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duk ID math
There are 64^8 possible IDs.
2*2*2=8 different capitalizations of duk
6 different positions of duk
5 letters that don't matter
So the probability of duk is 8*6*64^5 / 64^8 = 0.018% or 1 in 5461
This is not double-counting double-duks like 12dukDUK or other spellings like duc
