Sichuan Mahjong

Sichuan Mahjong · 1 fan

Root (Gen) in Sichuan Mahjong: How It Scores, Examples and Odds

Root example: 1-2-3 and 3-4-5 characters and a pair of 3 characters — all four 3 characters in hand — plus 6-7-8 dots and a pung of 9 dots

In Sichuan mahjong, a root (根, gen) is worth 1 fan each: when you win, every kind of tile with all four copies in your own hand (tiles in hand plus your punged and konged sets) adds a root. You can have several, one fan each, added straight to everything else. Sichuan has few scoring patterns, and the root is the fan that most often turns a small hand into a bigger one.

1-2-3 and 3-4-5 characters and a pair of 3s, plus 6-7-8 dots and a pung of 9 dots: all four 3 characters are in hand — one root
On this page
  1. The rules for roots
  2. Where roots come from
  3. How roots are scored
  4. How it relates to other hands
  5. Root odds
  6. To kong or not
  7. FAQ

The rules for roots

Where roots come from

Kongs: the usual root

Exposed, upgraded or concealed — a kong is four tiles, so it always brings a root when you win.

Root (根) ×22 fan
Total2 fan
Each payer pays 4 units

Units = 2 to the power of fan, up to the cap. Self-draw bonus and kong payments come on top.

Konged 1 characters and 9 dots; in hand 2-3-4 characters and 5-6-7 dots, single wait on 8 dots: two roots, 1 fan × 2.

No kong: four tiles kept in hand

After a pung, drawing the fourth copy doesn't oblige you to upgrade; keeping it for a run still counts as a root:

Root (根)1 fan
Total1 fan
Each payer pays 2 units

Units = 2 to the power of fan, up to the cap. Self-draw bonus and kong payments come on top.

Punged 5 characters and kept the fourth for 4-5-6 characters: no kong, still a root.

Not konging means nobody can rob the kong and you show less; the cost is no kong money and no replacement draw (no chance of a win after a kong).

How roots are scored

Fan add up, and each extra fan doubles the payment, up to the cap of 4 fan. The hands below are scored live by the same code the game uses (the self-draw bonus and kong payments come on top).

Root (根)1 fan
Total1 fan
Each payer pays 2 units

Units = 2 to the power of fan, up to the cap. Self-draw bonus and kong payments come on top.

Four 3 characters split into 1-2-3, 3-4-5 and a pair: a plain hand becomes a root, 1 fan.
All pungs (對對胡)1 fan
Root (根)1 fan
Total2 fan
Each payer pays 4 units

Units = 2 to the power of fan, up to the cap. Self-draw bonus and kong payments come on top.

All Pungs with a kong of 4 characters: All Pungs + root.
Dragon seven pairs (龍七對)3 fan
Root (根)1 fan
Total4 fan
Each payer pays 16 units

Units = 2 to the power of fan, up to the cap. Self-draw bonus and kong payments come on top.

Dragon Seven Pairs with two sets of four: the first goes into the dragon, the second adds a root.

Common combinations:

CombinationFanEach payer pays
One root12 units
Two roots24 units
All Pungs + root24 units
Pure one suit + root38 units
Win after a kong + root (the kong is the root)24 units

How it relates to other hands

Root odds

In 40,000 hands of normal computer play there were 0.7 kongs per hand on average, and 19% of all wins carried a root — the most common fan apart from plain hands. Exactly one root: 17% of wins; two or more: 1.5%. Wins with a root averaged 1.2 fan, with each payer paying 2.6 units.

HandShare of wins
Plain hand (平胡)74%
Root (根)19%
Seven pairs (七對)3.9%
Pure one suit (清一色)1.4%
All pungs (對對胡)0.61%
Dragon seven pairs (龍七對)0.45%
Terminals in every set (全帶么)0.034%
Golden hook (金鉤釣)0.0035%
All 2-5-8 pungs (將對)0.00087%

Source: 40,000 hands of computer play on this site (four normal-level players, 115,067 wins in total), cap 4 fan.

To kong or not

To try it, open a table of online Sichuan mahjong — the computers play blood battle with you and count the fan for you.

FAQ

How many fan is a root?

1 fan per root, so two roots are 2 fan. Totals above the 4-fan cap count as the cap.

Does it count without a kong?

Yes. As long as all four copies are in your own hand (four in hand, or a pung with the fourth kept), it's a root.

Do you still get a root after konging?

Yes. The kong money is paid on the spot; when you win, the kong also counts as a root.

Do the four tiles in Dragon Seven Pairs count as a root?

The first four are part of Dragon Seven Pairs and don't count again; a second set of four adds a root.

Try it at the table

Sichuan Mahjong — Play Sichuan mahjong “blood battle” free in your browser against three computer opponents. 108 tiles, swap three, pick a void suit, pung and kong, and keep playing after someone wins. Automatic fan scoring, no sign-up.

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