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2008 AMC 8 Question 19

AMC8 · 2008 AMC 8

Question 19

Eight points are spaced at intervals of one unit around a $2\times2$ square, as shown. Two of the $8$ points are chosen at random. What is the probability that the points are one unit apart?

Question illustration
  1. $ \ \dfrac{1}{4} $
  2. $ \ \dfrac{2}{7} $
  3. $ \ \dfrac{4}{11} $
  4. $ \ \dfrac{1}{2} $
  5. $ \ \dfrac{4}{7} $