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? select two options.
trevor has more experimental outcomes than nadine.
trevor’s sample space is greater than nadine’s.
trevor’s experimental probability is more likely closer to the theoretical probability than nadine’s.
nadine’s experimental probability is more likely closer to the theoretical probability than trevor’s.
nadine has more experimental outcomes than trevor.

Explanation:

1. Experimental Outcomes: Trevor doubled the number of trials, so he will record more individual experimental outcomes (results of each trial) than Nadine.
2. Sample Space: The sample space is the set of all possible outcomes of the experiment, which is fixed for the experiment itself, regardless of how many trials are run. So Trevor and Nadine have the same sample space.
3. Experimental vs Theoretical Probability: The Law of Large Numbers states that as the number of trials increases, experimental probability tends to get closer to the theoretical probability. Since Trevor has more trials, his experimental probability is more likely to be closer to the theoretical value.

Answer:

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