A Student Participates in a Coke Versus Pepsi Taste Test

Multiple Choice

A student participates in a Coke versus Pepsi taste test. She correctly identifies the correct soda 4 times out of 6 tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least 4 right out of 6 tries just by chance alone. Which of the following would provide an accurate estimate of that probability?

A) Have the student repeat this experiment many times and calculate the percentage of times she correctly distinguishes between the brands.
B) Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries.
C) Simulate this on the computer with a 50% chance of guessing the correct soft drink on each try, and calculate the proportion of times there are 4 or more correct guesses out of 6 trials.
D) All of the methods listed above would provide an accurate estimate of the probability.