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

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‪#gmatclub‬
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?

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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)
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but if we count ordered pairs ...total 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)
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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)
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