Experiment/Examples/Throwing a 6-Sided Die

Example of Experiment
Let $\mathcal E$ be the experiment of throwing a standard $6$-sided die, to see whether the number thrown is greater than $4$.


 * The sample space of $\mathcal E$ is $\Omega = \set {1, 2, 3, 4, 5, 6}$.


 * The event space of $\mathcal E$ is: $\Sigma = \set {\forall \omega \in \Omega: \omega > 4}$.


 * The probability measure is defined as:
 * $\forall \omega \in \Omega: \map \Pr \omega = \dfrac 1 6$