Question

select all the correct locations in the table. a board game has a spinner to decide each players move. the spinner is divided evenly into four sections, with each section labeled as follows: forward one space, forward two spaces, backward one space, backward two spaces. the results for the first 24 spins of this game are shown in the table. based on these results, for which sections is the experimental probability significantly different from the model?

Explanation:

Step1: Calculate theoretical probability

Since the spinner is divided evenly into 4 sections, the theoretical probability of each section is $\frac{1}{4}= 0.25$. The total number of spins is $n = 8 + 6+4 + 6=24$.

Step2: Calculate experimental probabilities

For Forward One Space: $P_1=\frac{8}{24}=\frac{1}{3}\approx0.33$.
For Forward Two Spaces: $P_2=\frac{6}{24}=0.25$.
For Backward One Space: $P_3=\frac{4}{24}=\frac{1}{6}\approx0.17$.
For Backward Two Spaces: $P_4=\frac{6}{24}=0.25$.

Step3: Compare with theoretical probability

The theoretical probability is 0.25. The experimental probability of Forward One Space ($\approx0.33$) and Backward One Space ($\approx0.17$) are significantly different from 0.25.

Answer:

Forward One Space, Backward One Space