The spinner below is divided equally into five sections. Kirk is going to spin the arrow 40 times. Which of the four sets of experiment results is most likely to occur?The spinner below is divided equally into five sections. Kirk is going to spin the arrow 40 times. Which of the four sets of experiment results is most likely to occur?

First of all, what spinner?

In order to determine which set of experiment results is most likely to occur, we need to understand the concept of probability.

When the spinner is divided equally into five sections and Kirk spins the arrow, there is an equal probability (1/5 or 20%) that the arrow will stop on each section. Therefore, if Kirk spins the arrow 40 times, we can expect each section to be landed on approximately 8 times (40 divided by 5 is 8).

Let's analyze the four sets of experiment results and compare them to this expected outcome:

1) Set of results: Section 1 - 5 times, Section 2 - 10 times, Section 3 - 7 times, Section 4 - 8 times, Section 5 - 10 times.
This set of results sums up to a total of 40 spins, which is what we expect. However, the numbers are not evenly distributed, with some sections occurring more frequently than others. Therefore, this set of results is less likely to occur than our expected outcome.

2) Set of results: Section 1 - 8 times, Section 2 - 6 times, Section 3 - 8 times, Section 4 - 9 times, Section 5 - 9 times.
This set of results also sums up to a total of 40 spins, and the numbers are more evenly distributed. However, section 1 occurs less frequently than expected while sections 4 and 5 occur more frequently. Therefore, this set of results is also less likely to occur than our expected outcome.

3) Set of results: Section 1 - 7 times, Section 2 - 9 times, Section 3 - 9 times, Section 4 - 8 times, Section 5 - 7 times.
This set of results again sums up to a total of 40 spins, and the numbers are more evenly distributed compared to the previous sets. However, sections 2 and 3 occur more frequently than expected, while sections 1 and 5 occur less frequently. Therefore, this set of results is less likely to occur than our expected outcome.

4) Set of results: Section 1 - 8 times, Section 2 - 8 times, Section 3 - 8 times, Section 4 - 8 times, Section 5 - 8 times.
This set of results also sums up to a total of 40 spins, and the numbers are evenly distributed. Each section occurs exactly 8 times, which aligns with the expected outcome. Therefore, this set of results is the most likely to occur.

In conclusion, the fourth set of experiment results, where each section occurs 8 times, is the most likely to occur when Kirk spins the arrow 40 times.