Riichi Mahjong

Riichi Mahjong · Closed 1 / open 1

Rinshan Kaihou (After a Kan) in Riichi Mahjong: Rules, Scoring and Odds

Rinshan kaihou example: a closed kan of 9 characters, 1-2-3 characters, 4-5-6 dots, 7-8-9 bamboo and a single wait on 4 bamboo

In riichi mahjong, Rinshan kaihou is worth 1 han: after a kan you draw a replacement tile from the dead wall (the "rinshan"), and if that tile completes your hand, you win with rinshan kaihou. It's a luck yaku — 1 han open or closed — and it's a yaku in its own right, so you don't need any other yaku to win.

After a closed kan of 9 characters you wait on 4 bamboo — and the replacement tile is 4 bamboo
On this page
  1. The rules for Rinshan kaihou
  2. How Rinshan kaihou is scored
  3. What to know before you call kan
  4. Rinshan kaihou odds
  5. Rinshan kaihou in other mahjong styles
  6. FAQ

The rules for Rinshan kaihou

How Rinshan kaihou is scored

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

Menzen tsumo1 han
Rinshan kaihou1 han
Total2 han 60 fu · 1,000 / 2,000 points

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

Closed kan of 9 characters, the replacement tile is the 4 bamboo you were waiting on: menzen tsumo plus rinshan kaihou. A closed kan of terminals is 32 fu, so the fu run high.
Rinshan kaihou1 han
Yakuhai: red dragon1 han
Total2 han 40 fu · 700 / 1,300 points

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

Open kan of red dragons, the replacement tile is your winning 9 bamboo: red dragon plus rinshan kaihou. The hand is open, so no menzen tsumo.

Rinshan kaihou is a tsumo win, so the 2 fu for tsumo still count. A closed kan keeps the hand closed, so menzen tsumo stacks with it. A kan is never a sequence, so pinfu is impossible.

What to know before you call kan

Rinshan kaihou odds

You need to call kan yourself and then draw exactly your winning tile, so it's rare. In 40,000 hands between four computers at normal level, rinshan kaihou was 0.13% of all wins — about once every 952 hands.

YakuShare of wins
Ippatsu8.9%
Houtei raoyui0.77%
Haitei raoyue0.55%
Double riichi0.21%
Rinshan kaihou0.13%
Chankan0%

Source: 40,000 computer hands on this site (all four at normal level), 33,226 wins. A win usually has several yaku, so the shares add up to more than 100%.

Rinshan kaihou in other mahjong styles

"Win on the kan replacement tile" exists everywhere, usually called "flower on the kong":

FAQ

How many han is Rinshan kaihou?

Rinshan kaihou is 1 han, and 1 han when open. It's a yaku on its own, so no other yaku is needed.

Can you get Rinshan kaihou by ron?

No. It only counts for tsumo on the replacement tile after a kan. Winning on the tile someone adds to their pon is chankan.

Does Rinshan kaihou stack with Haitei?

No. Even if the replacement tile is the last draw, only rinshan kaihou counts.

What's the downside of calling kan?

Every kan adds a dora that everyone can use, and an open kan breaks your closed hand. To get a feel for when to kan, play a few hands of free online riichi mahjong against the computers.

Try it at the table

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