Question

nadine conducted an experiment with four possible outcomes. trevor conducted the same experiment, but he doubled the number of trials. which statements are true? choose two correct answers.
nadine has more experimental outcomes than trevor.
trevors experimental probability is more likely closer to the theoretical probability than nadines.
trevor has more experimental outcomes than nadine.
nadines experimental probability is more likely closer to the theoretical probability than trevors.
trevors sample space is greater than nadines.

Explanation:

Step1: Understand the relationship between sample size and experimental probability

The more trials (larger sample space) an experiment has, the closer the experimental probability is to the theoretical probability. Trevor doubled the number of trials (sample space) compared to Nadine. So, Trevor's experimental probability is more likely closer to the theoretical probability.

Step2: Analyze the number of outcomes

The number of outcomes in an experiment is determined by the nature of the experiment (e.g., flipping a coin has 2 outcomes). Doubling the number of trials (sample space, which is the number of times the experiment is conducted) does not change the number of outcomes. Both Nadine and Trevor have the same number of outcomes for their experiments (since they conduct the same type of experiment, just with different numbers of trials).

Answer:

Trevor has more experimental outcomes than Nadine. Trevor's experimental probability is more likely closer to the theoretical probability.