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MathNet 2010 — Part 07 Question 45

Math Olympiad Vault · MathNet 2010 — Part 07

Question 45

While Travis is having fun on cubes, Sherry is hopping in the same manner on an octahedron. An octahedron has six vertices and eight regular triangular faces. After five minutes, how likely is Sherry to be one edge away from where she started?