Let $Z \in \mathsf{N}(0, 1)$ be a D211: Standard gaussian random real number.
Let $X_0, X_1, X_2 \in \mathsf{Random}(\mathbb{R})$ each be a D3161: Random real number such that

(i)	\begin{equation} X_0 : = Z \end{equation}
(ii)	\begin{equation} X_1 : = Z \end{equation}
(iii)	\begin{equation} X_2 : = - Z \end{equation}

Let $a \in \mathbb{R}$ be a D993: Real number.

Then

(1)	\begin{equation} X_0 \overset{d}{=} X_1 \overset{d}{=} X_2 \end{equation}
(2)	\begin{equation} \mathbb{P}(X_0 \leq a, X_1 \leq a) \neq \mathbb{P}(X_1 \leq a, X_2 \leq a) \end{equation}