Will they meet?

MediumProbability~6m

Two people each arrive at a uniformly random time during a 1-hour window and each waits 15 minutes for the other. What is the probability they meet? (to 4 decimals)

Show hints (2)+
  1. Draw the unit square and the band xy1/4|x-y|\le 1/4.
  2. Subtract the two corner triangles.

Answer

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0.4375 (± 0.002)

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Asked at: Citadel, Two Sigma

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