H),(2, T),(3, H),(3, T)
D. (1, T),(2, H),(2, T),(3, H),(3, H),(3, T) | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | | | | | 1. C
2. B
3. D | | | | | 2) A spinner labeled A, B and C is spun and a coin is flipped.
A. (A, H),(B, H),(B, T),(C, H),(C, H),(C, T)
B. (A, H),(A, T),(B, H),(B, T),(C, H),(C, T)
C. (A, H),(A, T),(B, T),(C, H),(C, T)
D. (A, H),(A, T),(B, H),(B, T),(C, H),(C, D) | | | 4. A
5. C
6. D | | | | | 3) A coin is flipped and a spinner numbered 1 to 3 is spun.
A. (H, 2),(H, 3),(H, 3),(T, 1),(T, 2),(T, 3)
B. (H, 1),(H, 2),(H, 4),(T, 1),(T, 2),(T, 3)
C. (H, 1),(H, 2),(H, 3),(T, 1),(T, 2)
D. (H, 1),(H, 2),(H, 3),(T, 1),(T, 2),(T, 3) | | | | | | | | 4) Two spinners are spun. The first is numbered 1 and 2. The second is numbered 4, 5 and 6.
A. (1, 4),(1, 5),(1, 6),(2, 4),(2, 5),(2, 6)
B. (1, 4),(1, 4),(1, 6),(2, 4),(2, 5),(2, 6)
C. (1, 5),(1, 6),(2, 4),(2, 5),(2, 6)
D. (1, 4),(1, 5),(1, 3),(2, 4),(2, 5),(2, 6) | | | | | | | | 5) A coin is flipped and a spinner numbered 1 to 3 is spun.
A. (H, 1),(H, 3),(T, 1),(T, 2),(T, 3)
B. (H, 1),(H, 2),(T, 1),(T, 2),(T, 2),(T, 3)
C. (H, 1),(H, 2),(H, 3),(T, 1),(T, 2),(T, 3)
D. (H, 4),(H, 2),(H, 3),(T, 1),(T, 2),(T, 3) | | | | | | | | 6) A spinner labeled A, B and C is spun and a coin is flipped.
A. (A, H),(B, H),(B, T),(C, H),(C, T),(C, T)
B. (D, H),(A, T),(B, H),(B, T),(C, H),(C, T)
C. (A, H),(A, T),(B, T),(C, H),(C, T)
D. (A, H),(A, T),(B, H),(B, T),(C, H),(C, T) | | | | | | | | 1-6 | 83 | 67 | 50 | 33 | 17 | 0 | [Math](Math www.CommonCoreSheets.com 8)[ www.CommonCoreSheet

FAQs

What does “choosing the sample space” mean in this worksheet?

For each problem, students select the list that contains every possible outcome that can occur from the spinner(s) and coin flip in combination.

How are outcomes represented on the worksheet?

Outcomes are written as ordered pairs like (number or label, H/T), showing the spinner result and the coin result together.

How do you determine which answer choice is correct?

Check whether the selected list includes all combinations produced by the spinner(s) and the coin, without missing any possible ordered pairs.

Sep 30, 2026

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