Chapter: Laplace Probability

Laplace (1749-1827) used a simple definition of probability, for which the probability \(p(A)\) of an event is given by the following formula:

\[p(A)=\frac rm=\frac{\text{number of cases favorable for }A}{\text{number of all cases}}.\]

This (classical) definition of probability can only by applied, if we study random experiments fulfilling the following properties:

This chapter is dedicated to Laplace experiments, i.e. experiments fulfilling these two prerequisites. It turns out that in this special case, probability theory is strongly interconnected to combinatorial properties of finite sets.

  1. Definition: Laplace Experiments and Elementary Events

Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs


References

Bibliography

  1. Bosch, Karl: "Elementare Einführung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition