Riichi Mahjong

Riichi Mahjong · Closed 1 / open 1

Houtei Raoyui (Last Discard Win) in Riichi Mahjong: Rules, Scoring and Odds

Houtei example: a chi of 7-8-9 characters, 1-2-3 characters, 7-8-9 dots, a pair of 2 bamboo and 4-6 bamboo winning on a discarded 5 bamboo

In riichi mahjong, Houtei raoyui is worth 1 han: whoever draws the last tile of the wall must still discard one tile — the final discard of the hand. If you win by ron on it, you get houtei. It's 1 han open or closed and a yaku on its own.

An open hand with no yaku, kanchan wait on 5 bamboo: ron the final discard, a 5 bamboo, with houtei
On this page
  1. The rules for Houtei
  2. How Houtei is scored
  3. Rules for the final discard
  4. Houtei odds
  5. Houtei in other mahjong styles
  6. FAQ

The rules for Houtei

How Houtei is scored

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

Houtei raoyui1 han
Total1 han 30 fu · 1,000 points

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

Open hand with a chi of 7-8-9 characters and no yaku, waiting on 5 bamboo: ron on the final discard, houtei alone.
Riichi1 han
Houtei raoyui1 han
Pinfu1 han
Total3 han 30 fu · 3,900 points

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

Riichi with a two-sided wait on 8 bamboo, and the final discard is an 8 bamboo: riichi, pinfu and houtei.

Houtei is a ron, so fu are counted like any ron. Unlike haitei, there's no menzen tsumo to add on top.

Rules for the final discard

Houtei odds

There's only one final discard per hand, and most hands end before it. In 40,000 hands between four computers at normal level, houtei was 0.77% of all wins — about once every 156 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%.

Houtei in other mahjong styles

Not every style rewards winning on the last discard:

FAQ

How many han is Houtei?

Houtei is 1 han, and 1 han when open. It's a yaku on its own.

Can you call pon on the final discard?

No. The final discard can only be won by ron or passed; chi, pon and kan aren't allowed.

What's the difference between Houtei and Haitei?

Haitei is your own tsumo on the last tile; houtei is a ron on the discard of whoever drew the last tile. Both are 1 han, one by tsumo and one by ron. To play out the end of a hand yourself, try free online riichi mahjong and keep going until the wall runs out.

Try it at the table

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