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?
AThe experimental probability is greater than the theoretical probability by more than 2%.
The experimental probability is less than the theoretical probability by more than 2%.
The experimental probability is greater than the theoretical probability, but within 2%.
The experimental probability is less than the theoretical probability, but within 2%.
The theoretical probability of rolling a 1 on an 8-sided die is 1/8 or 12.5%. Since Tyler believes that a roll of 1 on the die indicates a customer using a coupon, the theoretical probability of a customer using a coupon is 12.5%.
The experimental probability is found by dividing the number of customers who used a coupon (4) by the total number of customers (48), which gives 4/48 = 1/12 or approximately 8.33%.
Comparing the experimental probability of 8.33% to the theoretical probability of 12.5%, we see that the experimental probability is less than the theoretical probability by more than 2%. Therefore, the correct answer is:
B) The experimental probability is less than the theoretical probability by more than 2%.