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?

Question

Owen Morton

Mathematics

1 July, 08:36

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?

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Pierre Cherry · Answer 1

"1 indicating a coupon and all other outcomes indicating no coupon"

Probability is (number of successful outcomes) / (number of possible outcomes)

Theoretical Probability of rolling a 1: 1/8

Experimental Probability of using coupons: 4/48 = 1/12

So, the experimental probability of a customer using a coupon (that is, 1/12) is smaller than the theoretical probability of rolling a 1 (that is, 1/8).