help! probability

Question

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 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

 

Note:  It is Tyler who interprets this to mean using coupons.

 

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).