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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 2022 Volume 67, Issue 1, Pages 199–202 (Mi tvp5439)

This article is cited 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

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

DOI: 10.4213/tvp5439


 English version:
Theory of Probability and its Applications, 2022, 67:1, 158–160

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© Steklov Math. Inst. of RAS, 2024