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

It is currently 25 May 2015, 16:09

Today:

Free Access to GMAT Club Tests - May 25th for Memorial Day!!


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

The figure shown represents a board with 4 rows of pegs, and

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 02 Dec 2007
Posts: 463
Followers: 2

Kudos [?]: 59 [0], given: 6

The figure shown represents a board with 4 rows of pegs, and [#permalink] New post 13 Sep 2008, 07:03
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

39% (01:30) correct 61% (00:50) wrong based on 18 sessions
Image
The figure shown represents a board with 4 rows of pegs, and at the bottom of the board are 4 cells numbered 1 to 4. Whenever the ball shown passes through the opening between two adjacent pegs in the same row, it will hit the peg directly beneath the opening. The ball then has the probability 1/2 of passing through the opening immediately to the left of that peg and probability 1/2 of passing through the opening immediately to the right. What is the probability that when the ball passes through the first two pegs at the top it will end in Cell 2?

A. 1/16
B. 1/8
C. 1/4
D. 3/8
E. 1/2

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-figure-shown-represents-a-board-with-4-rows-of-pegs-and-36668.html
[Reveal] Spoiler: OA

Attachments

maths.doc [29.5 KiB]
Downloaded 503 times

To download please login or register as a user

Kaplan Promo CodeKnewton GMAT Discount CodesVeritas Prep GMAT Discount Codes
Intern
Intern
avatar
Joined: 12 Feb 2010
Posts: 26
Followers: 0

Kudos [?]: 1 [0], given: 5

Re: The figure shown represents a board with 4 rows of pegs, and [#permalink] New post 12 Feb 2010, 14:03
1/8 - 1/2*1/2*1/2.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27494
Followers: 4312

Kudos [?]: 42304 [0], given: 6012

Re: The figure shown represents a board with 4 rows of pegs, and [#permalink] New post 12 Feb 2010, 14:39
Expert's post
Attachment:
ps_539.jpg
ps_539.jpg [ 9.74 KiB | Viewed 2096 times ]
The figure shown represents a board with 4 rows of pegs, and at the bottom of the board are 4 cells numbered 1 to 4. Whenever the ball shown passes through the opening between two adjacent pegs in the same row, it will hit the peg directly beneath the opening. The ball then has the probability 1/2 of passing through the opening immediately to the left of that peg and probability 1/2 of passing through the opening immediately to the right. What is the probability that when the ball passes through the first two pegs at the top it will end in Cell 2?

A. 1/16
B. 1/8
C. 1/4
D. 3/8
E. 1/2

When ball passes two pegs it will be either on the left route or on the right route. Now, if ball is on the left route, number of possible scenarios will be 4, out of which two will lead to cell 2, if ball is on the right route, number of scenarios will also be 4, but out of these four only one will lead to cell 2. So, total 8 scenarios out of which 2+1=3 lead to cell 2, hence probability 3/8.

Answer: D.
_________________

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

GMAT Club Premium Membership - big benefits and savings

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 4935
Followers: 297

Kudos [?]: 54 [0], given: 0

Premium Member
Re: The figure shown represents a board with 4 rows of pegs, and [#permalink] New post 20 Apr 2015, 06:11
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

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27494
Followers: 4312

Kudos [?]: 42304 [0], given: 6012

Re: The figure shown represents a board with 4 rows of pegs, and [#permalink] New post 20 Apr 2015, 07:14
Expert's post
Re: The figure shown represents a board with 4 rows of pegs, and   [#permalink] 20 Apr 2015, 07:14
    Similar topics Author Replies Last post
Similar
Topics:
GMATPrep PS - Peg board photoguy 2 31 May 2009, 06:45
The figure shown represents a board with 4 rows of pegs, and marcodonzelli 4 06 Jan 2008, 09:57
The figure shown above represents a modern painting that gluon 3 26 Sep 2007, 12:25
8 The figure shown represents a piece of land that is in the humtum0 7 02 Sep 2007, 18:52
12 Experts publish their posts in the topic The figure shown represents a board with 4 rows of pegs, and ugo_castelo 14 13 Oct 2006, 09:33
Display posts from previous: Sort by

The figure shown represents a board with 4 rows of pegs, and

  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®.