In an election, candidate A receives n votes and candidate B receives m votes, where n >

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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 P, denote the probability that from the first vote on A is always in the lead. Find

(a) P2,1

(f) Pn, 2

(b) P,1 (g) P4,3

(c) P.1 (h) Pss

(d) P3,2

(e) P4,2 (i) P5,4 (j) Make a conjecture as to the value of Pn.m.

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