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)

Question

24
9
• 81
0 27

Answer 1

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

1. Each time the spinner is spun, there are 3 possible outcomes (1, 2, or 3).
2. Since the spinner is spun three times, we can use the multiplication rule of counting to calculate the total outcomes.

The total number of outcomes is determined by multiplying the number of outcomes for each spin:

\[ \text{Total Outcomes} = \text{(Number of outcomes for Spin 1)} \times \text{(Number of outcomes for Spin 2)} \times \text{(Number of outcomes for Spin 3)} \]

This means:

\[ \text{Total Outcomes} = 3 \times 3 \times 3 = 3^3 = 27 \]

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