That is, given a random chord of circle, what is the probability that it's longer than X? [1]
It's the same issue: how are you randomly choosing the chord? Random (uniformly chosen) intersection point with the radius? Two random (uniform) points on the circumference? People likewise make assumptions that, they argue, pin down how you have to choose the chord and derive solutions on that basis.
[1] In the official version, X = "side length of an inscribed equilateral triangle", but any value could raise the same issues.
https://en.wikipedia.org/wiki/Bertrand_paradox_(probability)
That is, given a random chord of circle, what is the probability that it's longer than X? [1]
It's the same issue: how are you randomly choosing the chord? Random (uniformly chosen) intersection point with the radius? Two random (uniform) points on the circumference? People likewise make assumptions that, they argue, pin down how you have to choose the chord and derive solutions on that basis.
[1] In the official version, X = "side length of an inscribed equilateral triangle", but any value could raise the same issues.