yea that's part of it but it should also go on to explain that it wont really matter how large a finite number is.
In less than 10 minutes of coding you could get reference results which would tell you what solution might be the right (if the random-func you use is good).
you make a perfectly valid point in that case.
I'd still would like to know with no doubt how to do this mathematically for my own person growth/education.