Question

If 20% of the people who shop at a local grocery store buy apples, what is the probability that it will take no more than 5 customers to find one who buys apples?

Which simulation design has an appropriate device and a correct trial for this problem?
A) Roll a fair die where 1-2 are buying apples and 3-6 are not buying apples. Roll the die until you get a 1 or 2. Record the number of rolls it took you.
B) Using a random digits table select one digit numbers where 0-2 is a customer who buys apples and 3-9 is a customer who does not. Keep selecting one digit numbers until you get a 0-2. Record the number of digits selected.
C) Using a random digits table select one digit numbers where 0-1 is a customer who buys apples and 2-9 is a customer who does not. Keep selecting one digit numbers until you get a 0 or 1. Record the number of digits selected.
D) Spin a spinner that is split up into 5 sections, where 2 sections are a success of buying apples and the other three sections are not buying apples. Keep spinning until you get someone that buys apples. Record the number of spins it took you.

Answer 1

C) Using a random digits table select one digit numbers where 0-1 is a customer who buys apples and 2-9 is a customer who does not. Keep selecting one digit numbers until you get a 0 or 1. Record the number of digits selected.

Explanation:

There are 10 digits from 0 to 10

0-1 are 2 out of 10

2/10 × 100 = 20%

Therefore 20% chance of buying apples