Arriving Friends
Two friends decide to visit an all-night coffee shop. Each friend arrives randomly and independently at a time between 0:00 and 01:00. Both friends stay for exactly minutes after arriving. What is the probability that the two friends meet at the coffee shop? Assume that the arrival times of the two friends are uniformly distributed between 00:00 and 01:00.
Answer format: round to 2 decimal places.
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