Riichi Mahjong

Riichi Mahjong · Yakuman

Daisangen (Big Three Dragons) in Riichi Mahjong: Rules, Examples, Pao and Odds

Daisangen example: three each of white, green and red dragon, 2-3-4 characters and a pair of 9 dots

In riichi mahjong, Daisangen (big three dragons) is a yakuman: all three dragons — white, green and red — as triplets or quads, with any set and pair to finish. It stays a yakuman when called, which makes it the most common yakuman you can build with open calls.

Triplets of white, green and red dragon: daisangen
On this page
  1. The rules for Daisangen
  2. How Daisangen is scored
  3. Pao: the player who feeds the third dragon pays
  4. How it relates to other yaku
  5. Daisangen odds
  6. Playing around Daisangen
  7. Daisangen in other mahjong styles
  8. FAQ

The rules for Daisangen

With one dragon as the pair instead, it's the 2-han shousangen. Yakuman don't add up with normal yaku, so the three yakuhai, toitoi or honitsu inside daisangen aren't counted.

How Daisangen is scored

The yaku and points below are computed live by the same scoring code the game uses.

DaisangenYakuman
TotalYakuman · 32,000 points

Non-dealer, East round, no dora, no honba.

Pon on white and green, a shanpon wait on red dragon and 9 dots, ron on red: daisangen.
DaisangenYakuman
TsuuiisouYakuman
Total2× yakuman · 64,000 points

Non-dealer, East round, no dora, no honba.

White and green called, red concealed, a shanpon on East and South, ron on South: all honors, so daisangen plus tsuuiisou — a double yakuman.

Yakuman stack with each other: daisangen + tsuuiisou and daisangen + suuankou are both double yakuman.

Pao: the player who feeds the third dragon pays

If a player already showing two dragon sets calls pon (or an open kan) on the third dragon, whoever discarded it becomes liable (pao):

In this game pao only applies to daisangen and daisuushii, as on Tenhou (Mahjong Soul adds suukantsu). Once someone shows two dragons, don't discard the third, even if none of it has been seen yet.

How it relates to other yaku

Daisangen odds

Starting with pairs of all three dragons

Daisangen needs three of each dragon. In a 13-tile starting hand, all three dragons are already a pair or better only 0.0049% of the time; two or more dragons, 0.46%.

Dragons held as a pair or betterChance
1+ kinds13%
2+ kinds0.46%
3+ kinds0.0049%

Source: 1,000,000 random 13-tile deals.

How often it happens in play

Four normal-level computers played 40,000 hands on this site's table with 33,226 wins. All yakuman together came up 15 times (13 of them kokushi musou); daisangen didn't appear once. The computers play for speed and never wait on the third dragon; people who aim for it will see it a bit more, but they're also easier to read.

Playing around Daisangen

Daisangen in other mahjong styles

FAQ

How many han is Daisangen?

Daisangen is a yakuman, so it isn't counted in han; it stays a yakuman when called. Together with tsuuiisou or suuankou it's a double yakuman.

Can you call for Daisangen?

Yes. Calling all three dragons is still a yakuman, but whoever feeds the third dragon is liable (pao).

What's the difference between Daisangen and Shousangen?

Daisangen is all three dragons as triplets (yakuman); shousangen is two triplets plus a dragon pair (2 han).

Try it at the table

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