Suppose that a die has \(n\) sides. Compute the probability that:

1.  the maximum of the two numbers rolled is less than or equal to 2;
2. the maximum of the two numbers rolled is less than or equal to \( i \in  \{1,\dots, n\} \);
3. the maximum of the two numbers rolled is equal to \( i \in \{1,\dots,n\}\).