Estimating Probabilities Using Simulation

Why aren't theoretical and experimental results the same?

Results from an experiment don't always match the theoretical results, but they should be close after a large number of trials

What should you notice about the experimental probability after a continuation of repeated samples?

The experimental probability should get closer to the theoretical probability after more samples

Why is it important to run many trials in a simulation?

More trials reduce variability and improve the accuracy of the estimated probability

What’s the Law of Large Numbers

As the number of trials increases, the simulated probability gets closer to the true probability.

How do you estimate the probability from a simulation?

number of successful outcomes/total number of trials