Taiwanese Mahjong

Taiwanese Mahjong · 16 tai

Big Four Winds (Da Si Xi) in Taiwanese Mahjong: Tai, Examples and Odds

Big Four Winds example: three each of East, South, West and North, plus a run of characters and a pair of 9 dots

In Taiwanese mahjong, Big Four Winds (大四喜, da si xi) is worth 16 tai: when you win, East, South, West and North are all pungs (or kongs). It already includes round wind, seat wind, Little Four Winds and All Pungs; none of those are added.

Pungs of East, South, West and North; the last set and the pair can be anything: Big Four Winds
On this page
  1. The rules for Big Four Winds
  2. How Big Four Winds waits
  3. How Big Four Winds is scored
  4. How it relates to other hands
  5. Big Four Winds odds
  6. When to go for Big Four Winds
  7. Big Four Winds in other mahjong styles
  8. FAQ

The rules for Big Four Winds

How Big Four Winds waits

The most common shape is two pairs: three wind pungs done, a pair of the fourth wind and another pair.

Winning on North is Big Four Winds (16 tai); winning on 9 characters is Little Four Winds (8 tai)

Once all four wind pungs are in place, the rest can wait any way — two-sided, edge or single wait, it's still Big Four Winds.

How Big Four Winds is scored

The tai below are computed live by the same scoring code the game uses (dealer and dealer-streak tai are added on top).

Big four winds (大四喜)16
Total16 tai

Dealer and dealer-streak tai are added on top.

East round, East seat, punged East and South, three Wests and three Norths in hand, waiting on 2 or 5 characters, someone discards 5 characters: East is both round and seat wind, but Big Four Winds already includes them — Big Four Winds 16 tai only.
Big four winds (大四喜)16
One suit with honors (混一色)4
Total20 tai

Dealer and dealer-streak tai are added on top.

The same winds with a pair of 9 characters instead, everything else characters: Big Four Winds plus Half One Suit.

Common combinations:

CombinationTai
Big Four Winds16
Big Four Winds + Dragon Pung17
Big Four Winds + Half One Suit20
Big Four Winds + All Honors32
Big Four Winds + All Honors + Dragon Pung33

How it relates to other hands

Big Four Winds odds

What your opening hand needs

Big Four Winds needs three of every wind — all twelve of those tiles in one hand. In a random 16-tile opening hand:

Opening handChance
Three or more winds as a pair (or better)0.06%
All four winds as a pair (or better)0.0008%
8 or more honor tiles0.50%

Even with pairs of all four winds at the start, you still need one more of each — Big Four Winds is one of the hardest hands in Taiwanese mahjong.

Big Four Winds in computer play

In 12,000 hands of normal-level computer play there were 11,677 wins, and 0 of them were Big Four Winds. The computers never hold tiles for it and the sample is far too small to measure a hand this rare; that would take vastly more games.

When to go for Big Four Winds

To try it, open a table of online Taiwanese mahjong — the computers play with you and count the tai for you.

Big Four Winds in other mahjong styles

FAQ

How many tai is Big Four Winds?

In Taiwanese mahjong Big Four Winds is worth 16 tai, including round wind, seat wind, Little Four Winds and All Pungs. It still stacks with Half One Suit, All Honors, dragon pungs, concealed pungs and concealed self-draw.

Does Big Four Winds add All Pungs?

Not on this site. The four wind sets are pungs by definition, so Big Four Winds' 16 tai already includes it. Some tables add it anyway — agree before you play.

How many tai is Big Four Winds with All Honors?

Big Four Winds 16 tai plus All Honors 16 tai, 32 tai; if the last set is a dragon pung, add 1 more.

What's the difference between Big and Little Four Winds?

Big Four Winds is all four winds as pungs, 16 tai; Little Four Winds is three wind pungs with the fourth as the pair, 8 tai.

Try it at the table

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