Alexander token loot system using DF. How does it compare to COIL loot system. Math?

[Garlyle]

Currently everyone has a 12.5% chance of getting a piece per successful run and a ~4.16% chance of getting the specific piece they are looking for.

That's a pretty significant simplification that's also very wrong.

If you're to assume what you did - that you have a full group of everyone rolling on every token regardless (which will almost never happen), you have a 1/8th chance followed by a 1/7th chance for the remaining token, which functions as a 25% chance. And that's an at worst; if you're willing to accept anything, but there's other party members who aren't rolling on every piece for whatever reason (Already have drop, seeking specific drop), those rates go up.

If you're seeking a specific piece, I did the math back on page two, and in an absolutely worst case scenario (Everyone is seeking the exact same drop as you and only that drop), you have an 8% chance of any given run ending in you getting what you're after, or a 55% at highest if there is no competition whatsoever.