Question

Emanuel will spin the spinner two times.

Which diagram shows all possible outcomes of Emanuel's spins?
Responses

Answer 1

To represent all possible outcomes of Emanuel's spins on a spinner, we can use a tree diagram or a list format. Since you haven't specified the details of the spinner (number of sections, labels, etc.), I'll describe a general approach.

If the spinner has \( n \) distinct sections labeled (for example, A, B, C, D), the outcomes when the spinner is spun twice can be represented as follows:

### Tree Diagram
1. Start with the first spin (branch out to each possible outcome from the first spin).
2. From each outcome of the first spin, branch out again to show the possibilities for the second spin.

For example, if the spinner is divided into sections A, B, and C:

1. First Spin:
- A
- B
- C

2. Second Spin:
- From A: (A, A), (A, B), (A, C)
- From B: (B, A), (B, B), (B, C)
- From C: (C, A), (C, B), (C, C)

### Listing All Outcomes:
You can also list all possible outcomes in a table:

- (A, A)
- (A, B)
- (A, C)
- (B, A)
- (B, B)
- (B, C)
- (C, A)
- (C, B)
- (C, C)

This structure shows all \( n \times n \) outcomes for two spins of an \( n \)-section spinner. If you provide details about the sections of the spinner, I can help you create a more specific diagram or list!