## In order to make the national tennis team, Matt has to play a three-game series against Larry and Steve, and in doing so

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### In order to make the national tennis team, Matt has to play a three-game series against Larry and Steve, and in doing so

by Gmat_mission » Sun Apr 11, 2021 11:23 am

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In order to make the national tennis team, Matt has to play a three-game series against Larry and Steve, and in doing so win two games in a row. He's given a choice, however: he can choose the order in which he plays against his opponents but cannot play the same opponent in consecutive games (so he could play Larry-Steve-Larry OR Steve-Larry-Steve). Assuming that Matt chooses the three-game sequence that maximizes his probability of making the national team, is his probability of making the team greater than 51%?

(1) Matt's probability of beating Steve is better than Matt's probability of beating Larry

(2) The probability that Matt beats Larry is 30%.