Which opponent sequence would you choose


You are to play a series of three ping-pong games. You will win a prize if you can win at least two games in a row. You have a choice of opponent sequences: either Joe Blow - Champion - Joe Blow, or the sequence Champion - Joe Blow - Champion. Your probability of winning any individual game against Joe Blow is p1, and of winning against the champion is p2 (p1 > p2). Assume all games are independent. Which opponent sequence would you choose?

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Basic Statistics: Which opponent sequence would you choose
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