Entropy says it's special. If you have a million dots and 10,000 coordinates, you have 10,000 ways for all the dots to land in the same coordinate, and a zillion kavillion stupillion ways to have somewhere near 100 dots in each coordinate.
We started this talking about whether things "clump" or not. The result depends on your definition of "clump" but let's say it involves a standard deviation. Different standard deviations have wildly different probabilities, even when every specific configuration has the same probability.
Nobody responding to you is calculating things wrong. We're talking about the shape of the data. Categories. And those categories are different sizes, because they have different numbers of specific configurations in them.
> the millionth and 1 time
I don't see any connection between the above discussion and the gambler's fallacy?
