Question 24 • Concepts in Probability and Statistics A
Tyler believes that an 8-sided die can be used to predict whether customers at his store will use a coupon when making their purchases, with a roll of 1 indicating a coupon and all other outcomes indicating no coupon. Today, 4 of the first 48 customers in the store used a coupon. How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die?
Answer
A
The experimental probability is greater than the theoretical probability by more than 2%.
B
The experimental probability is less than the theoretical probability by more than 2%.
C
The experimental probability is greater than the theoretical probability, but within 2%.
D
The experimental probability is less than the theoretical probability, but within 2%.
Explanation
The experimental probability is 4/48 = 1/12, or about 8.33%. The theoretical probability is 1/8 = 12.5%, since only one of the die’s eight outcomes represents using a coupon. The experimental probability is about 4.17 percentage points lower, which is more than 2%, so the correct choice is B, less than the theoretical probability by more than 2%.
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