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2002 AMC 12B Question 18

AMC12 · 2002 AMC 12B

Question 18

A point $P$ is randomly selected from the rectangular region with vertices $(0,0),$ $(2,0),$ $(2,1),$ $(0,1).$ What is the probability that $P$ is closer to the origin than it is to the point $(3,1)?$
  1. $\dfrac{1}{2}$
  2. $\dfrac{2}{3}$
  3. $\dfrac{3}{4}$
  4. $\dfrac{4}{5}$
  5. $1$