Limit Theorems in Probability

We cannot predict which side up a flipped coin will land. However, the results of this experiment, even though they seem to be absolutely chaotic, are subject to certain laws. One of them - the Law of Large Numbers. It says that in a long series of independent repeated random experiments the frequency of a random event approaches its probability. For practical purposes it is useful to know the rate of this convergence.

The other remarkable result in the classical probability theory is the de Moivre-Laplace Limit Theorem, which states that the distribution law of the difference between frequency and probability approaches the normal distribution.

The model confirms these theorems experimentally.