Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

It is currently 29 May 2017, 15:28

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The probability that a convenience store has no iced tea is

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2741
Location: New York City
Followers: 11

Kudos [?]: 943 [0], given: 4

The probability that a convenience store has no iced tea is [#permalink]

Show Tags

New post 29 Nov 2007, 14:37
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

69% (01:46) correct 31% (00:41) wrong based on 127 sessions

HideShow timer Statistics

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?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 7/8
[Reveal] Spoiler: OA
1 KUDOS received
Manager
Manager
User avatar
Joined: 18 Jul 2009
Posts: 169
Location: India
Schools: South Asian B-schools
Followers: 2

Kudos [?]: 105 [1] , given: 37

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

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
avatar
Joined: 27 Oct 2008
Posts: 185
Followers: 2

Kudos [?]: 150 [1] , given: 3

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

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
1 KUDOS received
Manager
Manager
avatar
Joined: 08 Sep 2010
Posts: 164
Followers: 0

Kudos [?]: 24 [1] , given: 18

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

New post 17 Jun 2011, 19:48
1
This post received
KUDOS
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.

Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3585
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 576

Kudos [?]: 3989 [0], given: 360

GMAT ToolKit User Premium Member
Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

New post 29 Nov 2007, 14:50
Expert's post
1
This post was
BOOKMARKED
7/8.

p=1-1/2^3(all stores have iced tea)=7/8
Intern
Intern
avatar
Joined: 06 May 2008
Posts: 28
Followers: 0

Kudos [?]: 22 [0], given: 4

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

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
avatar
Joined: 11 Jul 2009
Posts: 8
Followers: 0

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

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

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?
Expert Post
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 39062
Followers: 7756

Kudos [?]: 106573 [0], given: 11628

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

New post 31 Jan 2010, 15:05
Expert's post
1
This post was
BOOKMARKED
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.
_________________

New to the Math Forum?
Please read this: 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?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
User avatar
Joined: 22 Dec 2009
Posts: 359
Followers: 11

Kudos [?]: 389 [0], given: 47

GMAT ToolKit User
Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

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: 135
Followers: 4

Kudos [?]: 5 [0], given: 3

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

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
avatar
Joined: 28 Aug 2010
Posts: 20
Followers: 0

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

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

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
avatar
Joined: 28 Mar 2011
Posts: 34
Followers: 0

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

Re: The probability that a convenience store has no iced tea is [#permalink]

Show Tags

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..
Re: The probability that a convenience store has no iced tea is   [#permalink] 02 May 2011, 07:12
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic Josh spends a total of $5.50 buying N items in the convenience store. reto 3 06 Oct 2016, 02:00
7 Experts publish their posts in the topic The probability that a convenience store has cans of iced BANON 6 03 Dec 2015, 12:41
6 Experts publish their posts in the topic The probability that a convenience store has cans of iced 144144 14 05 Mar 2011, 02:53
2 Experts publish their posts in the topic The probability that a convenience store has cans of iced Praetorian 6 14 Feb 2013, 11:51
76 Experts publish their posts in the topic A convenience store currently stocks 48 bottles of mineral water. The dred 21 09 May 2017, 21:31
Display posts from previous: Sort by

The probability that a convenience store has no iced tea is

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| 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®.