Question

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
24
24
27

Answer 1

To determine the number of possible outcomes when a spinner is spun three times, we can use a tree diagram to represent all the possible combinations.

Let's denote each spin as A, B, and C.

A: 1, 2, 3
B: 1, 2, 3
C: 1, 2, 3

By listing out all the possible outcomes, we can see that there are a total of 27 possible combinations:

1. 1, 1, 1
2. 1, 1, 2
3. 1, 1, 3
4. 1, 2, 1
5. 1, 2, 2
6. 1, 2, 3
7. 1, 3, 1
8. 1, 3, 2
9. 1, 3, 3
10. 2, 1, 1
11. 2, 1, 2
12. 2, 1, 3
13. 2, 2, 1
14. 2, 2, 2
15. 2, 2, 3
16. 2, 3, 1
17. 2, 3, 2
18. 2, 3, 3
19. 3, 1, 1
20. 3, 1, 2
21. 3, 1, 3
22. 3, 2, 1
23. 3, 2, 2
24. 3, 2, 3
25. 3, 3, 1
26. 3, 3, 2
27. 3, 3, 3

Therefore, the correct response is 27.