What is it about?
Deriving a simple formula for the probability that n line segments of different lengths, when placed on the unit interval shall turn out to be disjoint and all within the interval.
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Why is it important?
It gives a solution of a nice problem in recreational mathematics.
Perspectives
The proof is compared to an earlier proof by Chris Ennis.
Professor emeritus Inge Svein Helland
University of Oslo
Read the Original
This page is a summary of: Disjoint Placement Probability of Line Segments via Induction, College Mathematics Journal, September 2023, Taylor & Francis,
DOI: 10.1080/07468342.2023.2255087.
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