Definition: Laplace Experiments and Elementary Events
A Laplace experiment is a random experiment, with the following properties:
- The probability space \(\Omega=\{\omega_1,\omega_2,\ldots,\omega_n\}\) is finite.
- The events \(\omega_i\) are elementary, which means that they do not consist of other events, i.e. \(\omega_i\in\Omega\), but not \(\omega_i\subseteq\Omega\) for all \(i=1,\ldots, n\).
- Each element of has \(\Omega\) the same probability, i.e \(p(\omega_i)=p=const.\) for all \(\omega_i\in\Omega\).
Note, that elementary events are always mutually exclusive.
Table of Contents
Examples: 1 Corollaries: 1
Mentioned in:
Corollaries: 1
Problems: 2 3
Proofs: 4 5 6
Propositions: 7 8
Solutions: 9
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References
Bibliography
- Bosch, Karl: "Elementare Einführung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition
