Three dots on a square

Place three dots independently and uniformly on the perimeter of a square. What is the probability that all three land on distinct edges? Give a decimal.

Show hints (2)+
  1. Treat each dot as choosing one of four edges.
  2. Multiply the 'still distinct' probabilities.

Answer

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0.375 (± 0.005)

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Asked at: Optiver, IMC

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