Random Magic Paths - is it truly random?

[alexti]

Bummer_Duck said:
However, I find it strange that in each game I tested, the majority of the dwarves random picks are in 2 paths. I have testbeded at least 8 games, and have *never* gotten representation of all magic paths in 1 game. I find this, in and of itself, questionable. Perhaps I just don't understand RNG?

How many smiths (or any mages with randoms you had)? For example, probability that you'll get every random path in a sequence of 8 smiths is 7/8*6/8*...*1/8 = 7!/8^7 = 5040/2097152=0.0024 - not that likely to happen, isn't it? With more smiths the chances obviously grow, so the question is how many of them you had.