Example 5.2.2. Success vs Failure.
When dealing with only two outcomes, one might use
\begin{equation*}
S = \text{{ success, failure }}.
\end{equation*}
Choose
\begin{gather*}
X( \text{success})=1\\
X( \text{failure})=0.
\end{gather*}
Then, \(R\) = {0,1}.