Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 18 Aug 2009
Posts: 295

A team has a record of 12 wins and 13 losses for the season. [#permalink]
Show Tags
01 Nov 2009, 04:16
2
This post received KUDOS
7
This post was BOOKMARKED
Question Stats:
58% (00:43) correct 42% (01:06) wrong based on 387 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 ? A. 1/8 B. 1/4 C. 3/8 D. 1/2 E. 5/8
Official Answer and Stats are available only to registered users. Register/ Login.
Attachments
clubPlaceholder.JPG [ 20.55 KiB  Viewed 7159 times ]
Last edited by Bunuel on 11 Dec 2013, 02:13, edited 1 time in total.
Renamed the topic, edited the question and added the OA.



Manager
Joined: 22 Jul 2008
Posts: 93
Location: Bangalore,Karnataka

Re: Probability of team's winning [#permalink]
Show Tags
01 Nov 2009, 04:25
must be 1/8 since there are three games left and each game's win probability is 1/2 for three games its 1/8 (A)



Senior Manager
Joined: 18 Aug 2009
Posts: 295

Re: Probability of team's winning [#permalink]
Show Tags
01 Nov 2009, 04:44
kirankp wrote: must be 1/8 since there are three games left and each game's win probability is 1/2 for three games its 1/8 (A) hmm.. the answer is correct, but the derivation is not hint: think of the possible scenarios with the 3 games



Manager
Joined: 29 Oct 2009
Posts: 208

Re: Probability of team's winning [#permalink]
Show Tags
01 Nov 2009, 05:02
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/compilationoftipsandtrickstodealwithremainders86714.html#p651942
Word Problems Made Easy! 1) Translating the English to Math : http://gmatclub.com/forum/wordproblemsmadeeasy87346.html 2) 'Work' Problems Made Easy : http://gmatclub.com/forum/workwordproblemsmadeeasy87357.html 3) 'Distance/Speed/Time' Word Problems Made Easy : http://gmatclub.com/forum/distancespeedtimewordproblemsmadeeasy87481.html



Senior Manager
Joined: 18 Aug 2009
Posts: 295

Re: Probability of team's winning [#permalink]
Show Tags
03 Nov 2009, 00:19
anyone else wants to give it a try before the OA?



Joined: 31 Dec 1969
Location: Russian Federation
Concentration: Entrepreneurship, International Business
GMAT 3: 740 Q40 V50 GMAT 4: 700 Q48 V38 GMAT 5: 710 Q45 V41 GMAT 6: 680 Q47 V36 GMAT 9: 740 Q49 V42 GMAT 11: 500 Q47 V33 GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

Re: Probability of team's winning [#permalink]
Show Tags
03 Nov 2009, 07:37
IMO 1/8
As the team will win the series only by winnning three games(even if it wins 2 or 1 game it will lose)
What is the OA



Senior Manager
Joined: 18 Aug 2009
Posts: 295

Re: Probability of team's winning [#permalink]
Show Tags
07 Nov 2009, 08:53
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.
Probablity=1/8



Manager
Joined: 27 Oct 2009
Posts: 137
Location: Montreal
Schools: Harvard, Yale, HEC

Re: Probability of team's winning [#permalink]
Show Tags
07 Nov 2009, 10:05
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.



Current Student
Joined: 06 Sep 2013
Posts: 1949
Concentration: Finance

Re: Probability of team's winning [#permalink]
Show Tags
10 Dec 2013, 10:16
sriharimurthy wrote: 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) I too agree with this approach. They obviously need to win the three games. Hence, answer is (A) Cheers! J



Intern
Joined: 20 Nov 2013
Posts: 11
Location: Italy
Concentration: International Business, Strategy
GPA: 3.6

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
Show Tags
11 Dec 2013, 04:55
The team will have a positive record only by winning all the three matches remained. So it's just 1/2^3 right?
Answer A



Math Expert
Joined: 02 Sep 2009
Posts: 44319

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
Show Tags
11 Dec 2013, 04:57



Manager
Status: Work hard in silence, let success make the noise
Joined: 25 Nov 2013
Posts: 154
Location: India
Concentration: Finance, General Management
GMAT 1: 540 Q50 V15 GMAT 2: 640 Q50 V27
GPA: 3.11
WE: Consulting (Computer Software)

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
Show Tags
11 Dec 2013, 05:43
All the 3 games need to be won in order to get a winning streak. So, required probability = 1/2 * 1/2 * 1/2 = 1/8 So, the correct answer is A.
_________________
Sahil Chaudhary If you find this post helpful, please take a moment to click on the "+1 KUDOS" icon. My IELTS 7.5 Experience From 540 to 640...Done with GMAT!!! http://www.sahilchaudhary007.blogspot.com



Intern
Joined: 23 Aug 2013
Posts: 45

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



Math Expert
Joined: 02 Sep 2009
Posts: 44319

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
Show Tags
19 Feb 2014, 09:51
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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 23 Aug 2013
Posts: 45

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



Math Expert
Joined: 02 Sep 2009
Posts: 44319

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
Show Tags
20 Feb 2014, 00:38
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...
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 22 Feb 2014
Posts: 2

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



Manager
Joined: 28 May 2014
Posts: 60

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



Math Expert
Joined: 02 Sep 2009
Posts: 44319

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
Show Tags
02 Aug 2014, 10:09



Manager
Joined: 22 Feb 2009
Posts: 206

Re: A team has a record of 12 wins and 13 losses for the season. [#permalink]
Show Tags
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.
_________________
......................................................................... +1 Kudos please, if you like my post




Re: A team has a record of 12 wins and 13 losses for the season.
[#permalink]
03 Aug 2014, 00:05



Go to page
1 2
Next
[ 21 posts ]



