Ask Questions, Discuss Approaches & No Clutter

‪#gmatclub‬ In the x- y plane, there are 4 points (0,0), (0,

Open 3 Answers 17 Views GMAT Math
In the x- y plane, there are 4 points (0,0), (0,4), (6,4), and (6,0). If these 4 points makes a rectangle, what is the probability that x+y*4?

3 Answers

if (x,y) lies inside the reactangle. pretty standard question
you didn't need to tell it was a rectangle and you needed to tell that x,y lies inside the rectangle or the probability would have been 1/8
probability = 1/3
answered Jun 15, 2016 by Beginner (1 point)
but if we count ordered pairs ordered pairs comes out to be 10....(0,0),(1,0),(2,0),(3,0),(0,1),(0,2),(0,3),(1,1),(1,2) and (2,1)
answered Jun 14, 2016 by Beginner (1 point)
The total area of the rectangle is 4x6=24 sq units. Now imagine a line is drawn from (0,4) to (4,0), Every ordered pair lying below this line will satisfy the inequality x+y*4. This line forms a triangle when combined with the sides of our original rectangle. The triangle has area 1/2(4)^2 = 8. Suppose we choose any random pair out of it,the probability will be 8/24 ,ie 1/3
answered Jun 14, 2016 by Beginner (21 points)
Student Speaks

Jyotsna Mehta

Indian School of Business, Co'18

I am very thankful to Gmatxchange and would definitely recommend Gmatxchange mentors to all those students applying for MBA admissions

Your Tentative GMAT Score
Estimate your GMAT score.
The scorer helps you to determine your current level within a few questions you solve.Read More
Please log in or register to use the Scoring Feature
Confused about your profile & colleges, Get FREE profile evaluation today from over 10 consultants.
Follow us and get quick prep updates on Facebook