14. justify reasoning a customer at a festival spins a spinner with 3 equal sections labeled 1 through 3. if…

14. justify reasoning a customer at a festival spins a spinner with 3 equal sections labeled 1 through 3. if the customer spins a 1, they win a prize. the prizes at the festival are running out. how can the spinner be changed, so that the prizes do not run out too quickly? explain.

14. justify reasoning a customer at a festival spins a spinner with 3 equal sections labeled 1 through 3. if the customer spins a 1, they win a prize. the prizes at the festival are running out. how can the spinner be changed, so that the prizes do not run out too quickly? explain.

Answer

Explanation:

Step1: Analyze current probability

The current probability of winning is $\frac{1}{3}$ since there is 1 winning - section out of 3.

Step2: Suggest a change

To decrease the probability of winning, add more non - winning sections. For example, add 3 more sections labeled 4, 5, and 6.

Step3: Calculate new probability

The new probability of winning would be $\frac{1}{6}$ (1 winning section out of 6 total sections). This makes it less likely for customers to win, so prizes won't run out as quickly.

Answer:

Add more non - winning sections to the spinner. For example, add 3 more sections labeled 4, 5, and 6 to make the probability of winning $\frac{1}{6}$ instead of $\frac{1}{3}$.