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A team has a record of 12 wins and 13 losses for the season. [#permalink]
01 Nov 2009, 03:16

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Difficulty:

35% (medium)

Question Stats:

58% (01:37) correct
42% (01:02) wrong based on 149 sessions

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 ?

Re: Probability of team's winning [#permalink]
07 Nov 2009, 07:53

1

This post received KUDOS

Oops forgot to post the OA for this one: A

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.

Re: Probability of team's winning [#permalink]
07 Nov 2009, 09:05

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]
19 Feb 2014, 04:29

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

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
19 Feb 2014, 08:51

Expert's post

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.

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
19 Feb 2014, 15:17

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

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
19 Feb 2014, 23:38

Expert's post

sgangs wrote:

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

Finishing the season with a winning record, at least for me, naturally means winning more games than loosing... _________________

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
24 Mar 2014, 07:08

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...

gmatclubot

Re: A team has a record of 12 wins and 13 losses for the season.
[#permalink]
24 Mar 2014, 07:08