In this post, explanation of Bertrand’s Paradox and an alternative approach that I suggested in 2019 is included.

Bertrand’s Paradox

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 a side of the triangle? The reason this problem is called a paradox is that different solutions yield different answers. Now let’s dive into 3 popular solutions for the paradox.

Random Endpoints Method