Statistical regularity

Statistical regularity is a notion in statistics that if, for example, one throws a die once, it is difficult to predict the outcome, but if we repeat this experiment many times, we will see that the number of times each result occurs divided by the number of throws will eventually stabilize towards a specific value.

Repeating a series of trials will produce similar, but not identical, results for each series. This phenomenon is called statistical regularity.

The same idea occurs in games of chance, demographic statistics, quality control of a manufacturing process, and in many other parts of our lives.

Observations of this phenomenon provided the initial motivation for the concept of what is now known as frequency probability.

This phenomenon should not be confused with the Gambler's fallacy.