Hong Kong Mahjong

Hong Kong Mahjong · 1 fan

Self-Drawn (Zi Mo) in Hong Kong Mahjong: Fan, Payment and Odds

Self-drawn example: 2-3-4 characters, 5-6-7 dots, a Red Dragon pung, 7-8-9 bamboo and a pair of 1 bamboo

In Hong Kong mahjong, Self-drawn (自摸) is worth 1 fan: you draw the winning tile from the wall yourself instead of claiming someone's discard.

It doesn't need a concealed hand — chows and pungs are fine. When you are one fan short of the minimum, self-draw is the most common way to get there.

Chowed 2-3-4 characters, a Red Dragon pung in hand, waiting on 6 or 9 bamboo and drawing 9 bamboo: Self-drawn + dragon pung + No Flowers — 3 fan
On this page
  1. The rules for Self-drawn
  2. How Self-drawn is scored
  3. Who pays on a self-draw
  4. How it relates to other hands
  5. Self-drawn odds
  6. Waiting for a self-draw or claiming
  7. Self-drawn in other mahjong styles
  8. FAQ

The rules for Self-drawn

How Self-drawn is scored

The fan below are computed live by the same scoring code the game uses.

Self-drawn (自摸)1
Dragon pung (三元牌)1
No flowers (無花)1
Total3 fan

Anything over 10 fan scores 10 (the limit).

Chowed 2-3-4 characters, a Red Dragon pung in hand, drew 9 bamboo yourself: Self-drawn + dragon pung + No Flowers — exactly 3 fan.
Dragon pung (三元牌)1
No flowers (無花)1
Total2 fan

Anything over 10 fan scores 10 (the limit).

The same hand, but the 9 bamboo is a discard: no Self-drawn, only 2 fan — short of the minimum, so you can't claim it.

Common combinations:

CombinationFan
Self-drawn1 fan
Self-drawn + Concealed + No Flowers3 fan
Self-drawn + dragon pung + No Flowers3 fan
Self-drawn + Win on a Kong2 fan
Self-drawn + Last Tile2 fan

Who pays on a self-draw

In Hong Kong mahjong all three opponents pay on a self-draw; on a discard win only the discarder pays. With this site's defaults (half-spicy, discarder pays):

So for the same fan, a self-draw collects one share more than a discard win — and it's worth one more fan as well. Since the half-spicy table pays more per fan as fan rise, a self-draw is almost always better.

How it relates to other hands

Self-drawn odds

Over 100,000 computer hands on this site, 55% of all wins were self-drawn, after 13.0 draws on average. Self-drawn wins averaged 3.4 fan; all wins averaged 3.4.

FanShare of wins
3 fan73%
4 fan20%
5 fan4.6%
6 fan1.2%
7 fan0.60%
8 fan0.48%
9 fan0.16%
10 fan · Limit0.42%

Source: 100,000 hands of computer play on this site (Normal level, 3-fan minimum, 10-fan limit).

The self-draw share is high because of the 3-fan minimum: many ready hands are too small to claim a discard and have to wait for the extra fan from a self-draw.

Waiting for a self-draw or claiming

To try it, open a table of online Hong Kong mahjong — the computers play with you and handle fan and payments for you.

Self-drawn in other mahjong styles

Every style has self-draws, but scores them differently:

FAQ

How many fan is Self-drawn?

In Hong Kong mahjong Self-drawn is worth 1 fan. Open hands count; a concealed self-draw also adds Concealed (1 fan).

Who pays on a self-draw?

Each of the other three pays 1 share. On a discard win only the discarder pays: 2 shares by default, 3 with the "discarder covers" option.

Does Win on a Kong count as a self-draw?

Yes. The kong replacement is your own draw, so you score Self-drawn (1 fan) plus Win on a Kong (1 fan).

Is Robbing a Kong a self-draw?

No. You win on the tile someone adds to their kong, like a discard, and score Robbing a Kong (1 fan).

Try it at the table

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