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
9
9
81
81
27
27
24
There are 27 possible outcomes when a spinner is spun three times.
Tree diagram:
- First spin: 3 possibilities (1, 2, 3)
- Second spin: 3 possibilities for each outcome of the first spin (3 x 3 = 9)
- Third spin: 3 possibilities for each outcome of the second spin (9 x 3 = 27)
Table:
| First Spin | Second Spin | Third Spin |
|------------|-------------|------------|
| 1 | 1 | 1 |
| 1 | 1 | 2 |
| 1 | 1 | 3 |
| ... | ... | ... |
| 3 | 3 | 1 |
| 3 | 3 | 2 |
| 3 | 3 | 3 |
Therefore, there are 27 possible outcomes.