Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

01 Nov 2009, 03:16

2

This post received KUDOS

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

59% (01:43) correct
41% (01:00) wrong based on 307 sessions

HideShow timer Statistics

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)
_________________

Click below to check out some great tips and tricks to help you deal with problems on Remainders! http://gmatclub.com/forum/compilation-of-tips-and-tricks-to-deal-with-remainders-86714.html#p651942

Word Problems Made Easy! 1) Translating the English to Math : http://gmatclub.com/forum/word-problems-made-easy-87346.html 2) 'Work' Problems Made Easy : http://gmatclub.com/forum/work-word-problems-made-easy-87357.html 3) 'Distance/Speed/Time' Word Problems Made Easy : http://gmatclub.com/forum/distance-speed-time-word-problems-made-easy-87481.html

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]

Show Tags

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

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]

Show Tags

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

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]

Show Tags

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...

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

Show Tags

02 Aug 2014, 03:56

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]

Show Tags

02 Aug 2014, 23:05

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.
_________________

......................................................................... +1 Kudos please, if you like my post

gmatclubot

Re: A team has a record of 12 wins and 13 losses for the season.
[#permalink]
02 Aug 2014, 23:05

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...