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We simulated 1.7 million Thulla rounds: what the numbers show

By Abdul Rauf · Updated

Thulla is a game of tracking and nerve, but how much of it is skill, how long does a game really last, and how does it usually end? We do not have to guess. Thulla Champions has a real rules engine, and bots that play full games on it, so we let them play 1.7 million rounds and counted.

How we ran it

An honest limit. These are bots, not people. Hard is a strong, tidy player; a human plays with moods, bluffs and mistakes. Read the results as a map of how the rules behave, not as a forecast for your next game.

How games end

With four Hard bots, 71.8% of games end in a shootout: two players are left, they share no suit, and the result is already settled. A draw (everyone plays their last card in the same trick) happens in about 0.03% of games, about once in 3,000. The other games run to a normal finish.

The shootout is much rarer when the players are not as sharp: with four Easy bots it ends 29.7% of games, and with four Medium bots 44.0%.

How long does a game last?

PlayersTricks per gameThullas per gameCards in an average pile
321.84.82.7
422.07.72.9
523.39.93.1
625.212.33.2

All Hard bots. A game is between 22 and 25 tricks whatever the table size, but more players means more thullas: with more people it is more likely that somebody is out of the suit that was led. Two-player games are different: the Hard bots averaged 0.0 thullas per game (the table rounds it) over 100,000 games, and every one of those games ended in a shootout.

How much is skill worth?

This is the table that surprised us most. One bot sits at a four-player table with three opponents of another strength, 100,000 games each. If it were all luck, every player would lose 25% of the time.

One …against three …LosesEach opponent loses
HardEasy1.0%33.0%
HardMedium2.0%32.7%
MediumEasy12.1%29.3%
EasyHard80.3%6.6%
HardHard25.1%24.9%
MediumMedium25.3%24.9%
EasyEasy25.1%25.0%

So Thulla is not a game where the cards decide everything. The deal gives a lucky or unlucky hand, but over a hundred games the player who tracks suits and plans the ending almost never ends up last.

What this means for you

Run it yourself

The program is in the project as engine/CardGame.Engine.Sim. It plays rounds from deals that come from the shuffle seeds label:0, label:1 and so on, so a result can be checked. We keep the raw output with the date it was run.

More: odds of being the Bhabhi · how the bots think · try the bots yourself

Frequently asked questions

How were the Thulla rounds simulated?

We ran whole rounds on the same rules engine the game server uses, with the same bots, from reproducible shuffles. Each table was 100,000 rounds, 17 tables in all.

Does luck or skill decide Thulla?

Both. Against equal players everyone loses 25% of four-player games. But a strong player against three weak ones loses about 1 game in 100, so skill matters a great deal over many games.

How long is a game of Thulla?

About 22 tricks at a four-player table with strong players, with around 8 thullas, and each thulla hands someone about 3 cards.

Are the results about real players?

No. They describe the bots. People play differently, so use the numbers as a map of how the rules behave rather than as a prediction for your own table.

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