14
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Experimental vs. Theoretical Probability

Question 14 • *WHS Pre-Algebra - MA3119 B-CR

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.

Answer
A
Trevor has more experimental outcomes than Nadine.
B
Trevor’s sample space is greater than Nadine’s.
C
Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s.
D
Nadine’s experimental probability is more likely closer to the theoretical probability than Trevor’s.
E
Nadine has more experimental outcomes than Trevor.

Explanation

Trevor performed twice as many trials, so he recorded more experimental outcomes than Nadine; this makes A true. Both conducted the same experiment, which has four possible outcomes, so their sample spaces are the same—not greater for Trevor. With more trials, Trevor’s experimental probability is more likely to be close to the theoretical probability, so C is true.

AI-written and checked against the verified answer.

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