To determine how many possible outcomes there are when a spinner labeled 1, 2, and 3 is spun three times, we can think of this as a combinatorial problem.
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Analyze the spinner:
- The spinner has 3 equal parts labeled 1, 2, and 3.
- Each time the spinner is spun, there are 3 possible outcomes.
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Calculate the possible outcomes for three spins:
- Since each spin is independent, we can multiply the number of outcomes for each spin together.
- The formula is: \[ \text{Total outcomes} = (\text{Number of outcomes per spin})^{\text{Number of spins}} = 3^3 \]
- Calculating this gives: \[ 3^3 = 27 \]
Thus, the total number of possible outcomes when the spinner is spun three times is 27.
The correct response is:
27