This is Bertrand's paradox. For a short introduction, I advise you to watch the video here by 3Blue1Brown and Numberphile. In short, Bertrand's paradox asks: "Let us pick a random line segment of length \(\ell\) inside a unit circle. If we inscribe an equilateral triangle of length \(s\) inside the circle, what is the probability that \(P (\ell > s)\)?" The paradox comes because there are three different ways to solve this problem which comes up with different probabilities. In the following simulation, I colored lines that were shorter than \(s\) with dark cyan, and I colored lines that were longer than \(s\) with azure. The probability approaches \(\frac{1}{3}\).