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2009 AMC 10A Question 24

AMC10 · 2009 AMC 10A

Question 24

Three distinct vertices of a cube are chosen at random. What is the probability that the plane determined by these three vertices contains points inside the cube?
  1. $\dfrac{1}{4}$
  2. $\dfrac{3}{8}$
  3. $\dfrac{4}{7}$
  4. $\dfrac{5}{7}$
  5. $\dfrac{3}{4}$