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Probability Riddle Using Python: Will We Meet?

 Riddle:

Two friends who take the metro to their jobs from the same station arrive to the station uniformly randomly between 7 and 7:20 in the morning. They are willing to wait for one another for 5 minutes, after which they take a train whether together or alone. What is the probability of their meeting at the station?


Python Solution:


Riddle source:

https://www.cut-the-knot.org/Probability/GeometricProbabilities.shtml