Hong Kong Mahjong

Hong Kong Mahjong · Limit

All Eight Flowers (Baat Sin Gwo Hoi) in Hong Kong Mahjong: Limit Hand and Odds

All Eight Flowers: all four seasons and all four plants

In Hong Kong mahjong, All Eight Flowers (八仙過海) is a limit hand, worth Limit: when all eight flowers — four seasons and four plants — are in front of you, you win on the spot, whether your hand is complete or not.

It's a flower win: what wins is the flowers, not your hand. So unlike the rest of the fan table it adds no Concealed, Self-drawn or other fan — it scores the 10-fan limit directly.

All eight flowers: All Eight Flowers, a limit hand
On this page
  1. The rules for All Eight Flowers
  2. How All Eight Flowers is scored
  3. How it relates to other hands
  4. All Eight Flowers odds
  5. FAQ

The rules for All Eight Flowers

How All Eight Flowers is scored

The fan below are computed live by the same scoring code the game uses — the tiles in hand don't matter at all.

All eight flowers (八仙過海)Limit
Total10 fan · Limit

Anything over 10 fan scores 10 (the limit).

Seven flowers already (all seasons, Plum, Orchid, Bamboo), then you draw Chrysanthemum: All Eight Flowers, scored at the limit even though the hand isn't complete.
SituationFan
All eight flowers (All Eight Flowers)Limit
Seven flowers, someone else draws the eighth (Seven Rob One)Limit
One full set of four (Flower Set)2 fan
One flower of your seat (Own Flower)1 fan

How it relates to other hands

All Eight Flowers odds

All eight flowers ending up with one player is very rare. Over 100,000 computer hands on this site, All Eight Flowers happened 3 times — roughly once every 33,000 hands; straight from the opening replacement it happened 0 times in 400,000 deals.

Even four or more flowers after the deal happens only 0.60% of the time per seat:

Flowers after the opening replacementChance
045%
137%
214%
33.3%
4+ tiles0.60%

Source: 400,000 deals on this site (144 tiles with flowers; each seat counted after the opening flower replacement).

FAQ

How many fan is All Eight Flowers?

In Hong Kong mahjong All Eight Flowers is a limit hand, scored at the 10-fan limit with no other fan added.

Does my hand need to be complete?

No. You win the moment the eighth flower arrives, whatever your hand looks like.

Who pays for All Eight Flowers?

It's scored as a self-draw, so each of the other three pays 1 share.

What if I have seven flowers and someone else draws the eighth?

You still win — that's Seven Rob One, also a limit hand, paid by the player who drew it. You can see flower replacement in action at a table of online Hong Kong mahjong.

Try it at the table

Hong Kong Mahjong — Play classic Hong Kong (Cantonese) mahjong free in your browser against three computer opponents. 13-tile hands, flowers, 3-fan minimum, 10-fan limit and automatic fan scoring. No sign-up, works on phone and desktop.

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