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Pai Gow Tiles hand rankings

Use this order every time: pairs, Wongs, Gongs, High Nines, then ordinary point hands from nine down to zero.

Quick answer

Check for a pair before counting points. The 16 pairs outrank every other hand. Below them come Wongs, Gongs, High Nines and ordinary totals from nine down to zero.

Ranks 1–16

Every permitted pair

Gee Joon is the only pair made from two tiles with different names and values that do not form one of the four mixed-number groups. The next 11 are visually matched pairs. The last four combine the two different ways to make nine, eight, seven or five.

The 16 permitted pairs from highest (1) to lowest (16).
Pair rankTilesPairType
1Gee Joon1–2 + 2–4Supreme pair
2Teen6–6 + 6–6Matched pair
3Day1–1 + 1–1Matched pair
4Yun4–4 + 4–4Matched pair
5Gor1–3 + 1–3Matched pair
6Mooy5–5 + 5–5Matched pair
7Chong3–3 + 3–3Matched pair
8Bon2–2 + 2–2Matched pair
9Foo5–6 + 5–6Matched pair
10Ping4–6 + 4–6Matched pair
11Tit1–6 + 1–6Matched pair
12Look1–5 + 1–5Matched pair
13Chop Gow3–6 + 4–5Mixed pair
14Chop Bot2–6 + 3–5Mixed pair
15Chop Chit2–5 + 3–4Mixed pair
16Chop Ng1–4 + 2–3Mixed pair

Below every pair

Wongs, Gongs and High Nines

WongTeen or Day + 9

A Teen Wong outranks a Day Wong.

GongTeen or Day + 8

A Teen Gong outranks a Day Gong.

High NineTeen or Day + 7

It beats an ordinary nine-point hand.

The nine, eight or seven may be either tile with that point value. The identity of Teen or Day decides the stronger version.

Ordinary point hands

Add the dots and keep the final digit. Nine is best; zero is worst. A total of 19 is nine, while 10 and 20 are zero.

PairsthenWongsthenGongsthenHigh Ninesthen9 to 0

When both hands have the same total

The hand containing the higher-ranked single tile wins. Teen is the highest single tile, followed by Day. Gee Joon is the lowest single-tile rank even though the two Gee Joon tiles form the highest pair.

If both hands have the same total and the same highest tile, the banker wins the copy. Under the Fallsview rules, a tied zero also goes to the banker regardless of the high tile.

Ranks at a glance

The full ranking in one table

This table puts every class in order and shows how many of the 496 possible two-tile hands fall into each one. Wongs are the rarest named hand; pairs, Gongs and High Nines each turn up 16 ways.

All 496 two-tile hands a 32-tile set can make, from strongest class to weakest. Example tiles are one way to make each hand.
HandExampleHandsShare of 496
Pair163.23%
Wong81.61%
Gong163.23%
High Nine163.23%
9 points326.45%
8 points5611.29%
7 points5210.48%
6 points5611.29%
5 points448.87%
4 points5210.48%
3 points489.68%
2 points448.87%
1 point326.45%
0 points244.84%

Examples

Wongs, Gongs and High Nines, tile by tile

Each special hand needs Teen or Day plus a tile of the right point value. There are two nine-point tiles, four eight-point tiles and four seven-point tiles in the set, so Gongs and High Nines are twice as common as Wongs.

Wongs, Gongs and High Nines from strongest to weakest. “Ways in a set” counts the two-tile combinations a 32-tile set can make (8 Wongs, 16 Gongs and 16 High Nines in all).
OrderHandExampleMade withWays in a set
1Teen WongTeen + a nine-point tile4
2Day WongDay + a nine-point tile4
3Teen GongTeen + an eight-point tile8
4Day GongDay + an eight-point tile8
5Teen High NineTeen + a seven-point tile8
6Day High NineDay + a seven-point tile8

Every combination, with the common mistakes, is on the Wongs, Gongs and High Nines guide.

Read the tiles

Worked examples

1

Teen Wong, not one point

Teen Wong

Twelve plus nine is 21, which would be a one-point hand. Because the hand holds Teen and a nine-point tile, it is a Wong and beats every point hand.

2

Day Gong beats a nine

Day Gong

Day plus Yun is ten pips, but the hand is a Gong. A Gong outranks a High Nine and any ordinary nine-point hand.

3

Gee Joon makes 4 points

4 points

The 2–4 counts as six here: six plus eight is 14, so four points. Counted as three it would make 11, only one point. It is not a Gong, because Gee Joon is not Teen or Day.

4

Equal totals: the higher tile wins

8 points beats 8 points

Teen with Chong is 18, so eight points. Ping with Chop Bot is also eight. Teen is the top single tile and Ping ranks ninth, so the Teen hand wins.

The numbers

How often each hand shows up

Across all 35,960 ways to deal four tiles from the set, this is the strongest high hand each deal can make. More than half the time you have only point hands to work with.

The strongest high hand you can make from your four tiles, counted over all 35,960 possible deals.
Best high hand availableDealsShare
A pair6,84019.02%
Wong2,7047.52%
Gong4,24011.79%
High Nine2,8968.05%
Points only19,28053.62%

The full method and a downloadable CSV are on the Pai Gow Tiles odds page.

Two pairs

How rare are two pairs?

Two pairs in one four-tile deal happen in 120 of the 35,960 possible deals: 0.334%, or about 1 deal in 300. At least one pair shows up in 19.02% of deals, and the Gee Joon pair in 1.21%, about 1 in 83.

When two pairs do arrive, the usual play is one pair in each hand. Our hand-setting guide and house-way guide explain why, and the hand calculator shows every split.

Do not turn the names into arithmetic

A Wong is not merely a total of 21. It must contain Teen or Day and a nine-point tile. The actual tile designs matter.