What is the theoretical probability of rolling an 8, and how do the experimental and theoretical probabilities compare?

Question

What is the theoretical probability of rolling an 8, and how do the experimental and theoretical probabilities compare?

Responses

A The theoretical probability is 19.4%. The experiment rolled less 8's than would be expected theoretically.The theoretical probability is 19.4%. The experiment rolled less 8's than would be expected theoretically.

B The theoretical probability is 16.7%. The experiment rolled less 8's than would be expected theoretically.The theoretical probability is 16.7%. The experiment rolled less 8's than would be expected theoretically.

C The theoretical probability is 13.9%. The experiment rolled more 8's than would be expected theoretically.The theoretical probability is 13.9%. The experiment rolled more 8's than would be expected theoretically.

D The theoretical probability is 11.1%. The experiment rolled more 8's than would be expected theoretically.

Answer 1

The correct response is A: The theoretical probability of rolling an 8 is 16.67% (1/6), as there is only one way to roll an 8 out of six possible outcomes (1+7, 2+6, 3+5, 4+4, 5+3, 6+2). The experimental probability may differ from the theoretical probability due to chance, but over time it should approach the theoretical probability with sufficient trials. The response states that the experiment rolled less 8's than would be expected theoretically, suggesting that the experimental probability was lower than 16.67%. The statement about a probability of 19.4% is incorrect and not related to the question.