Question
햣 3.2 2. na’ilah is spinning 2 fair spinners. a b c a b c spinner 1 spinner 2 which table shows all the possible outcomes of spinning both spinners? Aspinner 1 a b c a b c a b c spinner 2 a a a b b b c c c b spinner 1 a a b b c c spinner 2 b c a c a b c spinner 1 a b c c a b b c a spinner 2 b c a a b c c a b dspinner 1 a b c spinner 2 a b colors
Answers
GPT-4o mini
To find all the possible outcomes when spinning two fair spinners, we need to create a list of combinations formed by each section of the first spinner paired with each section of the second spinner.
Assuming the first spinner has sections labeled "a," "b," and "c," and the second spinner also has sections labeled "a," "b," and "c," we can list all the combinations in a table format.
### Outcomes:
1. **Spinner 1: a**
- Spinner 2: a → (a, a)
- Spinner 2: b → (a, b)
- Spinner 2: c → (a, c)
2. **Spinner 1: b**
- Spinner 2: a → (b, a)
- Spinner 2: b → (b, b)
- Spinner 2: c → (b, c)
3. **Spinner 1: c**
- Spinner 2: a → (c, a)
- Spinner 2: b → (c, b)
- Spinner 2: c → (c, c)
### Possible Outcomes Table:
| Spinner 1 | Spinner 2 | Outcome |
|-----------|-----------|---------|
| a | a | (a, a) |
| a | b | (a, b) |
| a | c | (a, c) |
| b | a | (b, a) |
| b | b | (b, b) |
| b | c | (b, c) |
| c | a | (c, a) |
| c | b | (c, b) |
| c | c | (c, c) |
### Summary of Outcomes:
The complete list of possible outcomes when spinning both spinners is:
- (a, a)
- (a, b)
- (a, c)
- (b, a)
- (b, b)
- (b, c)
- (c, a)
- (c, b)
- (c, c)
If the spinners have different labels or more sections, you would apply the same pairing method. In your case with letters and colors, simply replace the letters in the above table with the respective colors or letters found on your spinners.
Assuming the first spinner has sections labeled "a," "b," and "c," and the second spinner also has sections labeled "a," "b," and "c," we can list all the combinations in a table format.
### Outcomes:
1. **Spinner 1: a**
- Spinner 2: a → (a, a)
- Spinner 2: b → (a, b)
- Spinner 2: c → (a, c)
2. **Spinner 1: b**
- Spinner 2: a → (b, a)
- Spinner 2: b → (b, b)
- Spinner 2: c → (b, c)
3. **Spinner 1: c**
- Spinner 2: a → (c, a)
- Spinner 2: b → (c, b)
- Spinner 2: c → (c, c)
### Possible Outcomes Table:
| Spinner 1 | Spinner 2 | Outcome |
|-----------|-----------|---------|
| a | a | (a, a) |
| a | b | (a, b) |
| a | c | (a, c) |
| b | a | (b, a) |
| b | b | (b, b) |
| b | c | (b, c) |
| c | a | (c, a) |
| c | b | (c, b) |
| c | c | (c, c) |
### Summary of Outcomes:
The complete list of possible outcomes when spinning both spinners is:
- (a, a)
- (a, b)
- (a, c)
- (b, a)
- (b, b)
- (b, c)
- (c, a)
- (c, b)
- (c, c)
If the spinners have different labels or more sections, you would apply the same pairing method. In your case with letters and colors, simply replace the letters in the above table with the respective colors or letters found on your spinners.