ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Simple map
Simple function
Measurable simple complex function
Random simple number
Random Boolean number
Bernoulli random boolean number
Definition D3999
Standard Bernoulli random boolean number
Formulation 0
A D3628: Random Boolean number $X \in \text{Random} \{ 0, 1 \}$ is a standard Bernoulli random boolean number if and only if \begin{equation} \mathbb{P}(X = 1) = \mathbb{P}(X = 0) = \frac{1}{2} \end{equation}