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In order to make the national tennis team, Matt has to play a three

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In order to make the national tennis team, Matt has to play a three [#permalink] New post   30 Jun 2018, 07:34
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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 are better than Matt's probability of beating Larry

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

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Re: In order to make the national tennis team, Matt has to play a three [#permalink] New post   30 Jun 2018, 07:35
Bunuel
Please help in understanding the official answer.
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Re: In order to make the national tennis team, Matt has to play a three [#permalink] New post   30 Jun 2018, 09:09
But in B Steve’s Probability is not given and with just Larry’s probability, how can we solve the question??

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Re: In order to make the national tennis team, Matt has to play a three [#permalink] New post   30 Jun 2018, 10:10
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globaldesi wrote:
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 are better than Matt's probability of beating Larry

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


Discussed here: in-order-to-make-the-national-tennis-team-matt-173099.html Hope it helps.

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Re: In order to make the national tennis team, Matt has to play a three [#permalink]
30 Jun 2018, 10:10
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