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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
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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