On the Bertrand paradox
type: Item
instance of: scholarly article
title: On the Bertrand paradox
zbMATH Open document ID: 0914.60014
DOI: 10.1007/BF02851396
author: Alessandro Soranzo
author: Aljoša Volčič
publication date: 1999-01-13T00:00:00Z
review text: The probability that a random chord in a disc is longer than the side of the inscribed equilateral triangle depends on how randomness is defined. In 1888 Bertrand pointed out different answers for that probability. Five classical models are described and also the following. In a point outside the disc a line is taken in a random uniform direction. A random chord is obtained if the line hits the disc. Conditioned on that event the probability that the chord is longer than the side of the inscribed equilateral triangle is calculated by straightforward trigonometry.
reviewed by: Lars Holst
Mathematics Subject Classification ID: 60D05
zbMATH DE Number: 1239703
zbMATH Keywords: geometric probability
zbMATH Keywords: random chords
MaRDI profile type: Publication
cites work: Q4110292
cites work: Q4274036
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 1239703