To determine the number of possible outcomes when a spinner labeled 1, 2, and 3 is spun three times, we can approach this using a simple combinatorial calculation.
Each time the spinner is spun, there are 3 possible outcomes (1, 2, or 3). Since the spins are independent, the total number of outcomes can be calculated by raising the number of outcomes per spin to the power of the number of spins.
Calculation:
Number of outcomes per spin = 3
Number of spins = 3
Total outcomes = \( 3^3 = 27 \)
Thus, the total number of possible outcomes when the spinner is spun three times is 27.
Answer: 27