Tennis
Source: Kürschák 2005, problem 2
July 13, 2014
probabilitycombinatorics unsolvedcombinatoricsProbability CombinatoricsProbabilistic Method
Problem Statement
A and B play tennis. The player to first win at least four points and at least two more than the other player wins. We know that A gets a point each time with probability , independent of the game so far. Prove that the probability that A wins is at most .