I noted what amount of tributes I received for 1000 times.

Before I start, an important precision: All my expected probabilities are for 30 kingdoms at 26% chance BUT all my 1000 tributes collected had better probabilities! The first 837 tributes I had 29 kingdoms at 26% and 1 at 36% (Ghulvania) and the last 163 tributes I had 28 kingdoms at 26% and 2 at 36% (Ghulvania and Khaziel).

The probability to receive a tribute in the 0 to 6 tributes group is 30,3%.

The probability to receive a tribute in the 7 to 30 tributes group is 69,7%.

That means its expected to receive for 1000 tributes: 303 tributes in the group 0 to 6 and 697 tributes in the group 7 to 30.

I received 356 tributes in the 0 to 6 group and 644 tributes in the 7 to 30 group.

After 300 tributes, I was already with 24 more tributes received in the 0 to 6 group.

After 400 it was +29. After 500 it was +40. After 600 it was +43. After 700 it was +52. After 800 it was +54. After 900 it was +52 and After 1000 it was +54.

What does that mean? Despite the fact that my probabilities were better than 30 kingdoms at 26% as I had also 1 and then 2 kingdoms at 36%. Every blocks of 100 tributes gave me more than expected tributes in the 0 to 6 group!! Only 1 block (the 800 to 900) gave me +2 more tributes than expected in the 7 to 30 group! But for that I had to have 2 kingdoms at 36% (for the 63 last tributes of this block) and the final block from 900 to 1000 again gave me 2 more tributes in the 0 to 6 group despite the fact I had this time 2 kingdoms at 36% for the whole 100 tributes in this last block!!

Here are the details for each tribute:

0 tribute: 0 (0)

1 tribute: 3 (1) +2 (Expected to receive 1 in 1000 tributes but I received 3)

2 tributes: 11 (6) +5 (Expected to receive 6 in 1000 tributes but I received 11)

3 tributes: 29 (21) +8

4 tributes: 52 (50) +2

5 tributes: 106 (91) +15!

6 tributes: 155 (133) +22!

That is 54 more than expected for this group 0 to 6.

7 tributes: 140 (161) -21! (Expected to receive 161 but I received only 140)

8 tributes: 152 (162) -10!

9 tributes: 141 (139) +2

10 tributes: 95 (103) -8

11 tributes: 45 (66) -21!

12 tributes: 40 (37) +3

13 tributes: 22 (18) +4

14 tributes: 7 (8) -1

15 tributes: 2 (3) -1

16 to 30 tributes: 0 (1) -1

That is 54 less than expected for this group 7 to 30.

Now if a math specialist could indicates me the probabilities to receive tributes in the 0 to 6 group and in the 7 to 30 group for 29 kingdoms at 26% and 1 kingdom at 36% and also for 28 kingdoms at 26% and 2 kingdoms at 36%. Would be cool.

For 30 kingdoms at 26%, its 30,3% for 0 to 6 group and 69,7% for 7 to 30 group. Obviously with 1 or 2 kingdoms at 36%, the chances will lower in the 0 to 6 group and raise in the 7 to 30 group, which should indicates even more that there is a problem here.