The spinner shown is spun twice. Use a tree diagram to record the sample space of the repeated experiment.

To create a tree diagram for a spinner spun twice, follow these steps:

1. Identify Outcomes of One Spin: Assume the spinner has sections labeled A, B, and C. This means one spin can result in either A, B, or C.

2. First Spin: Create the first level of the tree with three branches, one for each outcome: A, B, and C.

3. Second Spin: From each outcome of the first spin, draw three branches for the second spin (again resulting in A, B, or C).

4. Complete the Tree: For each outcome from the first spin, there will be three branches representing the possible outcomes from the second spin.

The complete tree will look like this:

– First Spin:

– A → Second Spin:

– A (AA)

– B (AB)

– C (AC)

– B → Second Spin:

– A (BA)

– B (BB)

– C (BC)

– C → Second Spin:

– A (CA)

– B (CB)

– C (CC)

5. Sample Space: The sample space, which is the set of all possible outcomes, will be: {AA, AB, AC, BA, BB, BC, CA, CB, CC}.

This diagram helps visualize all the combinations that can occur when the spinner is spun twice. If you need more assistance