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Teoriya Veroyatnostei i ee Primeneniya, 2022, Volume 67, Issue 1, Pages 199–202
DOI: https://doi.org/10.4213/tvp5439 (Mi tvp5439) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

A new solution of Bertrand's paradox

P. Kaushik

Indira Gandhi National Open University, Bokaro Steel City, Bokaro, Jharkhand, India
Full-text PDF (227 kB) Citations (1)
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DOI: https://doi.org/10.4213/tvp5439
Abstract: Bertrand's Paradox is classical in the theory of probability. Its point of contention is the existence of three distinct solutions to a seemingly identical required probability, with each solution obtained through a different method. This paper depicts yet another solution, a novel approach originating from diametric projections of radial vectors. The chords are drawn by joining the head of a radial vector to a fixed diametrical extremity, corresponding to all points between the two diametrical extremities.
Keywords: Bertrand's Paradox, randomization, radial vectors, diametrical projection.
Received: 23.02.2020
Accepted: 15.09.2021
English version:
Theory of Probability and its Applications, 2022, Volume 67, Issue 1, Pages 158–160
DOI: https://doi.org/10.1137/S0040585X97T990836
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. Kaushik, “A new solution of Bertrand's paradox”, Teor. Veroyatnost. i Primenen., 67:1 (2022), 199–202; Theory Probab. Appl., 67:1 (2022), 158–160
Citation in format AMSBIB
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\by P.~Kaushik
\paper A new solution of Bertrand's paradox
\jour Teor. Veroyatnost. i Primenen.
\yr 2022
\vol 67
\issue 1
\pages 199--202
\mathnet{http://mi.mathnet.ru/tvp5439}
\crossref{https://doi.org/10.4213/tvp5439}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4466421}
\zmath{https://zbmath.org/?q=an:7523567}
\transl
\jour Theory Probab. Appl.
\yr 2022
\vol 67
\issue 1
\pages 158--160
\crossref{https://doi.org/10.1137/S0040585X97T990836}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85130995245}
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  • https://www.mathnet.ru/eng/tvp5439
  • https://doi.org/10.4213/tvp5439
  • https://www.mathnet.ru/eng/tvp/v67/i1/p199
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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    Full-text PDF :89
    References:57
    First page:17
     
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