MathProbabilityProbabilistic modeling

Probabilities as frequencies

Meeting

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On a random day, Daniel arrives at his favorite coffee shop between 12:00 and 13:00, stays some time, and leaves. Elliot does exactly the same. The following code generates the minutes after 12:00 of their arrival and departure:

def daniel():
    arrival = random.randrange(60)
    departure = arrival + random.randrange(10, 25)
    return arrival, departure

def elliot():
    arrival = random.randrange(60)
    departure = arrival + random.randrange(5, 15)
    return arrival, departure

Using 10,000 repetitions, estimate the probability that Daniel and Eliot will meet at a coffee shop. In a situation where one of them left and at the same time another came in, we will assume that they met.

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