# Kingdom Tribute--the math

**URL:** https://community.gemsofwar.com/t/kingdom-tribute-the-math/1566
**Category:** Gameplay Chat (PC/Mobile)
**Created:** [November 29, 2015, 4:11am UTC](https://community.gemsofwar.com/t/kingdom-tribute-the-math/1566 "2015-11-29T04:11:19Z")
**Posts on this page:** 1
**Showing post:** 7

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### Author: ![Namour](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/namour/32/2957_2.png) [@Namour](https://community.gemsofwar.com/u/Namour)
#### Post date: [December 22, 2015, 11:37am UTC](https://community.gemsofwar.com/t/kingdom-tribute-the-math/1566/7 "2015-12-22T11:37:48Z")

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Following patch 1.08, I’ve done a binomial distribution check on how the new equates to the old…

**Prior to 1.08, if you had all 20 Kingdoms at Level 10:**

Chance of 0 Tribute: 12.2 %  
Chance of 1 Tribute: 27 %  
Chance of 2 Tributes: 28.5 % (+ 2 gems)  
Chance of 3 Tributes: 19 % (+ 10 gems)  
Chance of 4 Tributes: 9 % (+ 15 gems)  
Chance of 5 Tributes: 3 % (+ 20 gems)  
Chance of 6 Tributes: 1 % (+ 20 gems)  
Chance of 7 Tributes: 0.2 % (+ 20 gems)

The end result was that, on average, you could expect 4.66 gems on average per cash collect.

**Since patch 1.08, if you had all 20 Kingdoms at Level 10 and _below_ Kingdom Power Level 3:**

Chance of 0 Tribute: 12.2 %  
Chance of 1 Tribute: 27 %  
Chance of 2 Tributes: 28.5 % (+ 1 gems)  
Chance of 3 Tributes: 19 % (+ 2 gems)  
Chance of 4 Tributes: 9 % (+ 3 gems)  
Chance of 5 Tributes: 3 % (+ 4 gems)  
Chance of 6 Tributes: 1 % (+ 5 gems)  
Chance of 7 Tributes: 0.2 % (+ 6 gems)

The end result was that on average you would expect 1.12 gems on average per collect (that’s about a quarter the amount beforehand).

**Then I was wondering if it would re-balance when uncapped if I got all 20 Kingdoms to Power Level 3 (double tribute chance)…**

Chance of 0 Tribute: 1.2 %  
Chance of 1 Tribute: 5.7 %  
Chance of 2 Tributes: 14 % (+ 1 gems)  
Chance of 3 Tributes: 21 % (+ 2 gems)  
Chance of 4 Tributes: 22 % (+ 3 gems)  
Chance of 5 Tributes: 17 % (+ 4 gems)  
Chance of 6 Tributes: 11 % (+ 5 gems)  
Chance of 7 Tributes: 5.5 % (+ 6 gems)  
Chance of 8 Tributes: 2.2 % (+ 7 gems)  
Chance of 9 Tributes: 0.7% (+ 8 gems)

You would expect 2.99 gems per cash collect. So even after that miraculous effort of leveling troops and adding traits…one can expect to earn 36% less gems via the Tribute route than at the end of 1.07.

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_[View the full topic](https://community.gemsofwar.com/t/kingdom-tribute-the-math/1566)._