It is currently 18 Nov 2017, 20:19

### 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

# Probability

Author Message
Manager
Joined: 03 Sep 2009
Posts: 75

Kudos [?]: 112 [0], given: 3

### Show Tags

22 Jan 2010, 10:30
Hi Experts,

Could anybody explain how to solve the following question:
Q:- If a point is arbitrarily selected on a line segment, thus breaking it into two smaller segments, what is the probability that the larger segment is at least twice as long as the smaller one?
a) 1/4
b) 1/3
c) 1/2
d) 2/3
e) 3/4

Many thanks in anticipation.

-AMit

Kudos [?]: 112 [0], given: 3

Intern
Joined: 21 Jan 2010
Posts: 49

Kudos [?]: 37 [1], given: 0

### Show Tags

22 Jan 2010, 10:35
1
KUDOS
1
This post was
BOOKMARKED
Sounds like a calculus problem to me!

Anyways, I think you can break it down like this:

For one segment to be twice as long as the other, you need to break the line at the 1/3 or 2/3 marks. Thus, I believe you can 'simplify' the problem by breaking the line as such:

1. At the 1/3 and less -- line segment one will be at least twice the second.
2. Between 1/3 and 2/3 -- line segment one will be less than twice the second, or vice versa.
3. At the 2/3 and more -- line segment two will be at least twice the first.

So, three cases, two of which satisfy your criteria.

Does 2 / 3 sound right?
_________________

________________________________________________________________________
Andrew
http://www.RenoRaters.com

Kudos [?]: 37 [1], given: 0

Manager
Joined: 03 Sep 2009
Posts: 75

Kudos [?]: 112 [0], given: 3

### Show Tags

22 Jan 2010, 10:53
Yaa 2/3 is correct. Many thanks for the explanation.

+1 for that.
Any ways I am also from Canada...trying for UBC or SFU in BC...
-Amit

Kudos [?]: 112 [0], given: 3

Re: Probability   [#permalink] 22 Jan 2010, 10:53
Display posts from previous: Sort by

# Probability

Moderator: Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.