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

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

130-point score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

What is the probability that P>Q>0

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1799
Joined: Wed Dec 24, 2008 3:03 amFollowed by: 2 members
Thanked: 36 times
by goelmohit2002 » Thu Sep 17, 2009 4:40 am
Hi All,

if x^2 + y^2 = r^2 is the equation of the circle with centre as origin and radius as r.

Point (P,Q) is randomly selected inside the above circle. What is the probability that P>Q>0 ?

[spoiler]OA = 1/8. Can someone please tell how the answer is 1/8....since on line y=x, the above inequality that is P>Q>0 is not satisfied.
[/spoiler]

Thanks
Mohit
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 1799
Joined: Wed Dec 24, 2008 3:03 amFollowed by: 2 members
Thanked: 36 times

by goelmohit2002 » Fri Sep 18, 2009 6:14 am
experts kindly share your opinion please !!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 59
Joined: Fri Aug 14, 2009 12:03 am

by caspermonday » Wed Sep 23, 2009 8:31 am
Beats me...

My intuition is that the probability should be less than 3/4 because there is one quarter in a circle where P that lies of X-axis is always greater than Q that lies on Y-axis (the quadrant where X>0, Y>0).

Evidently, that in quadrant where x<0, y>0, P can never exceed Q. Hence, probability is more that 1/4.

And in quadrants where x<0, y<0 and x>0, y>0 there are variants where P can be > Q. The problem is how to calculate the chances.

I keep on thinking. Thanks for the problem.
Any ideas, guys?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 59
Joined: Fri Aug 14, 2009 12:03 am

by caspermonday » Wed Sep 23, 2009 11:24 am
Have a look at this. Guys seem to have solved your prob:
https://gmatclub.com/forum/probability-o ... 8e71ef576e
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1