Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Oct 2014, 00:51

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A certain store sells small, medium, and large toy trucks i

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 929
Followers: 12

Kudos [?]: 312 [0], given: 543

A certain store sells small, medium, and large toy trucks i [#permalink] New post 08 Jan 2013, 04:36
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

56% (02:08) correct 44% (01:14) wrong based on 125 sessions
A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?

A. 1/4
B. 1/3
C. 1/2
D. 7/12
E. 2/3
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Expert Post
9 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Status: Preparing for the another shot...!
Joined: 03 Feb 2011
Posts: 1425
Location: India
Concentration: Finance, Marketing
GPA: 3.75
Followers: 129

Kudos [?]: 645 [9] , given: 62

GMAT ToolKit User Premium Member
Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 08 Jan 2013, 05:04
9
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
fozzzy wrote:
A certain store sells small, medium, and large toy trucks in each of the colors red, blue green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?

A. 1/4
B. 1/3
C. 1/2
D 7/12
E. 2/3


let there be x number of trucks of all possible color-size combination.
probability that the truck she selects will have at least one of the two features Paul wants can be found by subtracting the probability of selecting a truck that doesn't has either of the property i.e. it is neither red in color nor of medim size from 1.

In the diagram attached, the I crossed off all the desired results i.e. cancelled all the possible combination of red-medium.
# of remaining outcomes= # of blue circles = # of trucks that don't have either of the desired property.

No. of colors=4
no. of sizes=3
Total outcomes=12

Remaining outcomes=6
hence probability that truck is neither red nor of medium size is 6/12.
hence probability that the truck she selects will have at least one of the two features Paul wants will be 1 - 6/12 or 1/2
+1C
Attachments

probability.png
probability.png [ 9.42 KiB | Viewed 3191 times ]


_________________

Prepositional Phrases Clarified|Elimination of BEING| Absolute Phrases Clarified
Rules For Posting
www.Univ-Scholarships.com

Director
Director
avatar
Joined: 29 Nov 2012
Posts: 929
Followers: 12

Kudos [?]: 312 [0], given: 543

Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 08 Jan 2013, 06:53
Great Explanation! Thanks!
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Manager
Manager
avatar
Joined: 18 Oct 2011
Posts: 92
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Followers: 2

Kudos [?]: 24 [0], given: 0

Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 08 Jan 2013, 08:05
Assume there are 1 of each giving - 3 sizes x 4 colours = 12 trucks

Since the q is asking for "at least one" (medium truck or red truck) let's calculate probability of selecting neither a red or medium truck and subtract from 1

Therefore - 1 - 6/12 = 1/2
Answer: C
Expert Post
3 KUDOS received
Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2441
Followers: 311

Kudos [?]: 2615 [3] , given: 696

Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 08 Jan 2013, 08:22
3
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
The key is to take in account whenever see you the word AT Least is to subtract the other probability from 1

In this case you DO NO want the large and the small size so 2/3AND (means *) the other colors so3/4

From this 1 - 2/3 * 3/4 = 1 - 6/12 = 6/12 = 1/2
_________________

COLLECTION OF QUESTIONS
Quant: 1. Bunuel Signature Collection - The Next Generation 2. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 3. Veritas Prep Blog PDF Version
Verbal:1. Best EXTERNAL resources to tackle the GMAT Verbal Section 2. e-GMAT's ALL CR topics-Consolidated 3. New Critical Reasoning question bank by carcass 4. Meaning/Clarity SC Question Bank by Carcass_Souvik 5. e-GMAT's ALL SC topics-Consolidated-2nd Edition 6. The best reading to improve Reading Comprehension 7.Verbal question bank and Directories

Intern
Intern
avatar
Joined: 09 Jan 2013
Posts: 16
Concentration: Entrepreneurship, Sustainability
Schools: NUS '15
GMAT 1: 650 Q45 V34
GRE 1: 1440 Q790 V650
GPA: 3.76
WE: Other (Pharmaceuticals and Biotech)
Followers: 1

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

Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 27 Jan 2013, 04:24
fozzzy wrote:
A certain store sells small, medium, and large toy trucks in each of the colors red, blue green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?

A. 1/4
B. 1/3
C. 1/2
D 7/12
E. 2/3


Please add a comma between blue and green. I mistook it as 1 category!
CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 2831
Followers: 206

Kudos [?]: 42 [0], given: 0

Premium Member
Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 07 Mar 2014, 19:21
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
avatar
Joined: 12 Sep 2014
Posts: 43
Followers: 0

Kudos [?]: 0 [0], given: 50

Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 08 Oct 2014, 16:05
I went with 1/2. I think the simplest way is to calculate 1 - P (0 features being chosen).
P (0 features) = 2/3 (the other two sizes) times 3/4 (the other two colors) = 1/2
1-1/2 = 1/2
Intern
Intern
avatar
Joined: 21 Aug 2014
Posts: 7
Followers: 0

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

Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 09 Oct 2014, 11:56
carcass wrote:
The key is to take in account whenever see you the word AT Least is to subtract the other probability from 1

In this case you DO NO want the large and the small size so 2/3AND (means *) the other colors so3/4

From this 1 - 2/3 * 3/4 = 1 - 6/12 = 6/12 = 1/2



I understand this reasoning and it makes perfect sense. But why in this case it doesn't work the probability of each:

1/3+1/4 = 7/12 ??

Thanks!
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23393
Followers: 3607

Kudos [?]: 28813 [0], given: 2849

Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 10 Oct 2014, 01:33
Expert's post
nachobioteck wrote:
carcass wrote:
The key is to take in account whenever see you the word AT Least is to subtract the other probability from 1

In this case you DO NO want the large and the small size so 2/3AND (means *) the other colors so3/4

From this 1 - 2/3 * 3/4 = 1 - 6/12 = 6/12 = 1/2



I understand this reasoning and it makes perfect sense. But why in this case it doesn't work the probability of each:

1/3+1/4 = 7/12 ??

Thanks!


You should subtract the overlap: 1/3*1/4 = 1/12 from 7/12.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

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; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 02 Mar 2012
Posts: 62
Schools: Schulich '16
Followers: 0

Kudos [?]: 3 [0], given: 2

Re: A certain store sells small, medium, and large toy trucks i [#permalink] New post 10 Oct 2014, 07:31
let me explain in easy terms

the question asks atleast of the two(red-medium).So we gonna find trucks which dont have any of the mentioned or asked charateristic.i.e neither medium nor red and later subtract it.

first,total outcomes-4C1(for any colored truck)*3C1(size of the truck)=12
second,(truck neither medium nor red)=SB,SG,SY LB,LG,LY
so the required probality then toy selkected is medium-red or any of the two=1-(6/12)=1/2

other Solution=

either red or medium or both=MR,MB,MG,MY RS,RM,RL( HERE WE HAVE COUNTED MR or RM twice,so take only one)

prob=6/12=1/2

C.

hope it helps

-h
Re: A certain store sells small, medium, and large toy trucks i   [#permalink] 10 Oct 2014, 07:31
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic There are 9 teddy-bears in a toy store of two sizes: small nafishasan60 4 05 Feb 2012, 22:30
1 a certain store sells manalq8 1 25 Nov 2011, 13:55
A toy store regularly sells all stock at a discount of 20% Jasontuyj2012 2 07 Aug 2011, 04:08
1 Experts publish their posts in the topic A toy store regularly sells all stock at a discount of 20 pzazz12 15 25 Oct 2010, 04:40
A certain company that sells only cars and trucks reported rags 1 22 Oct 2007, 10:46
Display posts from previous: Sort by

A certain store sells small, medium, and large toy trucks i

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.