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2003 AMC 10AProblem 12P11-15~2 minPrint
Geometric ProbabilityCoordinate GeometryCut the figure into known shapes (triangles, rectangles, sectors)

A point (x,y)(x,y) is randomly picked from inside the rectangle with vertices (0,0)(0,0) , (4,0)(4,0) , (4,1)(4,1) , and (0,1)(0,1) . What is the probability that x<yx<y ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.