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

It is currently 24 May 2013, 17:21
Customize  |  Hide

Search
Register
New posts
Unanswered

Laura has a deck of standard playing cards with 13 of the 52

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Manager
Manager
Joined: 24 Jul 2009
Posts: 84
Location: United States
GMAT 1: 590 Q48 V24
Followers: 2

Kudos [?]: 29 [0], given: 123

Laura has a deck of standard playing cards with 13 of the 52 [#permalink] New post 15 Nov 2009, 22:28
00:00

Question Stats:

63% (01:39) correct 36% (01:04) wrong based on 3 sessions
Laura has a deck of standard playing cards with 13 of the 52 cards designated as a "heart." If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?

(A) 1/4
(B) 1/5
(C) 5/26
(D) 12/42
(E) 13/42
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Nov 2012, 03:27, edited 1 time in total.
Renamed the topic and edited the question.
4 KUDOS received
GMAT Instructor
Joined: 24 Jun 2008
Posts: 973
Location: Toronto
Followers: 168

Kudos [?]: 443 [4] , given: 3

GMAT Tests User
Re: Probability: Playing Cards [#permalink] New post 16 Nov 2009, 03:13
4
This post received
KUDOS
Every card has a 13/52 = 1/4 chance of being a heart; it doesn't matter if it's the top card in the deck or the tenth card in the deck.
_________________

Nov 2011: After years of development, I am now making my advanced Quant books and high-level problem sets available for sale. Contact me at ianstewartgmat at gmail.com for details.

Private GMAT Tutor based in Toronto

Manager
Manager
Joined: 24 Jul 2009
Posts: 84
Location: United States
GMAT 1: 590 Q48 V24
Followers: 2

Kudos [?]: 29 [0], given: 123

Re: Probability: Playing Cards [#permalink] New post 16 Nov 2009, 06:47
Thank you Ian,
You and Bunuel make math problems sound so simple. Kudos.
Intern
Intern
Joined: 29 Aug 2012
Posts: 27
Schools: Babson '14
GMAT Date: 02-28-2013
Followers: 0

Kudos [?]: 0 [0], given: 56

Re: Probability: Playing Cards [#permalink] New post 27 Nov 2012, 14:05
and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?



WHAT does this statement implies that 10 cards are withdrawn with replacement or without replacement ??
1 KUDOS received
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11611
Followers: 1801

Kudos [?]: 9596 [1] , given: 829

GMAT Tests User CAT Tests
Top Member of the Month
Re: Probability: Playing Cards [#permalink] New post 28 Nov 2012, 04:11
1
This post received
KUDOS
himanshuhpr wrote:
and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?



WHAT does this statement implies that 10 cards are withdrawn with replacement or without replacement ??


No replacement there, 10 cards are dealt and we are asked to find the probability that 10th card is a heart.

Similar questions to practice:
a-certain-team-has-12-members-including-joey-a-three-131321.html
a-certain-television-show-has-15-sponsors-including-company-127423.html
a-medical-researcher-must-choose-one-of-14-patients-to-127396.html
a-certain-class-consists-of-8-students-including-kim-127730.html
a-certain-club-has-10-members-including-harry-one-of-the-134891.html
_________________

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

Intern
Intern
Joined: 29 Aug 2012
Posts: 27
Schools: Babson '14
GMAT Date: 02-28-2013
Followers: 0

Kudos [?]: 0 [0], given: 56

Re: Probability: Playing Cards [#permalink] New post 28 Nov 2012, 08:30
Bunuel wrote:
himanshuhpr wrote:
and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?



WHAT does this statement implies that 10 cards are withdrawn with replacement or without replacement ??


No replacement there, 10 cards are dealt and we are asked to find the probability that 10th card is a heart.



If there is no replacement then how is the (P) that the 10th card is 13/52 ??

there are many cases here to be considered here if there is no replacement such as:

H- Denotes heart X-may be any diamond, spade or club.

1. HXXXXXXXXH
2. HHXXXXXXXH
3. HHHXXXXXXH
.
.
.
.
.
9. HHHHHHHHHH
10. XXXXXXXXXH

All cases from 1 to 10 will have different probabilities for heart to be at the 10th place and it will take hell lot of time to calculate all of them.

For according to me the above solution by Ian is only valid if cards are replaced (Every card has a 13/52 = 1/4 chance of being a heart; it doesn't matter if it's the top card in the deck or the tenth card in the deck.)If that's the case that brings back me to my original question ---- how do we determine that the cards are replaced or not ?? based on the question given ....
1 KUDOS received
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11611
Followers: 1801

Kudos [?]: 9596 [1] , given: 829

GMAT Tests User CAT Tests
Top Member of the Month
Re: Probability: Playing Cards [#permalink] New post 29 Nov 2012, 04:51
1
This post received
KUDOS
himanshuhpr wrote:
Bunuel wrote:
himanshuhpr wrote:
and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?



WHAT does this statement implies that 10 cards are withdrawn with replacement or without replacement ??


No replacement there, 10 cards are dealt and we are asked to find the probability that 10th card is a heart.



If there is no replacement then how is the (P) that the 10th card is 13/52 ??

there are many cases here to be considered here if there is no replacement such as:

H- Denotes heart X-may be any diamond, spade or club.

1. HXXXXXXXXH
2. HHXXXXXXXH
3. HHHXXXXXXH
.
.
.
.
.
9. HHHHHHHHHH
10. XXXXXXXXXH

All cases from 1 to 10 will have different probabilities for heart to be at the 10th place and it will take hell lot of time to calculate all of them.

For according to me the above solution by Ian is only valid if cards are replaced (Every card has a 13/52 = 1/4 chance of being a heart; it doesn't matter if it's the top card in the deck or the tenth card in the deck.)If that's the case that brings back me to my original question ---- how do we determine that the cards are replaced or not ?? based on the question given ....


When we have a case with replacement it's always clearly mentioned in the question. We are told that "Laura deals 10 cards off the top of the deck", which means that there is no replacement whatsoever.

As for the question, concept behind it is discussed in the topics given in my previous post.
_________________

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

Re: Probability: Playing Cards   [#permalink] 29 Nov 2012, 04:51
    Similar topics Author Replies Last post
Similar
Topics:
 New posts You are given a deck of standard playing cards with 13 of AkamaiBrah 7 16 Jul 2003, 02:01
New posts In a deck of cards there are 52 cards numbered from 1 to 13. sperumba 2 28 Jan 2006, 09:01
Popular new posts Bill has a standard deck of 52 playing cards made up of 4 Pokhran II 16 14 Nov 2006, 12:54
New posts 1 EXPERTS_POSTS_IN_THIS_TOPIC Two cards are drawn successively from a standard deck of 52 GMATMadeeasy 8 08 Jan 2010, 17:29
Popular new posts 19 EXPERTS_POSTS_IN_THIS_TOPIC Bill has a small deck of 12 playing cards maheshsrini 28 18 Jun 2010, 22:47
Display posts from previous: Sort by

Laura has a deck of standard playing cards with 13 of the 52

  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