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Players A and B play a series of games. Each game is independently won by player A with probability a > 0, won by player
Players A and B play a series of games. Each game is independently won by player A with probability a > 0, won by player B with probability b > 0 or results in a draw with probability c > 0, a + b + c =1. For fixed m E Z with m 2 0 and n E Z with n > 1, let pm,n denote the probability that A wins m games before B wins n games. Define Pm,o = 0, m 2 0. Which of these statements are true? Select one or more: O a. Po,1 = atb O b. Po,1 = atb O c. Po,1 = 14c O d. Po,1 = b
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