Proof
Assume that you have a variable with space \(R\) = {1, 2, 3, ..., n} so that the likelihood of each value is equally likely. Then, the probability function satisfies \(f(x) = c\) for any \(x \in R\text{.}\) As before, since \(\sum_{x \in R} f(x) = 1\text{,}\) then
\begin{equation*}
f(x) = \frac{1}{n}.
\end{equation*}