Eight players P1, P2, ⋯,P8 paly a knock - out tournament. It is know – InterviewSolution

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1.	Eight players P1, P2, ⋯,P8 paly a knock - out tournament. It is known that whenever the players Pi and Pj play, the player Pi will win if i < j. Assuming that the players are paired at random in each round, what is the probability that the player P4 reaches the final?
Answer» Eight players $P_{1}, P_{2}, \dots, P_{8}$ paly a knock - out tournament. It is known that whenever the players $P_{i} a n d P_{j}$ play, the player $P_{i}$ will win if i < j. Assuming that the players are paired at random in each round, what is the probability that the player $P_{4}$ reaches the final?

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