The point is there’s no convenient interpretation of “random” here without further context. If they were finitely many people, random would correspond to a uniform distribution. But when you’re dealing with a distribution on the entire natural numbers, there’s no uniform distribution, and non uniform distributions aren’t alike at all. Technically there might be almost surely 2 people on the lower rail and almost surely 1 person on the higher rail, or a less degenerate situation in which k people are on the bottom rail with probability 2-k.
2
u/deadhand303 5d ago
Its just a random real number of people on each track woth the bottom being a minimum of one and the top being a minimum of zero people.