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A team has a record of 12 wins and 13 losses for the season. [#permalink]

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01 Nov 2009, 04:16

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A team has a record of 12 wins and 13 losses for the season. Three games remain. If the probability of winning each remaining game is 1/2, and there are no draws, what is the probability that the team will finish the season with a winning record ?

the only way the team can end with a winning record is if they win all 3 games.

winning 2 games or less can in no way make wins>losses (which is necessary for condition of winning record).

therefore the probability of ending with a winning record = probability of winning all 3 games = (1/2)*(1/2)*(1/2) = 1/8

Ans: A (1/8)
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All of you got it right, and there are so many ways to reach a probability solution.. here is the official approach given: Total possible outcomes: WWW, WWL, WLW, LWW, LWL, LLW, WLL, LLL. Total 8. Favorable outcomes: WWW. Total 1.

just want to comment on gmattokyo solution: you forget to add the fact that we need 3 wins to get the wining seasons. lets say if they have 12 L and 12 W and 3 to go, all they need is 2 W and the prob is 1/4.

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]

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19 Feb 2014, 05:29

Well the question asks "winning record". If I'm not wrong, winning record would mean winning the last game. Now everyone here is speaking of winning more than 14 games out of a total of 28 or winning 3 consecutive games. However, the question stem never mentions that "winning record" means the team must fulfil either of the two conditions (Winning 3 games consecutively or winning >14 games). If a layman is to be asked, what a "finishing the season with a winning record" means, isn't the expected answer be "Winning the last game". Can I be kindly guided by the experts regarding the ambiguity I'm facing (the ambiguity regardind the question). Thanks a lot in advance

Well the question asks "winning record". If I'm not wrong, winning record would mean winning the last game. Now everyone here is speaking of winning more than 14 games out of a total of 28 or winning 3 consecutive games. However, the question stem never mentions that "winning record" means the team must fulfil either of the two conditions (Winning 3 games consecutively or winning >14 games). If a layman is to be asked, what a "finishing the season with a winning record" means, isn't the expected answer be "Winning the last game". Can I be kindly guided by the experts regarding the ambiguity I'm facing (the ambiguity regardind the question). Thanks a lot in advance

The question implies that winning record is winning more games than loosing. Since the current score is 12:13, then the team must win all of its 3 remaining games in order to achieve that.

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]

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19 Feb 2014, 16:17

Bunuel wrote:

sgangs wrote:

Well the question asks "winning record". If I'm not wrong, winning record would mean winning the last game. Now everyone here is speaking of winning more than 14 games out of a total of 28 or winning 3 consecutive games. However, the question stem never mentions that "winning record" means the team must fulfil either of the two conditions (Winning 3 games consecutively or winning >14 games). If a layman is to be asked, what a "finishing the season with a winning record" means, isn't the expected answer be "Winning the last game". Can I be kindly guided by the experts regarding the ambiguity I'm facing (the ambiguity regardind the question). Thanks a lot in advance

The question implies that winning record is winning more games than loosing. Since the current score is 12:13, then the team must win all of its 3 remaining games in order to achieve that.

Hope it's clear.

Bunuel, I have I doubt. How do we get to know whether its winning the last game or winning more games than losing the last one. I thought the GMAT was trying to lure us to 1/8 but since it asked for winning record (which I understood as winning the last game), it would be independent of the other two. Hence, the ans would be 1/2. I do know that I'm wrong (I'm not questioning the OA, but I simply couldn't get the answer) Either ways, thanks Bunuel for your reply

Well the question asks "winning record". If I'm not wrong, winning record would mean winning the last game. Now everyone here is speaking of winning more than 14 games out of a total of 28 or winning 3 consecutive games. However, the question stem never mentions that "winning record" means the team must fulfil either of the two conditions (Winning 3 games consecutively or winning >14 games). If a layman is to be asked, what a "finishing the season with a winning record" means, isn't the expected answer be "Winning the last game". Can I be kindly guided by the experts regarding the ambiguity I'm facing (the ambiguity regardind the question). Thanks a lot in advance

The question implies that winning record is winning more games than loosing. Since the current score is 12:13, then the team must win all of its 3 remaining games in order to achieve that.

Hope it's clear.

Bunuel, I have I doubt. How do we get to know whether its winning the last game or winning more games than losing the last one. I thought the GMAT was trying to lure us to 1/8 but since it asked for winning record (which I understood as winning the last game), it would be independent of the other two. Hence, the ans would be 1/2. I do know that I'm wrong (I'm not questioning the OA, but I simply couldn't get the answer) Either ways, thanks Bunuel for your reply

Finishing the season with a winning record, at least for me, naturally means winning more games than loosing...
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Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]

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24 Mar 2014, 08:08

I actually overlooked the fact that if they win only two, the third will automatically be a loss, which will increase the total losses. Sigh. Guess I have a looooong way to go...

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]

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02 Aug 2014, 04:56

Bunuel you are correct. Then shouldn't we be looking at keeping more wins than loses? Team as of now has 12 wins and 13 loses. So shouldn't we look for winning 2 games rather than all three so that we just maintain the winning streak. Thinking in these lines i opted for answer 3/8 that is LWW, WLW and WWL. Please let me know where i am going wrong. Thanks in advance.

Bunuel you are correct. Then shouldn't we be looking at keeping more wins than loses? Team as of now has 12 wins and 13 loses. So shouldn't we look for winning 2 games rather than all three so that we just maintain the winning streak. Thinking in these lines i opted for answer 3/8 that is LWW, WLW and WWL. Please let me know where i am going wrong. Thanks in advance.

The team must finish the whole season with a winning record, if it wins 2 and losses 1, then it finishes the season with 14 wins and 14 losses, which is NOT a winning record. Only winning all 3 games guarantees a winning record.

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]

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03 Aug 2014, 00:05

gmattokyo wrote:

A team has a record of 12 wins and 13 losses for the season. Three games remain. If the probability of winning each remaining game is 1/2, and there are no draws, what is the probability that the team will finish the season with a winning record ?

A. 1/8 B. 1/4 C. 3/8 D. 1/2 E. 5/8

I got 1/8. Came up with the same solution as everyone else. Thanks for the question.
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