Question

read the story.
the teeny greens miniature golf course is holding a contest where anyone who gets a hole - in - one on at least 3 holes wins a free month of mini - golf. devin gets a hole - in - one 5% of the time. how likely is it that devin will get at least 3 holes - in - one on the first 9 holes he plays during todays game?
which simulation could be used to fairly represent the situation?
use a computer to randomly generate 9 numbers from 1 to 20. each time a 1 appears, it represents a hole - in - one.
put 1 white stone and 4 gray stones in a bag. pick a stone, then return it to the bag, 5 times. each time a white stone appears, it represents a hole - in - one.
create a deck of 20 cards, each labeled with a different number from 1 to 20. pick a card, then return it to the deck, 3 times. each time a 9 appears, it represents a hole - in - one.

Explanation:

Step1: Calculate the probability of getting a hole - in - one

Devin gets a hole - in - one \(5\%\) of the time. \(5\%=\frac{5}{100}=\frac{1}{20}\)

Step2: Analyze each simulation

• First simulation:

Generating 9 numbers from 1 to 20. The probability of getting a 1 (representing hole - in - one) is \(\frac{1}{20}\), and we are doing 9 trials (since there are 9 holes).

• Second simulation:

There are \(1 + 4=5\) stones. The probability of picking a white stone is \(\frac{1}{5}=20\%
eq5\%\)

• Third simulation:

We are doing 3 trials (picking cards 3 times) instead of 9 trials (for 9 holes)

Answer:

Use a computer to randomly generate 9 numbers from 1 to 20. Each time a 1 appears, it represents a hole - in - one.