Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 19 May 2013, 18:57
Customize  |  Hide

Search
Register
New posts
Unanswered

The probability that a convenience store has no iced tea is

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2797
Location: New York City
Followers: 5

Kudos [?]: 132 [0], given: 4

GMAT Tests User
The probability that a convenience store has no iced tea is [#permalink] New post 29 Nov 2007, 14:37
00:00

Question Stats:

73% (01:51) correct 26% (00:47) wrong based on 1 sessions
The probability that a convenience store has no iced tea is 50%. If Karl is stopping by 3 convenience stores on his way to work, what is the probability that at least one of the stores will not have a can of iced tea?
1 KUDOS received
Manager
Manager
User avatar
Joined: 18 Jul 2009
Posts: 174
Location: India
Schools: South Asian B-schools
Followers: 2

Kudos [?]: 39 [1] , given: 37

GMAT Tests User
Re: probability - at least one [#permalink] New post 25 Jul 2009, 11:32
1
This post received
KUDOS
atleast one ie => 1-(0.5)^3 => 0.875 => 7/8
_________________

Bhushan S.
If you like my post....Consider it for Kudos :-D

1 KUDOS received
Manager
Manager
Joined: 27 Oct 2008
Posts: 188
Followers: 1

Kudos [?]: 42 [1] , given: 3

GMAT Tests User
Re: probability - at least one [#permalink] New post 27 Sep 2009, 02:03
1
This post received
KUDOS
Probability that atleast one store does not have
= 1 - Probability that (all stores have)
= 1 - (1/2) * (1/2) * (1/2)
= 1-(1/8)
= 7/8
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3591
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 230

Kudos [?]: 1298 [0], given: 346

GMAT ToolKit User GMAT Tests User
 [#permalink] New post 29 Nov 2007, 14:50
7/8.

p=1-1/2^3(all stores have iced tea)=7/8
Intern
Intern
Joined: 06 May 2008
Posts: 29
Followers: 0

Kudos [?]: 8 [0], given: 4

Re: probability - at least one [#permalink] New post 11 May 2009, 16:22
Or...

p=p(the three stores don't have IT)+p(two stores don't have IT)+p(one store doesn't has IT)
p=1/2^3+1/2^2+1/2=7/8
Intern
Intern
Joined: 11 Jul 2009
Posts: 9
Followers: 0

Kudos [?]: 0 [0], given: 19

Re: probability - at least one [#permalink] New post 31 Jan 2010, 14:53
bmwhype2 wrote:
The probability that a convenience store has no iced tea is 50%. If Karl is stopping by 3 convenience stores on his way to work, what is the probability that at least one of the stores will not have a can of iced tea?


Even if question is: atleast one of the stores will have a can of iced tea
then the answer remains same. Isn't it?

Can anybody tell that?
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11516
Followers: 1792

Kudos [?]: 9536 [0], given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: probability - at least one [#permalink] New post 31 Jan 2010, 15:05
indir0ver wrote:
bmwhype2 wrote:
The probability that a convenience store has no iced tea is 50%. If Karl is stopping by 3 convenience stores on his way to work, what is the probability that at least one of the stores will not have a can of iced tea?


Even if question is: atleast one of the stores will have a can of iced tea
then the answer remains same. Isn't it?

Can anybody tell that?


Yes it is. 1-1/2^3=7/8. As the probabilities of having and not having the iced tea are 1/2, any "mirror" cases will have the same probabilities.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

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. NEW!!!

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. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Senior Manager
Senior Manager
User avatar
Joined: 22 Dec 2009
Posts: 368
Followers: 9

Kudos [?]: 136 [0], given: 47

GMAT ToolKit User GMAT Tests User
Re: probability - at least one [#permalink] New post 14 Feb 2010, 09:16
bmwhype2 wrote:
The probability that a convenience store has no iced tea is 50%. If Karl is stopping by 3 convenience stores on his way to work, what is the probability that at least one of the stores will not have a can of iced tea?



probability that at least one of the stores will not have a can of iced tea = 1 - probability that all the stores will have a can of iced tea = 1 - (1/2 x 1/2 x 1/2) = 7/8
_________________

Cheers!
JT...........
If u like my post..... payback in Kudos!! :beer

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice|
|For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|


~~Better Burn Out... Than Fade Away~~

Manager
Manager
User avatar
Joined: 02 Jan 2010
Posts: 136
Followers: 3

Kudos [?]: 4 [0], given: 3

Re: probability - at least one [#permalink] New post 08 Sep 2010, 03:07
My first response to this was 1/2*1/2*1/2 = 1/8

Since the probability for having iced tea/not having iced tea is 1/8 then why cant the above be true?
_________________

Regards
Ganesh
Class of 2012
Great Lakes Institute of Management
http://greatlakes.edu.in

Intern
Intern
Joined: 28 Aug 2010
Posts: 21
Followers: 0

Kudos [?]: 2 [0], given: 0

Re: probability - at least one [#permalink] New post 25 Nov 2010, 22:43
at least one of the stores will not have a can of Ice tea = None of the stores will NOT have have a can of Ice tea = all the stores will have a can of Ice tea

50% probability a store does not have a can of Ice tea
therefores 50 % probability that a store will have a can of ice tea

1/2*1/2*1/2 = 1/8 (all have ice tea; 50% = .5 = 1/2)
1-1/8 = 7/8 (at least one store willl not have a can of ice tea)
Intern
Intern
Joined: 28 Mar 2011
Posts: 34
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: probability - at least one [#permalink] New post 02 May 2011, 07:12
Hi,

P(atleast one does not have)= P(one does not have) + P( two don't have) + P(all 3 don't have)

= P(one does not have)*P(2 have) +
P (2 don't have)*P(one has) +
P(all 3 don't have)
= 1/2*1/2*1/2 + 1/4*1/2 + 1/8
= 3/8

Why is it giving me a wrong answer?I know I am missing something. :?

Can someone please explain?

Thanks..
Manager
Manager
Joined: 08 Sep 2010
Posts: 176
Followers: 0

Kudos [?]: 9 [0], given: 18

GMAT Tests User
Re: probability - at least one [#permalink] New post 17 Jun 2011, 19:48
at least 1 doesn't have = 1 doesnt have + 2 don't have + all 3 don't have
= 1/2 + 1/2*1/2 + 1/2*1/2*1/2 = 7/8
_________________

My will shall shape the future. Whether I fail or succeed shall be no man's doing but my own.

If you like my explanations award kudos.

Re: probability - at least one   [#permalink] 17 Jun 2011, 19:48
    Similar topics Author Replies Last post
Similar
Topics:
 New posts In a convenience store in a certain year, the average tyagel 2 18 Oct 2004, 09:07
New posts The probability that a convenience store has no iced tea is Hermione 3 20 Nov 2006, 10:28
New posts 2 EXPERTS_POSTS_IN_THIS_TOPIC The probability that a convenience store has cans of iced Praetorian 6 14 Jun 2010, 09:17
Popular new posts 6 EXPERTS_POSTS_IN_THIS_TOPIC The probability that a convenience store has cans of iced 144144 14 04 Mar 2011, 12:14
New posts 2 EXPERTS_POSTS_IN_THIS_TOPIC The probability that a convenience store has cans of iced BANON 4 06 Mar 2012, 13:26
Display posts from previous: Sort by

The probability that a convenience store has no iced tea is

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com