You and a friend arranged to meet with a famous mall in the city between 3pm and 4 PM a Japanese. However you let you determine an hour within an hourly window. Therefore, every one of you came to the selected times between 3pm and 4 at night that each of you arrived at the mall, you were at exactly 15 minutes. If 15 minutes comes, you leave.
- During the time, there is something or not to be an overlap between your friend visits. At some point, how many of you have now come to the highest number for time. This maximum will be one (sad!) Or two. On average, what is your expectation to be maximum? The answer between one and two.
- Hint: If you’re not sure where to start, think about two hours when it comes to a coordinating plane. Your time comes X-Coordinate and your friend is y. Which region of the coordinate plane do you think of this puzzle? Which of the results of the two meet?
- Instead of being you and a friend, now think three total friends, attach yourself. As with before, you and friends come at random times in time and each one stayed in 15 minutes. Once again, at some point in time, there is a maximum number of friends at the mall. This maximum will be one, two or three. On average, what can you expect maximum number of friends?
- What are the four total friends? On average, what can you expect the maximum number of friends meeting?
- Hint: If you can’t find the exact answer, try to find an estimate. A computer is helpful.
- Think there is N Friends. As N Grew up greater, what can you expect the maximum number of friends meeting, in terms of N?
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