Question

During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experimental probability of rolling a two was approximately (1/9). Which of the following is true about Juan’s claim?

(A) Juan's claim is accurate.
(B) Juan's claim is inaccurate because the experimental probability is less than the theoretical probability.
(C) Juan's claim is accurate because the experimental probability matches the theoretical probability.
(D) Juan's claim is inaccurate because the experimental probability should be closer to (1/6).

Answer 1

Juan's claim is inaccurate because the experimental probability of rolling a two should be closer to 1/6.

Step-by-step explanation:

Juan's claim is inaccurate because the experimental probability should be closer to 1/6. The theoretical probability of rolling a two on a six-sided number cube is 1/6 because there is only one face with a two out of six possible outcomes. In Juan's experiment, he rolled the number cube 18 times and obtained a two four times. The experimental probability can be calculated by dividing the number of favorable outcomes (4) by the total number of trials (18), which equals 4/18, or approximately 0.2222. This experimental probability is not close to 1/6, therefore Juan's claim is inaccurate.