Question

josiah conducts an experiment that has 4 possible outcomes. sally conducts an experiment that has 10 possible outcomes. the students conduct 50 trials each. which statement best compares the two experiments? josiahs results are more likely to be close to the predicted results because he had a smaller number of possible outcomes. sallys results are more likely to be close to the predicted results because she had a larger number of possible outcomes. josiah and sally have the same likelihood of the experimental results being close to the predicted results because they used the same number of trials. josiah and sally have the same likelihood of the experimental results being close to the predicted results because the outcome of either experiment is unrelated to the outcome of the other experiment.

Explanation:

The law of large numbers states that as the number of trials in an experiment increases, the experimental probability gets closer to the theoretical (predicted) probability. Here, both Josiah and Sally conduct 50 trials. The number of possible outcomes does not directly affect the likelihood of experimental results being close to predicted results when the number of trials is the same.

Answer:

Josiah and Sally have the same likelihood of the experimental results being close to the predicted results because they used the same number of trials.