Question

luis rolled a number cube 60 times. he rolled the number 6 four times. which is most likely the cause of the discrepancy between luis’s experimental outcome and the predicted outcome?
○ he did not perform enough trials.
○ he performed too many trials.
○ he needs to add the number 6 to the number of times it occurred.
○ he needs to subtract the experimental outcome from the predicted outcome.

Explanation:

When rolling a number cube, the theoretical probability of rolling a 6 is $\frac{1}{6}$. For 60 rolls, the expected (predicted) number of 6s is $60\times\frac{1}{6} = 10$. But he only got 4. In probability experiments, a small number of trials (not enough trials) can lead to a large discrepancy between experimental and theoretical (predicted) results. Performing too many trials would make the experimental result closer to the predicted one, so option B is wrong. Options C and D are not valid methods to reconcile experimental and predicted outcomes as they don't address the sampling issue.

Answer:

A. He did not perform enough trials.