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

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Manager
Joined: 28 Jul 2016
Posts: 137
Location: India
GPA: 3.97
In order to make the national tennis team, Matt has to play a three  [#permalink]

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30 Jun 2018, 06:34
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0% (00:00) correct 100% (01:34) wrong based on 6 sessions

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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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Manager
Joined: 28 Jul 2016
Posts: 137
Location: India
GPA: 3.97
Re: In order to make the national tennis team, Matt has to play a three  [#permalink]

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30 Jun 2018, 06:35
Bunuel
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Re: In order to make the national tennis team, Matt has to play a three  [#permalink]

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30 Jun 2018, 08:09
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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Posts: 51121
Re: In order to make the national tennis team, Matt has to play a three  [#permalink]

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30 Jun 2018, 09:10
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: https://gmatclub.com/forum/in-order-to- ... 73099.html Hope it helps.
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Re: In order to make the national tennis team, Matt has to play a three &nbs [#permalink] 30 Jun 2018, 09:10
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