BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

a good questions

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 371
Joined: Tue Apr 29, 2008 10:16 amFollowed by: 1 member
Thanked: 6 times
by vaivish » Wed Jun 25, 2008 8:18 am
If point (x, y) is selected at random from a square region that has vertex (0, 0), (2, 0), (0, 2), and (2, 2), what is the probability that y-x>1?
(A) 1/8
(B) 3/8
(C) 1/4
(D) 5/8
(E) 3/4
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 566
Joined: Fri Jan 04, 2008 11:01 am
Location: Philadelphia
Thanked: 31 times
GMAT Score:640

by AleksandrM » Wed Jun 25, 2008 9:09 am
Is it C?

Probability of y > x + 1

0 > 0 + 1 not true

0 > 2 + 1 not true

2 > 0 + 1 true

2 > 2 + 1 not true

1 out of 4 or 1/4.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 106
Joined: Sun Feb 17, 2008 10:09 pm
Thanked: 3 times

by ksh » Wed Jun 25, 2008 9:17 am
Cant x & y have any value in between 0-2 if randomly selected?

i am confused !
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 566
Joined: Fri Jan 04, 2008 11:01 am
Location: Philadelphia
Thanked: 31 times
GMAT Score:640

by AleksandrM » Wed Jun 25, 2008 9:20 am
You bring up a good point ksh, I might have gone for the easy (trap) answer choice.

Hope someone else could shed some light on this one.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 132
Joined: Sun Apr 27, 2008 10:31 am
Location: Portugal
Thanked: 7 times

by atlantic » Wed Jun 25, 2008 9:51 am
Hi all,

Well, y=x+1 is a line. So y>x+1 defines a region above that line.

If you draw the square region and the line you gonna see that the line intersects the Y axis in y=1 and the square top line in the point (1,2) forming a triangle of side 1.

So the probability is the area of the triangle divided by the area of the square.

Area of the triangle = 1/2

Area of the square = 4

So probability is (1/2)/4 = 1/8, chose A.
Last edited by atlantic on Wed Jun 25, 2008 10:01 am, edited 1 time in total.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 566
Joined: Fri Jan 04, 2008 11:01 am
Location: Philadelphia
Thanked: 31 times
GMAT Score:640

by AleksandrM » Wed Jun 25, 2008 9:52 am
Answer is 1/8

Points are

0,0
0,1
0,2
1,0
2,0
2,1
2,2
1,1

1/8.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 12
Joined: Tue May 20, 2008 6:05 pm
Location: california
Thanked: 1 times

by vinod_ece66 » Wed Jun 25, 2008 9:53 am
is 1/8 the answer

if that is the answer the solution is

y-x =1 is the line which passes through points (1,2) and (0,1) and y-x>1 corresponds to area above this line

the total area of the square is 4

the area of the region above the line y-x=1 is 1/2*1*1 = 1/2

hence the probability is 1/2 divided by the whole area which is 4

hence 1/8
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 371
Joined: Tue Apr 29, 2008 10:16 amFollowed by: 1 member
Thanked: 6 times

by vaivish » Wed Jun 25, 2008 11:00 am
atlantic..its right...amazing explanation..
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1