Use a tree diagram or a table to determine how many possible outcomes there are when a spinner that has three equal parts labeled 1, 2, and 3 is spun three times.(1 point)
Responses
To determine the possible outcomes when the spinner is spun three times, we can create a tree diagram or a table.
Using a tree diagram:
- First spin: 3 outcomes (1, 2, 3)
- Second spin for each outcome of the first spin: 3 outcomes (1, 2, 3)
- Third spin for each outcome of the second spin: 3 outcomes (1, 2, 3)
Total possible outcomes = 3 x 3 x 3 = 27
Therefore, there are 27 possible outcomes when the spinner is spun three times.
Using a table:
| Spin 1 | Spin 2 | Spin 3 |
|--------|--------|--------|
| 1 | 1 | 1 |
| 1 | 1 | 2 |
| 1 | 1 | 3 |
| 1 | 2 | 1 |
| 1 | 2 | 2 |
| 1 | 2 | 3 |
| 1 | 3 | 1 |
| 1 | 3 | 2 |
| 1 | 3 | 3 |
| 2 | 1 | 1 |
| 2 | 1 | 2 |
| 2 | 1 | 3 |
| 2 | 2 | 1 |
| 2 | 2 | 2 |
| 2 | 2 | 3 |
| 2 | 3 | 1 |
| 2 | 3 | 2 |
| 2 | 3 | 3 |
| 3 | 1 | 1 |
| 3 | 1 | 2 |
| 3 | 1 | 3 |
| 3 | 2 | 1 |
| 3 | 2 | 2 |
| 3 | 2 | 3 |
| 3 | 3 | 1 |
| 3 | 3 | 2 |
| 3 | 3 | 3 |
Total possible outcomes = 27
Therefore, there are 27 possible outcomes when the spinner is spun three times.