Let $X, Y \in \text{Bernoulli}(1/2)$ each be a D3999: Standard Bernoulli random boolean number such that

(i)	$X, Y$ is an D2713: Independent random collection
(iii)	\begin{equation} Z : = X \end{equation}

Then \begin{equation} \mathbb{E}(X \mid Z) \overset{d}{\neq} \mathbb{E}(Y \mid Z) \end{equation}