In an election, candidate A receives n votes and candidate B receives m votes, where n>m. Assume that in the count of the votes all possible orderings of the n + m votes are equally likely. Let Pn,m denote the probability that from the first vote on A is always in the lead. Find (a) P2,1 (b) P3,1 (c) Pn,1 (d) P3,2 (e) P4,2 (f) Pn,2 (g) P4,3 (h) P5,3 (i) P5,4 (j) Make a conjecture as to the value of Pn,m