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Hard · Probability & Statistics · Quant Trader interview question · probability, geometric-probability, mental-math, conditional-probability
Alice and Bob agree to meet between 12:00 PM and 1:00 PM. They each arrive at a random time within that hour and will wait for 15 minutes (0.25 hours) for the other person. What is the probability that they will meet? This is a classic probability puzzle that tests your ability to visualize and calculate probabilities involving continuous random variables. Think about how to represent the possible arrival times and the condition for them to meet.