Question

Theoretical Probabilities of Repeated Events Quick Check
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Question
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

81
81

27

Answer 1

To determine the number of possible outcomes when a spinner that has three equal parts labeled 1, 2, and 3 is spun three times, we can use the formula for the number of outcomes of repeated independent events.

Each spin has 3 possible outcomes (1, 2, or 3). Since the spins are independent, you would multiply the number of outcomes for each spin together:

\[
\text{Total Outcomes} = \text{Outcomes per spin} ^ \text{Number of spins}
\]

In this case:

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

Thus, the number of possible outcomes when the spinner is spun three times is **27**.