Consider the sample space comprised of all k! permutations of the symbols a1, . . . , ak, together with the sequences of k symbols

obtained by repeating a given symbol k times. Assign to each permutation the probability 1/(k2(k2))! and each repetition the probability 1/k^2

Let Ai be

the event that the symbol ai occurs in the i-th location. Determine if the events A1, . . . , An are pairwise independent and whether they are jointly independent.