Hello folks - I’m back after a week’s vacation!
Just looked at the code - the doubling of the tribute chance is very simple.
if kingdomPower >= 4 then chance = chance*2;
(Note that “4” is correct - grey star is 1, gold star is 2, etc.)
So I’d say that there is no bug with 3 gold stars somehow lowering your chance.
Fun math with binomial expansions!
If you have 20 kingdoms at 10% chance each, you have:
- 12% chance of getting zero tribute.
- 27% chance of getting 1 tribute.
- 28.5% chance of getting 2 tributes.
- 19% chance of getting 3 tributes.
- 9.0% chance of getting 4 tributes.
- 4.5% chance of getting 5+ tributes.
If you have 20 kingdoms at 20% chance each, you have:
- 7.1% chance of getting zero or 1 tributes.
- 13.7% chance of getting 2 tributes.
- 20.5% chance of getting 3 tributes.
- 21.8% chance of getting 4 tributes.
- 36.9% chance of getting 5+ tributes.
The math gets harder for a mix of 10% and 20% kingdoms - so I can’t easily break this down farther.