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? The 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%.

Answer 1

The correct answer choice is; The experimental probability is less than the theoretical probability by more than 2%.

How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die?

It follows from the task content that, upon evaluation;

The experimental probability upon evaluation = 4/48 = 1/12.

The theoretical probability upon evaluation = 1/8.

Consequently, it follows that the experimental probability is less than the theoretical probability by more than 2%.

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