# Tribue chance reduction with 3 stars?

**URL:** <https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863>\
**Category:** Gameplay Chat (PlayStation/Xbox)\
**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:** 20\
**Page:** 1

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**Author:** ![Strat](https://avatars.discourse-cdn.com/v4/letter/s/2bfe46/32.png) [@Strat](https://community.gemsofwar.com/u/Strat)\
**Post date:** [May 15, 2016, 11:08pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/1 "2016-05-15T23:08:10Z")

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I have been keeping track of my Tribute payouts for a few weeks (multiple time per day) and there seems to be a problem with Zeajin. First, almost all kingdoms are Level 10. I have one gold star in almost all my kingdoms except Zaejen that one (and only) is three stars. So it is supposed to pay out 20% of the time or 1 in 5 collections. Yet it seems to only proc about 2% of the time or 1 in 50 collections. I can usually tell even with multiples based on the 600/12/16 payout. All my one star kingdoms seem about correct at 1 in 10 at level 10.

Is anyone else on Xbox/ps4 with 3 star kingdoms noticed a approximately ten fold reduction a tribute collections compared to one star kingdoms?

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**Author:** ![TaliaParks](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/taliaparks/32/11738_2.png) [@TaliaParks](https://community.gemsofwar.com/u/TaliaParks)\
**Post date:** [May 15, 2016, 11:29pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/2 "2016-05-15T23:29:39Z")

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Wouldn’t surprise me that someone mistyped “20” as “2”.

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**Author:** ![Cell](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/cell/32/5524_2.png) [@Cell](https://community.gemsofwar.com/u/Cell)\
**Post date:** [May 16, 2016, 6:06am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/3 "2016-05-16T06:06:04Z")

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I have 1 3 star kingdom level 10 on moible (Whitehelm for a 40 glory boost) and soon after getting it to 3 star I went 27 collections over 3 days without getting a tribute from Whitehelm (all tributes even multi gave less then 40) (playing on my iPhone allows me to collect tribute 8+ times a day as my phone is always with me) the very next day I got 3 Whitehelm tributes in a row and another one later in the day.

I think what you have here Talia is a case of RNGesus having it in for you, go to a Casino and play the roulette wheel, just under 50-50 odds playing black/red, yet every time I got I find myself at a table with a 27 streak on a color, and usually when I bet it (or on my 2nd bet) the other color shows up, what are the odds of that? 😉

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**Author:** ![anon43026234](https://avatars.discourse-cdn.com/v4/letter/a/bb73d2/32.png) [@anon43026234](https://community.gemsofwar.com/u/anon43026234)\
**Post date:** [May 16, 2016, 9:31pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/4 "2016-05-16T21:31:43Z")

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> [@Strat](#):
>
> So it is supposed to pay out 20% of the time or 1 in 5 collections.

Every hour you have 20% chance. It dont stack. Its like you put 5 balls in a bag (4 white and 1 black). Every hour you pick 1 ball and see the result.

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**Author:** ![UKresistance](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/ukresistance/32/7558_2.png) [@UKresistance](https://community.gemsofwar.com/u/UKresistance)\
**Post date:** [May 17, 2016, 5:24am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/5 "2016-05-17T05:24:04Z")

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Ugh, I hope the devs check this. Sounds like the topic creator tested it pretty well.

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**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 17, 2016, 8:23pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/6 "2016-05-17T20:23:30Z")

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The implementation is pretty sraightforward, and not kingdom specific.

Each kingdom’s tribute is listed explicitly (we’ve had a few problems with this in the past).  
Three power simply multiplies the tribute chance by two. I don’t see any way that 3 power could do anything else.

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**Author:** ![anon43026234](https://avatars.discourse-cdn.com/v4/letter/a/bb73d2/32.png) [@anon43026234](https://community.gemsofwar.com/u/anon43026234)\
**Post date:** [May 17, 2016, 10:55pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/7 "2016-05-17T22:55:44Z")

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> [@Mr.Strange](#):
>
> Each kingdom’s tribute is listed explicitly

Only when we receive 1 tribute. When we receive tributes from 2 or more kingdoms, we have no idea which kingdoms gave the tributes. Would be nice to have the detailed list either directly or something like: press X to see tributes details.

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**Author:** ![Strat](https://avatars.discourse-cdn.com/v4/letter/s/2bfe46/32.png) [@Strat](https://community.gemsofwar.com/u/Strat)\
**Post date:** [May 23, 2016, 3:30pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/8 "2016-05-23T15:30:09Z")

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I’ve REALLY been watching this every collection, and the 3 Star Zaejin pays out 600Gold/12Glory/16Souls. So I can do some fast math when the collection screen comes up, even assuming anytime it could possibly be the three star payout it is still under 20% chance.

Does anyone else on the CONSOLE have three star kingdoms, if so, and are you getting about one in five on your 3 star kingdoms?

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**Author:** ![DemonicDraco](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/demonicdraco/32/2034_2.png) [@DemonicDraco](https://community.gemsofwar.com/u/DemonicDraco)\
**Post date:** [May 24, 2016, 12:42am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/9 "2016-05-24T00:42:27Z")

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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…

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**Author:** ![Strat](https://avatars.discourse-cdn.com/v4/letter/s/2bfe46/32.png) [@Strat](https://community.gemsofwar.com/u/Strat)\
**Post date:** [May 24, 2016, 1:03am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/10 "2016-05-24T01:03:38Z")

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Yeah, I’ve been VERY diligent in watching to Tribute collection. There is DEFINATLY something wrong with the percentage of updagraded kingdoms.

As the game stands it almost a wash on the console to upgrade your kingdoms:  
Level 10 gives all your bonuses to the enemy for PvP and challenges  
If you level your kingdom to 3 stars good luck collecting that kingdom, your better off staying at 1 star odds wise.

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**Author:** ![DemonicDraco](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/demonicdraco/32/2034_2.png) [@DemonicDraco](https://community.gemsofwar.com/u/DemonicDraco)\
**Post date:** [May 24, 2016, 1:06am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/11 "2016-05-24T01:06:08Z")

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@nex @Mr.Strange@Foresti

can we get one of you guys to check on this please?

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**Author:** ![HKdirewolf](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/hkdirewolf/32/21614_2.png) [@HKdirewolf](https://community.gemsofwar.com/u/HKdirewolf)\
**Post date:** [May 24, 2016, 2:11am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/12 "2016-05-24T02:11:36Z")

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It seems to me that tribute chance procs more with how many times a day you sign-in versus just signing in the one time a day.

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**Author:** ![Strat](https://avatars.discourse-cdn.com/v4/letter/s/2bfe46/32.png) [@Strat](https://community.gemsofwar.com/u/Strat)\
**Post date:** [May 24, 2016, 2:32am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/13 "2016-05-24T02:32:18Z")

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Yeah, I guess you did not know but you can collect tribute every 60 minutes.

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**Author:** ![HKdirewolf](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/hkdirewolf/32/21614_2.png) [@HKdirewolf](https://community.gemsofwar.com/u/HKdirewolf)\
**Post date:** [May 24, 2016, 4:20am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/14 "2016-05-24T04:20:13Z")

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If you were talking to me, I did know. This is what I meant in my post.

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**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")

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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.

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<div class="post-metadata">

**Author:** ![anon43026234](https://avatars.discourse-cdn.com/v4/letter/a/bb73d2/32.png) [@anon43026234](https://community.gemsofwar.com/u/anon43026234)\
**Post date:** [May 25, 2016, 5:34pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/16 "2016-05-25T17:34:16Z")

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And if I’m not mistaken 1 chance on 95,3 trillions to receive 20 tributes with 20 kingdoms at 20% 🙂

95 367 431 640 625 exactly. Am I right, @Mr.Strange ?

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**Author:** ![killerman3333](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/killerman3333/32/4068_2.png) [@killerman3333](https://community.gemsofwar.com/u/killerman3333)\
**Post date:** [May 25, 2016, 5:49pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/17 "2016-05-25T17:49:03Z")

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> [@Mr.Strange](#):
>
> - 27% chance of getting 1 tribute.\* 28.5% chance of getting 2 tributes.\* 19% chance of getting 3 tributes.

What makes it go up in chance then down, also i can assume this is the same for pc/app.

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**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 25, 2016, 6:04pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/18 "2016-05-25T18:04:42Z")

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> [@killerman3333](#):
>
> > [@Mr.Strange](#):
> >
> > - 27% chance of getting 1 tribute.\* 28.5% chance of getting 2 tributes.\* 19% chance of getting 3 tributes.
> 
> What makes it go up in chance then down, also i can assume this is the same for pc/app.

This is just how the math works for binomial expansions.

Imagine tossing 100 coins that can be either heads or tails. If we made a list of the chance of getting X heads, it would be something like this:

Chance of 1 heads : 0.0001%  
Chance of 5 heads : 0.01%  
Chance of 10 heads : 1%  
Chance of 20 heads : 12%  
Chance of 50 heads : 33%  
Chance of 80 heads : 12%  
Chance of 90 heads : 1%  
Chance of 95 heads : 0.01%

(totally made-up numbers)

This makes sense - you would expect that very high OR very low numbers of “heads” results would be improbable, with most results being in the 40-60 heads range.

Checking for tributes is just the same mathematically - except instead of a 50/50 chance, it’s a 10/90 or 20/80 chance. Which pushes everything to one side - but doesn’t change the essential bell-curve shape of the distribution.

If you use D20 for tabletop role-playing games, you can think of tribute as trying to roll a 1 or 2 on a D20. If you roll 20 D20s, and check how many were 1 or 2, that’s mathematically equivalent.

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**Author:** ![killerman3333](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/killerman3333/32/4068_2.png) [@killerman3333](https://community.gemsofwar.com/u/killerman3333)\
**Post date:** [May 25, 2016, 6:08pm UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/19 "2016-05-25T18:08:17Z")

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I thought the chance would either be constantly increasing or constantly decreasing, to think that their is a hump in the data is what has me confused.

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<div class="post-metadata">

**Author:** ![UKresistance](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/ukresistance/32/7558_2.png) [@UKresistance](https://community.gemsofwar.com/u/UKresistance)\
**Post date:** [May 26, 2016, 6:33am UTC](https://community.gemsofwar.com/t/tribue-chance-reduction-with-3-stars/6863/20 "2016-05-26T06:33:37Z")

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It’s actually quite simple as this formula demonstrates.

[http://sites.nicholas.duke.edu/statsreview/files/2013/06/normpdf1.jpg](http://sites.nicholas.duke.edu/statsreview/files/2013/06/normpdf1.jpg)

😆

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