ThmDex – An index of mathematical definitions, results, and conjectures.
F9692
Formulation 0
Let $X, A, B \in \text{Random}(\mathbb{R})$ each be a D3161: Random real number such that
(i) \begin{equation} \mathbb{P}(A \leq B) = 1 \end{equation}
Then \begin{equation} \mathbb{P}(X \leq A) \leq \mathbb{P}(X \leq B) \end{equation}