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In: Statistics and Probability

Hazel, Robyn, and Tim all enjoy playing chess. Although all three are good players, Hazel is...

Hazel, Robyn, and Tim all enjoy playing chess. Although all three are good players, Hazel is the

best player, followed by Robyn, and Tim is the weakest player of the three. One evening, Hazel and Robyn want to play chess, but Tim is getting tired of losing. To encourage him to play, Hazel makes the following suggest ion to Tim: "Lets play three games of chess. You must play against either Robyn or I and you must alternate between the two of us ead1 game. I[ you succeed in winning two games in a row, then I will give you $20." ·

Tim asks: "Who do I play first, you or Robyn?"

Hazel replies: "That is entirely up to you."

To maximize his chance of winning two games in a row, which person should Tim choose to play against first?

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