Abstract: In this paper, the relation between the independence of events and the probabilities of them is discussed from a series of mathematical experiments.We mainly focus on the case of continuous events. A typical example was given from correlation to independence.Our results show that there is a process from quantitative changes to qualitative changes for the correlation of events.

Key words: continuous events, ndependence, from quantitative change to qualitative change, MonteCarlo methods, continuous events, ndependence, from quantitative change to qualitative change