Let $X, Y \in \text{Bernoulli}(1 / 2)$ each be a D207: Bernoulli random boolean number such that
| (i) | $X, Y$ is an D2713: Independent random collection |
Then
\begin{equation}
\mathbb{P}(X = Y)
= \frac{1}{2}
= \mathbb{P}(X \neq Y)
\end{equation}