Definition:Equiprobability Space

Definition
An equiprobability space is a finite probability space $\left({\Omega, \Sigma, \Pr}\right)$ with equiprobable outcomes.

That is, for all $\omega_i, \omega_j \in \Omega$:
 * $\Pr \left({\omega_i}\right) = \Pr \left({\omega_j}\right)$

From Probability Measure on Equiprobable Outcomes, we have that:
 * $\forall \omega \in \Omega: \Pr \left({\omega}\right) = \dfrac 1 n$
 * $\forall A \subseteq \Omega: \Pr \left({A}\right) = \dfrac {\left|{A}\right|} n$