Using Mathematica/Wolfram-Cloud to play with Bertrand's Paradox

Published: 23 July 2024
on channel: Thomas Blum

In this video we use Mathematica/Wolfram-Cloud to experiment with Bertrand's Paradox. Based on the Numberphile video on Bertrand's Paradox (with 3blue1brown) • Bertrand's Paradox (with 3blue1brown)... we look for the fraction of chords in a unit circle having a length greater than square-root of 3 (the side of an equilateral triangle inscribed in the unit circle). We generate random chords in four different ways, and each method seems to produce a different answer. In terms of Mathematica, we use: RandonVariate, UniformDistribution, Sqrt, Cos, Sin, If, For, AppendTo, Line, Circle, Point, Graphics, ArcCos

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