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#72 Match up
Set by Christopher Dearlove
Consider a game where two players, A and B, play a sequence of rounds. After each round, one of them wins a point. Player A is the better player, winning 2/3 of all rounds, while player B only wins 1/3 of all rounds, all rounds being independent. The game is won by the first player to have won two more points than the other.
Starting level, after two rounds, what is the probability of player A having won the game?
What is the probability of player A eventually winning the game? (Hint: After…
