ThmDex – An index of mathematical definitions, results, and conjectures.
F11996
Formulation 0
A D3628: Random Boolean number $X \in \text{Random} \{ 0, 1 \}$ is a Bernoulli random boolean number with parameter $\theta \in [0, 1]$ if and only if
(1) \begin{equation} \mathbb{P}(X = 1) = \theta \end{equation}
(2) \begin{equation} \mathbb{P}(X = 0) = 1 - \theta \end{equation}