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28 Jun 2006, 10:45
Kudos
Bookmarks
edited: sorry, no actual gmat questions. Its against the Non Disclosure Agreement.
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Is the answer 1/4?
All the points (x,y) with x>=y are below and on the y=5 line. The points above this line are x<y.
Now area above the y=5 line is 1/4th the area of the entire triangle (Simple geometry). Hence probability of finding a point over there is 1/4.
All the points (x,y) with x>=y are below and on the y=5 line. The points above this line are x<y.
Now area above the y=5 line is 1/4th the area of the entire triangle (Simple geometry). Hence probability of finding a point over there is 1/4.
28 Jun 2006, 11:15
Kudos
Bookmarks
The answer is 1/4. You can break up the triangle into a square and 2 triangle. Each of the triangles is now a 1/2 the area of the square. If you pick a point where y > x it has to be a point in this upper triangle. The probability of picking a point in a given area is proportional to the area.
P = (area of upper triangle) /(area ouf upper triangle + area of square + area of lower triangle)
=1/(1+2+1)
=1/4
P = (area of upper triangle) /(area ouf upper triangle + area of square + area of lower triangle)
=1/(1+2+1)
=1/4
