Probabilities - Fundamental concepts

The article [AF 165] "Probabilités. Presentation" provides a history and description of the development of the random science of probability. It also provides a number of examples of how probability can be used to model many of the phenomena that engineers deal with on a daily basis (queuing, rupture, turbulence, financial mathematics, etc.).

This article introduces all the basic concepts of probability theory and provides an introduction to probabilistic reasoning. Probability theory can only be constructed axiomatically using the theory of measurement and integration. In this text, we will only give you the elements you need to understand it properly, without requiring any prerequisites in this field. The modern tools of stochastic calculus and Monte Carlo methods specific to simulation will be developed in other articles.