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Don't play the game, just give yourself like 9 starting provinces and go to work. My results of 168 sea kings yielded 83 elemental picks and 85 sorcery picks.
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All this tells us is the overall randomness. However, if the picks follow some sort of pattern, your conclusion will be wrong, even if it looks distributed. This is why I recorded each mage, in the order I recruited them.
I guess what I am saying is if you get 50 death mages in a row, then 50 blood mages in a row, etc, totalling them all up at the end will look like it is a random distribution, even though it was not. That was the main reason for my first post. I felt, and still do, that it is not completely random. I always seem to get "gaps" and 2-4 paths that have the majority of the random picks, at any given point. Testing on a large scale is somewhat irelevent, as you don't recruit 1000 mages (or I don't)
Again, this seems to be my perception...