Question

Suppose a miniature golf player sinks a hole-in-one once for every game (10 holes) out of 18 attempts at the game.

Part A: Design a simulation.

1. 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 this probability with your conclusion in part A.

2. What do you think contributed to the probabilities being so different?

Answer 1

The question is the likelihood/probability is for a golfer to sink at least two hole-in-ones during a single game that consists of eighteen holes.

The assumption is that there is a 12% chance of the golf player sinking a hole-in-one.

Each gold shot is independent of the following one.Since 12% is 12/100 or 3/25, I picked three numbers (0, 1, 2) out of numbers from 0 to 24.

I used a random number generator to produce eighteen numbers, from between 0 to 24. I repeated the process eight times for each game.

Data Collected:

Use a random number simulator to get the numbers and then highlight the numbers and present the conclusion.

For example:

Data Collected:

o Game 1: 13, 16, 24, 4, 5, 17, 23, 14, 12, 19, 16, 8, 0, 4, 7, 23, 2, 6

o Game 2: 14, 3, 9, 17, 0, 15, 1, 2, 4, 5, 8, 1, 7, 3, 21, 11, 12, 1

o Game 3: 4, 18, 1, 15, 10, 3, 0, 4, 11, 16, 1, 15, 14, 6, 4, 13, 19, 0

o Game 4: 18, 9, 0, 7, 22, 4, 2, 2, 7, 3, 8, 14, 20, 4, 20, 14, 11, 23

o Game 5: 5, 9, 23, 3, 23, 6, 4, 3, 10, 24, 3, 22, 10, 20, 2, 17, 20, 8

o Game 6: 23, 18, 20, 9, 10, 16, 9, 10, 23, 17, 13, 5, 3, 19, 15, 15, 24, 18

o Game 7: 24, 12, 6, 10, 23, 10, 12, 12, 13, 10, 11, 20, 1, 10, 16, 8, 17, 21

o Game 8: 23, 12, 15, 14, 19, 9, 18, 7, 17, 1, 12, 21, 21, 13, 23, 1, 4, 0

Game 1, Game 2, Game 3, Game 4, and Game 8 have at least two holes in one.

Part B: Apply your findings.

1. What is the probability the golfer got zero or one hole-in-one during a single game?

The probability of that the golfer got 0 or 1 hole-in-one during a single game is 0.375 or 37.5%. This is because the data shows that 3 out 8 games had this condition.

2. What is the probability the golfer got exactly two holes-in-one during a single game?

The probability that the golfer got exactly two hole-in-ones during a single game is 0.125 or 12.5%. This is because the data shows that 1 out 8 games had this condition.

3. What is the probability the golfer got six holes-in-one during a single game?

The probability that the golfer got six holes-in-one during a single game is 0 or 0%. This is because the data shows that 0 out 8 games had this condition.

Obviously your values would change due to the number genertor and the data you plan to use but here is a sample