Question

Which of these numbers of simulations of an event would be most likely to produce results that are closest to those predicted by probability theory?

A) 25
B) 20
C) 15
D) 30

Answer 1

Option D) 30 has the highest number of simulations and would most likely produce results closest to predicted probabilities due to the Law of Large Numbers.

Step-by-step explanation:

The question asks which number of simulations would most likely produce results closest to those predicted by probability theory. The options are 25, 20, 15, and 30 simulations.

The basic principle in probability is that the larger number of trials or simulations conducted, the closer the experimental results will come to the theoretical probability. This is due to the Law of Large Numbers, which states that as the number of trials increases, the experimental probability will tend to get closer to the expected theoretical probability.

Thus, among the options given, the highest number of simulations, which is option D) 30, would most likely produce results closest to those predicted by probability theory because more trials provide a better representation of the true probability.