ThmDex – An index of mathematical definitions, results, and conjectures.
F10093
Formulation 0
A D5107: Triple $P = (\Omega, \mathcal{F}, \mathbb{P})$ is the standard single boolean trial probability space if and only if
(i) \begin{equation} \Omega = \{ 0, 1 \} \end{equation}
(ii) \begin{equation} \mathcal{F} = \{ \emptyset, \{ 0 \}, \{ 1 \}, \{ 0, 1 \} \} \end{equation}
(iii) \begin{equation} \mathbb{P} \{ 0 \} = \mathbb{P} \{ 1 \} = \frac{1}{2} \end{equation}