Question

nadine conducted an experiment with four possible outcomes. trevor conducted the same experiment, but he obtained 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. Sample Space: Both conduct the same experiment with 4 possible outcomes, so their sample spaces are equal. So "Trevor’s sample space is greater than Nadine’s" is false.
2. Experimental Outcomes: Trevor did more trials (since Nadine had some number, Trevor did the same experiment with more trials, so he has more experimental outcomes). So "Trevor has more experimental outcomes than Nadine" is true.
3. Experimental Probability and Theoretical Probability: The law of large numbers states that as the number of trials increases, the experimental probability approaches the theoretical probability. Since Trevor has more trials, his experimental probability is closer to the theoretical probability than Nadine’s. So "Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s" is true. "Nadine’s experimental probability is more likely closer to the theoretical probability than Trevor’s" is false. "Nadine has more experimental outcomes than Trevor" is false (since Trevor has more trials).

So the two true statements are:

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

Answer:

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