A simulation based teaching method to explain the concept of probability theory; an alternative learning method

Abstract

Abstract A concept of defining classical probability is often based on the equally likely outcome assumption of an experiment, so the experiment should be based on the equality outcome of media or tool used. If the equality assumption is not met then the alternative for defining probability is done by using the concept of relative frequency. The concept of a relative frequency means that the probability of an event is the proportion of the event occurred in an experiment with infinite trials. Mathematically If P(A) denotes a probability of event A, f(A) denotes the frequency of event A occurred, and n denotes the number of trials in an experiment, then P(A) = lim n→∞ fA / n , assumed the limit exists. This paper proves the existence of limit for the relative frequency as the number of trials goes infinitely through simulation. This simulation can finally be used as an alternative learning method in understanding the concept of probability.