Corollary: Probability of Laplace Experiments

(related to Definition: Laplace Experiments and Elementary Events)

Let \(\Omega=\{\omega_1,\omega_2,\ldots,\omega_n\}\) be the finite probability space of a given Laplace experiment. Then

\[p(\omega_i)=\frac 1n~~~~~~~~~~~~(i=1,\ldots n).\]

For any event \(A\subseteq\Omega\), we have

\[p(A)=\frac{\text{# possible outcomes of }A}{\text{# possible outcomes of }\Omega}=\frac {|A|}{|\Omega|}.\]

Proofs: 1

Proofs: 1 2


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References

Bibliography

  1. Bosch, Karl: "Elementare Einf├╝hrung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition