3
ALMultiple Choice

Probability

Question 3 • CARE_24_25_TX-Mathematical Models with Applications B

When would you expect the experimental probability of an event to be closest to its theoretical probability?

Answer
A
When the results of 10 trials were used in calculating the theoretical probability
B
When the results of 10 trials were used in calculating the experimental probability
C
When the results of 100 trials were used in calculating the experimental probability
D
None of the above, because the experimental probability is unrelated to the theoretical probability.

Explanation

The experimental probability is calculated from observed outcomes, and it tends to get closer to the theoretical probability as the number of trials increases. Using results from 100 trials is more reliable than using results from only 10 trials. Therefore, the correct choice is “When the results of 100 trials were used in calculating the experimental probability.”

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