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.