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

 It is currently 28 May 2017, 04:45

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A stick is broken into 2 pieces. One of the pieces is

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 21 Oct 2004
Posts: 12
Followers: 0

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

A stick is broken into 2 pieces. One of the pieces is [#permalink]

Show Tags

27 Mar 2006, 18:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

1. A stick is broken into 2 pieces. One of the pieces is further broken into two pieces.
What is the probability that the (three) pieces so obtained form the sides of a triangle ?
_________________

peace out ........

Director
Joined: 26 Mar 2006
Posts: 635
Followers: 1

Kudos [?]: 34 [0], given: 0

Show Tags

27 Mar 2006, 19:13
One piece is broken into 2 pieces, lets call them x & y.

it can be done in 3 possible ways which is
x = y ; x > y ; x < y.

Inorder to form a triangle : sum of 2 sides > 3rd side and difference of 2 sides < 3rd side. So 2 events x > y or y > x can produce the desired results. Therefore Prob of the desired event - 2/3

To form a triangle the longer piece should be further broken in to 2

Assuming x > y,
If x is further broken into x1 & x2 then the possible events can be
x2 - x1 = y ; x2 - x1 > y; x2 - x1 < y. what we need is x2 - x1 < y. Therefore 1/3.

So final answer is 2/3 * 1/3 = 2/9.

A Sincere try. Hope I got it right
27 Mar 2006, 19:13
Display posts from previous: Sort by

A stick is broken into 2 pieces. One of the pieces is

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.