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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 24 24 27 27 81

1 answer

To determine the total number of possible outcomes when a spinner labeled 1, 2, and 3 is spun three times, we can use the principle of counting.

  1. Identify the number of outcomes for each spin: Each spin can land on one of three outcomes: 1, 2, or 3. This gives us 3 outcomes per spin.

  2. Find the total outcomes for three spins: Since each spin is independent, to find the total number of outcomes when spinning the spinner three times, we use the formula:

    \[ \text{Total outcomes} = (\text{Number of outcomes per spin})^{\text{Number of spins}} = 3^3 \]

    Calculating this gives:

    \[ 3^3 = 27 \]

Therefore, the total number of possible outcomes when the spinner is spun three times is 27.

The correct response is 27.