I am working on the following exercise:
Let $X_1, X_2, X_3$ be independent RVs uniformly distributed on $\{1,\ldots , n\}$ and let $Y = \max \{X_1, X_2, X_3\}$. Write an expression for $H(Y)$.
The maximum here confuses me, I do not know how to start. Could you help me?