Show that it is optimal to play the weakest opponent second

Reference no: EM131176120

You enter a special kind of chess tournament , in which you play one game with each of three opponents, but you get to choose the order in which you play your opponents, knowing the probability of a win against each. You win the tournament if you win two games in a row, and you want to maximize the probability of winning. Show that it is optimal to play the weakest opponent second , and that the order of playing the other two opponents does not matter.

Reference no: EM131176120

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