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2004 AMC 10A Question 5

AMC10 · 2004 AMC 10A

Question 5

A set of three points is chosen randomly from the grid shown. Each three-point set has the same probability of being chosen. What is the probability that the points lie on the same straight line?

Question illustration
  1. $\dfrac{1}{21}$
  2. $\dfrac{1}{14}$
  3. $\dfrac{2}{21}$
  4. $\dfrac{1}{7}$
  5. $\dfrac{2}{7}$