All Questions

Draw $n$ random chords in a circle, where each chord connects two independent uniformly random points on the circle. As $n\to\infty$, which kind of polygon (triangle, quadrilateral, pentagon, etc.) ...

Suppose we choose $n$ uniformly random points in a disk, then draw the smallest circle that encloses all of those points. There is evidence suggesting that the probability that the enclosing circle is ...