Question: [Probability] Two friends come into a same coffee place on a regular basis. Every day each friend stops by at the coffee place between

[Probability] Two friends come into a same coffee place on a regular basis. Every day each friend stops by at the coffee place between 2pm and 3pm, but at random moments of time (uniformly distributed across the given hour) and independently from each other. Each stays in the cafe for exactly 20 minutes. What is the probability that two friends meet at the cafe on a given day (assuming a meeting occurs with certainty if they both are there at the same moment of time)?

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