Quick answer
You hold at least one pair in 19.02% of deals, the Gee Joon pair in 1.21% (about 1 in 83), and two pairs in 0.334% (about 1 in 300). In 53.62% of deals your best high hand is an ordinary point hand.
Two tiles
Every two-tile hand
A 32-tile set can make 496 different two-tile hands (32 tiles choose 2). This is how they split by class.
| Hand | Example | Hands | Share of 496 |
|---|---|---|---|
| Pair | 16 | 3.23% | |
| Wong | 8 | 1.61% | |
| Gong | 16 | 3.23% | |
| High Nine | 16 | 3.23% | |
| 9 points | 32 | 6.45% | |
| 8 points | 56 | 11.29% | |
| 7 points | 52 | 10.48% | |
| 6 points | 56 | 11.29% | |
| 5 points | 44 | 8.87% | |
| 4 points | 52 | 10.48% | |
| 3 points | 48 | 9.68% | |
| 2 points | 44 | 8.87% | |
| 1 point | 32 | 6.45% | |
| 0 points | 24 | 4.84% |
Four tiles
Your best high hand from four tiles
For each of the 35,960 deals we tried all three splits and kept the strongest high hand available. The share of deals in each class:
| Best high hand available | Deals | Share |
|---|---|---|
| A pair | 6,840 | 19.02% |
| Wong | 2,704 | 7.52% |
| Gong | 4,240 | 11.79% |
| High Nine | 2,896 | 8.05% |
| Points only | 19,280 | 53.62% |
Pairs
Pairs, Gee Joon and two pairs
| Event | Deals | Share | About 1 in |
|---|---|---|---|
| At least one pair | 6,840 | 19.02% | 5.3 |
| Gee Joon pair | 435 | 1.21% | 83 |
| Two pairs | 120 | 0.334% | 300 |
Two pairs need four tiles that form two of the 16 permitted pairs at once, which is why they are so rare. Most pairs you see will be a single pair with two loose tiles.
Setting
Equal splits and the obvious best play
In 2,872 deals (7.99%), two different splits give exactly the same low hand and the same high hand, tie-break included. Our practice trainer accepts either split in those deals.
In 12,000 deals (33.37%), one split is at least as strong as every other split in both hands. That is the “obvious best play” that our house-way guide takes first, and the hand calculator flags it.
Method
How we counted
- The set is the standard 32 tiles: 11 designs twice and 10 designs once, as listed on the tile chart.
- Hands are scored in the order on the hand rankings page: 16 pairs, then Wongs, Gongs, High Nines, then points from nine to zero, with single-tile rank breaking equal totals.
- Each Gee Joon tile counts as three or six, whichever is better, when it is not part of the pair.
- The figures describe your own four tiles only. They are not chances of beating a banker, and they do not include commissions or fees.
- The counting code is the same code that runs the hand calculator and trainer in your browser.
Data
Download the data
Pai Gow Tiles odds (CSV)
32-tile ranking (CSV)
Free to reuse under CC BY 4.0, please credit paigowtiles.com with a link.