Definition:Equiprobability Space
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Definition
An equiprobability space is a finite probability space $\struct {\Omega, \Sigma, \Pr}$ with equiprobable outcomes.
That is, for all $\omega_i, \omega_j \in \Omega$:
- $\map \Pr {\omega_i} = \map \Pr {\omega_j}$
From Probability Measure on Equiprobable Outcomes, we have that:
- $\forall \omega \in \Omega: \map \Pr \omega = \dfrac 1 n$
- $\forall A \subseteq \Omega: \map \Pr A = \dfrac {\card A} n$