Which situation best describes why an experimental probability would be different than theoretical?

Responses
A The person perform the experimental probability often performs the experiment too many times.The person perform the experimental probability often performs the experiment too many times.
B The person performing the experiment will often calculate the theoretical incorrectly. The person performing the experiment will often calculate the theoretical incorrectly.
C The person performing the experiment will often calculate the theoretical incorrectly. The person performing the experiment will often calculate the theoretical incorrectly.
D The experimental probabilities being performed more frequently gets closer to the theoretical probability outcome.

1 answer

The situation that best describes why experimental probability might differ from theoretical probability is:

D: The experimental probabilities being performed more frequently gets closer to the theoretical probability outcome.

This option acknowledges that, as experiments are conducted more often, the experimental probability tends to converge toward the theoretical probability due to the law of large numbers. Thus, while experimental and theoretical probabilities may differ in smaller samples, larger sample sizes generally yield experimental probabilities that are closer to the theoretical values.