Definition:Equiprobable Outcomes
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Definition
Let $\struct {\Omega, \Sigma, \Pr}$ be a finite probability space.
Let $\Omega = \set {\omega_1, \omega_1, \ldots, \omega_n}$.
Suppose that $\map \Pr {\omega_i} = \map \Pr {\omega_j}$ for all the $\omega_i, \omega_j \in \Omega$.
Then from Probability Measure on Equiprobable Outcomes:
- $\forall \omega \in \Omega: \map \Pr \omega = \dfrac 1 n$
- $\forall A \subseteq \Omega: \map \Pr A = \dfrac {\card A} n$
Such a probability space is said to have equiprobable outcomes, and is sometimes referred to as an equiprobability space.
Sources
- 1986: Geoffrey Grimmett and Dominic Welsh: Probability: An Introduction ... (previous) ... (next): $1$: Events and probabilities: $1.5$: Discrete sample spaces: Example $17$