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Title: | Mathematics at DEC |
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Moderator: | RUSURE::EDP |
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Created: | Mon Feb 03 1986 |
Last Modified: | Fri Jun 06 1997 |
Last Successful Update: | Fri Jun 06 1997 |
Number of topics: | 2083 |
Total number of notes: | 14613 |
1275.0. "Probability of n-gon" by DEC25::ROBERTS (Reason, Purpose, Self-esteem) Mon Jul 30 1990 16:45
Let's take the special-case problem in note 1274 and generalize it to
any natural number of random-length sides.
1. What is the probability that n straight segments of random length
(except that the sum of their lengths equals unity) can be arranged to
form an n-faced polygon in a plane? (The polygon may be "improper";
that is, its segments may intersect.)
2. What is the probability if the polygon can extend into each of the
dimensions up to n-1? For example, what is the probability of a 6-sided
polygon in 4-space? 5-space?
/Dwayne
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