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How Rare Are Mahjong Special Hands? — Real Game Data

The gap between special hands is enormous: a Half Flush turns up every few dozen hands, while limit hands like Thirteen Orphans and Nine Gates appear once in thousands of hands, if at all. Here are the actual per-hand figures from our platform.

Based on 162,390 hands played since 10 August 2026 · Updated 4 November 2026

Special hands, rarest first

HandFaanHands won with itShare of handsRoughly
Heavenly Hand 天胡 · concealed only13Not yet seen——
Great Four Winds 大四喜13Not yet seen——
Small Four Winds 小四喜620.0012%1 in 81,195 hands
Great Three Dragons 大三元830.0018%1 in 54,130 hands
Nine Gates 九蓮寶燈 · concealed only10130.0080%1 in 12,492 hands
Thirteen Orphans 十三幺 · concealed only13170.011%1 in 9,552 hands
Small Three Dragons 小三元5270.017%1 in 6,014 hands
Jade Dragon 翡翠龍10700.043%1 in 2,320 hands
Pearl Dragon 珍珠龍10730.045%1 in 2,225 hands
Ruby Dragon 紅寶龍10940.058%1 in 1,728 hands
Seven Pairs 七對子 · concealed only46130.378%1 in 265 hands
Full Flush 清一色71,5070.928%1 in 108 hands

For comparison — everyday hands

Everyday hands turn up far more often — the contrast is what puts the special hands in perspective.

HandFaanHands won with itShare of handsRoughly
Self-Drawn Win 自摸16,6734.11%1 in 24 hands
Chicken Hand 雞糊06,4263.96%1 in 25 hands
Half Flush 混一色36,0573.73%1 in 27 hands
All Pungs 對對胡33,9042.40%1 in 42 hands

How this data is measured

Every online hand is counted the moment it completes. The denominator is every completed hand, draws included; the numerator is how many of those hands were won with the pattern. A sixteen-hand match records sixteen hands, each attributed to that hand's own winner.

How to read it: only tables with at least one real player are counted, and a pattern is only recorded when a real player wins the hand. Hands won by computer opponents still count toward the total but never toward a pattern, so these rates are a conservative floor. Bootcamp and offline games are excluded.

Why some hands are almost never seen

Two structural reasons. First, each honour tile has only four copies — Great Three Dragons needs three each of Red, Green and White, so nine of just twelve tiles, none of which an opponent may pung away. Second, the concealed requirement: Thirteen Orphans, Nine Gates and Seven Pairs allow no claimed melds at all, so every tile must be self-drawn. That is dramatically slower, and most such hands are overtaken by another player's win or an exhausted wall.

Should you chase one?

Rare does not mean never worth chasing — what matters is when to commit and when to walk away. A hand is only worth pursuing when your opening tiles already qualify; switching mid-game usually lands you between two plans. The companion page lists the exact entry thresholds and abandon signals:

Frequently asked questions

How rare is Thirteen Orphans?

Thirteen Orphans is among the hardest hands in mahjong: you must collect one of each of the thirteen terminals and honours with no claimed melds at all. On our platform its occurrence rate is among the lowest of any hand — the table below gives the exact share of hands and roughly how many hands pass between sightings.

What is the rarest mahjong hand?

Generally the hands that must stay fully concealed (Thirteen Orphans, Nine Gates, Seven Pairs) and those needing all four winds or all three dragons (Great Four Winds, Great Three Dragons). With only four copies of each honour tile, one pung by an opponent can kill the hand outright.

How is this data calculated?

Every online hand is recorded live as it completes. The denominator is all completed hands, draws included; the numerator is the number of those hands a real player won with the pattern. Only tables with at least one real player count, and hands won by computer opponents count toward the total but never toward a pattern, so the figures are a conservative floor. Bootcamp and offline games are excluded.

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