# Tribue chance reduction with 3 stars? **URL:** \ **Category:** Gameplay Chat (PlayStation 4/Xbox One)\ **Created:** [May 15, 2016, 11:08pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863 "2016-05-15T23:08:10Z")\ **Posts on this page:** 1\ **Showing post:** 15
**Author:** ![Mr.Strange](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/mr.strange/32/2762_2.png) [@Mr.Strange](https://community.gemsofwar.com/u/Mr.Strange)\ **Post date:** [May 24, 2016, 6:46pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/15 "2016-05-24T18:46:09Z")
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. > [@DemonicDraco](#): > > I have 15 3\* or better and honestly I seem to get 1 kingdom or even no kingdom tributes at least a few times a day… I’d assume I should almost never get 1 or 0, tributes at this rate… 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. --- _[View the full topic](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863)._