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

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




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  1. 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

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