Players 1, 2, 3 are playing a tournament. Two of these three players are randomly chosen to
Question:
Players 1, 2, 3 are playing a tournament. Two of these three players are randomly chosen to play a game in round one, with the winner then playing the remaining player in round two. The winner of round two is the tournament victor. Assume that all games are independent and that wins when playing against with probability i/i+j.
a. Find the probability that is the tournament victor.
b. If is the tournament victor, find the conditional probability that did not play in round one.
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a To find the probability that player 1 is the tournament victor we need to consider the different w...View the full answer
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