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 larger the number of trials (sample size), the closer the experimental probability is to the theoretical probability. Trevor doubled the number of trials (sample space is greater than Nadine's). So Trevor's experimental probability is more likely closer to the theoretical probability.

Step2: Analyze each statement

• "Nadine has more experimental outcomes than Trevor": No, Trevor has more trials (outcomes as he doubled the number).
• "Trevor's experimental probability is more likely closer to the theoretical probability than Nadine's": Yes, because Trevor has a larger sample size (more trials).
• "Trevor has more experimental outcomes than Nadine": Yes, as he doubled the number of trials.
• "Nadine's experimental probability is more likely closer to the theoretical probability than Trevor's": No, opposite is true.
• "Trevor's sample space is greater than Nadine's": Yes, since he doubled the experiment (more trials mean larger sample - related to outcomes in the context of experiments here).

Answer:

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