A couple of days ago, I came across the famous Bertrand’s Paradox. It is a problem within the classical interpretation of probability theory. Joseph Bertrand introduced this paradox in his work Calcul des probabilités in1889.

Bertrand’s formulation of the problem

The paradox goes as follows: Consider an equilateral triangle inscribed in a circle. Suppose a chord of the circle is chosen at random. What is the probability that the chord is longer than the length of the side of the triangle?

Bertrand solved this problem with three different methods and got different probabilities each time:

Method 1

We set a point to be stationary and…

Saurabh Agarwal

Sophomore as IITR | Mathematics | DL

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