Suppose a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 holes each.

Part A: Design a simulation. 

Design and conduct a simulation to estimate the likelihood that the golfer will sink at least two holes-in-one during a single game. Be sure to show all work for the five steps of simulation.

Part B: Apply your findings. 

Using your findings from part A, answer the following questions:

1. What is the probability the golfer got zero or one hole-in-one during a single game?
2. What is the probability the golfer got exactly two holes-in-one during a single game?
3. What is the probability the golfer got six holes-in-one during a single game?

Part C: Compare. 

According to PuttPutt.net, in 2016 the average mini golfer had a 24% chance of sinking two or more holes-in-one per game.

1. Compare your results from part A with your partner’s results. How do they compare with the percentage stated earlier?
2. What do you think contributed to the differing results?