MathDB
Random Point

Source:

January 2, 2009
geometryrectangleprobabilityanalytic geometry

Problem Statement

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<y x<y? <spanclass=′latex−bold′>(A)</span> 18<spanclass=′latex−bold′>(B)</span> 14<spanclass=′latex−bold′>(C)</span> 38<spanclass=′latex−bold′>(D)</span> 12<spanclass=′latex−bold′>(E)</span> 34 <span class='latex-bold'>(A)</span>\ \frac{1}{8} \qquad <span class='latex-bold'>(B)</span>\ \frac{1}{4} \qquad <span class='latex-bold'>(C)</span>\ \frac{3}{8} \qquad <span class='latex-bold'>(D)</span>\ \frac{1}{2} \qquad <span class='latex-bold'>(E)</span>\ \frac{3}{4}
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