One of 12 wards, A to L, is to be selected for an inspection. A computer generates a two-digit random integer from 00 to 99, with every integer equally likely. The officer assigns eight integers to each of A to K and assigns the remaining twelve integers to L.
Show that this method does not give every ward the same probability of selection.
Describe a corrected method using the same generator that gives every ward the same probability of selection.
Find the probability that a specified ward is eventually selected using your corrected method.