A Random Meeting
A Random Meeting
Anna and Bill agree to meet at a certain place in the time interval ; time is measured in minutes and the starting time 0 of the interval may be, for example, 11:30. Both arrive at a random moment in the interval . Moreover, Anna will wait for Bill at most a given number of minutes , and Bill will wait for Anna at most another given number of minutes ; both will wait at most until o’clock. This Demonstration shows the probability that Anna and Bill will meet. The red region in the figure consists of the arrival times of Anna and Bill for which they will meet.
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(0,t)
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