Editing Pai gow (section)

=== Scoring ===
Each player groups their four tiles into two hands of two tiles each.<ref name=WGMa>{{cite web |url=https://wgm8.com/pai-gow-part-a-the-tiles-and-basic-play/ |title=Pai gow part A: the tiles and basic play |author=Yao, Pai |date=30 June 2012 |website=World Gaming Magazine |access-date=22 September 2023}}</ref> The two hands are referred to as the "high" and "low" hands, based on their score.<ref name=WGMa />

The highest-ranked hands are formed from the sixteen ''named pairs''.<ref name=WGMb>{{cite web |url=https://wgm8.com/pai-gow-part-b-pairs-and-standard-hands/ |title=Pai gow part B: pairs and standard hands |author=Yao, Pai |date=31 August 2012 |website=World Gaming Magazine |access-date=22 September 2023}}</ref> Otherwise, the next highest-ranked hand results from creating a ''Gong'' or ''Wong'', which are specific combinations with the ''Day'' and ''Teen'' tiles. If the four tiles drawn for the two hands do not permit the formation of a named pair, Gong, or Wong, then the total number of pips on both tiles in a hand are added using [[modular arithmetic]] ([[modulo]] 10), equivalent to how a hand in [[baccarat]] is scored.

The name "pai gow" is loosely translated as "make nine" or "card nine".<ref name=WGMa /> This reflects the fact that, with the exception of named pairs, Gong, or Wong, the maximum score for a hand of mixed tiles is nine.

==== Named pairs ====
{|class="wikitable floatright" style="font-size:85%;text-align:center;width:15em;"
|+Pai Gow named pairs (''Bo'')<ref name=Helprin86 />{{rp|204;206}}<ref name=WGMb />
! Rank !! colspan=2 | Example !! Pips !! Name
|-
! 1 (highest)
| [[File:CDomino 4-2.svg|frameless|upright=0.1]] || [[File:CDomino 1-2.svg|frameless|upright=0.1]]
| 4+2, 1+2
| style="font-size:90%;" | Supreme<br />''Gee Joon''<br />(至尊)
|-
| colspan=5 style="background:#aaa;font-size:40%;" | &nbsp;
|-
! 2
| [[File:CDomino 6-6.svg|frameless|upright=0.1]] || [[File:CDomino 6-6.svg|frameless|upright=0.1]]
| (6+6)×2
| style="font-size:90%;" | Heaven<br />''Teen''<br />(天)
|-
! 3
| [[File:CDomino 1-1.svg|frameless|upright=0.1]] || [[File:CDomino 1-1.svg|frameless|upright=0.1]]
| (1+1)×2
| style="font-size:90%;" | Earth<br />''Day''<br />(地)
|-
! 4
| [[File:CDomino 4-4.svg|frameless|upright=0.1]] || [[File:CDomino 4-4.svg|frameless|upright=0.1]]
| (4+4)×2
| style="font-size:90%;" | People<br />''Yun''<br />(人)
|-
! 5
| [[File:CDomino 3-1.svg|frameless|upright=0.1]] || [[File:CDomino 3-1.svg|frameless|upright=0.1]]
| (3+1)×2
| style="font-size:90%;" | Goose<br />''Gor''<br />(鵝)
|-
! 6
| [[File:CDomino 5-5.svg|frameless|upright=0.1]] || [[File:CDomino 5-5.svg|frameless|upright=0.1]]
| (5+5)×2
| style="font-size:90%;" | Plum<br />''Mooy''<br />(梅)
|-
! 7
| [[File:CDomino 3-3.svg|frameless|upright=0.1]] || [[File:CDomino 3-3.svg|frameless|upright=0.1]]
| (3+3)×2
| style="font-size:90%;" | Long<br />''Chong''<br />(長)
|-
! 8
| [[File:CDomino 2-2.svg|frameless|upright=0.1]] || [[File:CDomino 2-2.svg|frameless|upright=0.1]]
| (2+2)×2
| style="font-size:90%;" | Board<br />''Bon''<br />(板)
|-
! 9
| [[File:CDomino 5-6.svg|frameless|upright=0.1]] || [[File:CDomino 5-6.svg|frameless|upright=0.1]]
| (5+6)×2
| style="font-size:90%;" | Ax<br />''Foo''<br />(斧)
|-
! 10
| [[File:CDomino 4-6.svg|frameless|upright=0.1]] || [[File:CDomino 4-6.svg|frameless|upright=0.1]]
| (4+6)×2
| style="font-size:90%;" | Partition<br />''Ping''<br />(屏)
|-
! 11
| [[File:CDomino 1-6.svg|frameless|upright=0.1]] || [[File:CDomino 1-6.svg|frameless|upright=0.1]]
| (1+6)×2
| style="font-size:90%;" | Seven<br />''Tit''<br />(七)
|-
! 12
| [[File:CDomino 1-5.svg|frameless|upright=0.1]] || [[File:CDomino 1-5.svg|frameless|upright=0.1]]
| (1+5)×2
| style="font-size:90%;" | Six<br />''Look''<br />(六)
|-
| colspan=5 style="background:#aaa;font-size:40%;" | &nbsp;
|-
! 13
| [[File:CDomino 3-6.svg|frameless|upright=0.1]] || [[File:CDomino 4-5.svg|frameless|upright=0.1]]
| 3+6, 4+5
| style="font-size:90%;" | Nines<br />''Chop Gow''<br />(紮九)
|-
! 14
| [[File:CDomino 3-5.svg|frameless|upright=0.1]] || [[File:CDomino 2-6.svg|frameless|upright=0.1]]
| 3+5, 2+6
| style="font-size:90%;" | Eights<br />''Chop Bot''<br />(紮八)
|-
! 15
| [[File:CDomino 3-4.svg|frameless|upright=0.1]] || [[File:CDomino 2-5.svg|frameless|upright=0.1]]
| 3+4, 2+5
| style="font-size:90%;" | Sevens<br />''Chop Chit''<br />(紮七)
|-
! 16 (lowest)
| [[File:CDomino 3-2.svg|frameless|upright=0.1]] || [[File:CDomino 1-4.svg|frameless|upright=0.1]]
| 3+2, 1+4
| style="font-size:90%;" | Fives<br />''Chop Ng''<br />(紮五)
|}
The 32 tiles in a Chinese dominoes set can be arranged into 16 named pairs. Eleven of these pairs have identical tiles, and five of these pairs are made up of two tiles that have the same total number of pips, but in different groupings. The latter group includes the Gee Joon tiles, which can score the same, whether as three or six.

Any hand consisting of a pair outscores a non-pair, regardless of the pip counts. Named pairs are often thought of as being worth 12 points each, but there is a hierarchy within the named pairs.

The pairs are considered to tell the story of creation:
# ''Gee Joon'' (至尊) is the highest ranked pair, and is the Supreme Creator of the universe
# ''Teen'' (天) is the [[wikt:heavens|heavens]], the first thing Gee Joon created.
# ''Day'' (地) is the earth itself, placed under the heavens.
# ''Yun'' (人) is man, whom Gee Joon made to live upon the earth.
# ''Gor'' (鵝) is [[goose|geese]], made for man to eat.
# ''Mooy'' (梅) is plum flowers, to give the earth beauty.

Each subsequent pair is another step in the story...robes (''Bon'') for man to wear, a hatchet (''Foo'') to chop wood, partitions (''Ping'') for a house, man's seventh (''Tit'') and eighth (''Look'') children.

[[File:Pai Gow Example 3.svg|thumb|left|The matching pair of eights (''Yun'', left) is worth more than the non-matching pair of eights (''Chop Bot'', right).]]
Only the sixteen named pairs are valid. For example, if a hand contained a ''Yun'' (4-4) and a ''Chop Bot'' (3-5 or 2-6), these would not form a pair at all, despite both tiles having eight pips each. A Yun (4-4) exclusively pairs with the other Yun, and likewise only the two Chop Bot tiles can be paired together. Likewise, tiles with six pips (''Look'', 1-5, pairs with another Look, not the ''Gee Joon'' 2-4) and seven pips (''Tit'', 1-6, pairs with another Tit, not the two ''Chop Chit'' tiles 2-5 and 3-4, which pair with each other) are subject to the same pairing restrictions.<ref name=WGMb />

When the player and dealer both have a pair, the higher-ranked pair wins. Ranking pairs is determined not by the sum of the tiles' pips, but rather by aesthetics; the order must be memorized. The highest pairs are the Gee Joon tiles, the Teens, the Days, and the red eights. The lowest pairs are the mismatched nines, eights, sevens, and fives.

==== Wongs and Gongs ====
{|class="wikitable" style="font-size:100%;text-align:center;"
|+''Wong'' and ''Gong'' combinations<ref name=Helprin86 />{{rp|207}}
| &nbsp;
! colspan=2 | ''Wong'' (11) !! colspan=3 | ''Gong'' (10)
|-
! rowspan=3 | [[File:CDomino 6-6.svg|frameless|upright=0.1]]<br />''Teen''<br />(6-6)
| [[File:CDomino 6-6.svg|frameless|upright=0.1]] [[File:CDomino 5-4.svg|frameless|upright=0.1]]
| [[File:CDomino 6-6.svg|frameless|upright=0.1]] [[File:CDomino 6-3.svg|frameless|upright=0.1]]
| [[File:CDomino 6-6.svg|frameless|upright=0.1]] [[File:CDomino 4-4.svg|frameless|upright=0.1]]
| [[File:CDomino 6-6.svg|frameless|upright=0.1]] [[File:CDomino 5-3.svg|frameless|upright=0.1]]
| [[File:CDomino 6-6.svg|frameless|upright=0.1]] [[File:CDomino 6-2.svg|frameless|upright=0.1]]
|-
| 6-6, 5-4 || 6-6, 6-3
| 6-6, 4-4 || 6-6, 5-3 || 6-6, 6-2
|-
| colspan=2 | ''Teen'', ''Gow''
| ''Teen'', ''Yun'' || colspan=2 | ''Teen'', ''Bot''
|-
! rowspan=3 | [[File:CDomino 1-1.svg|frameless|upright=0.1]]<br />''Day''<br />(1-1)
| [[File:CDomino 1-1.svg|frameless|upright=0.1]] [[File:CDomino 5-4.svg|frameless|upright=0.1]]
| [[File:CDomino 1-1.svg|frameless|upright=0.1]] [[File:CDomino 6-3.svg|frameless|upright=0.1]]
| [[File:CDomino 1-1.svg|frameless|upright=0.1]] [[File:CDomino 4-4.svg|frameless|upright=0.1]]
| [[File:CDomino 1-1.svg|frameless|upright=0.1]] [[File:CDomino 5-3.svg|frameless|upright=0.1]]
| [[File:CDomino 1-1.svg|frameless|upright=0.1]] [[File:CDomino 6-2.svg|frameless|upright=0.1]]
|-
| 1-1, 5-4 || 1-1, 6-3
| 1-1, 4-4 || 1-1, 5-3 || 1-1, 6-2
|-
| colspan=2 | ''Day'', ''Gow''
| ''Day'', ''Yun'' || colspan=2 | ''Day'', ''Bot''
|}
The double-one tiles and double-six tiles are known as the ''Day'' and ''Teen'' tiles, respectively. The combination of a Day or Teen with a nine (''Gow'', 5-4 or 6-3) creates a ''Wong'', worth 11 points, while putting either of them with an eight (either ''Yun'', 4-4; or ''Bot'', 5-3 or 6-2) results in a ''Gong'', worth 10. Gongs and Wongs formed with a Teen tile are ranked higher than those formed with a Day tile.<ref name=WGMc>{{cite web |url=https://wgm8.com/pai-gow-part-c-wongs-gongs-high-9s-and-gee-joon/ |title=Pai gow part C: wongs, gongs, high 9s and gee joon |author=Yao, Pai |date=31 October 2012 |website=World Gaming Magazine |access-date=22 September 2023}}</ref>

However, if a Day or Teen is grouped in a single hand with any other tile, the standard scoring rules apply. The combination of a Day or Teen with a seven (''Tit'', 1-6; or ''Chit'', 2-5 or 3-4) is sometimes referred to as a ''high nine'', as the score is the maximum (nine) when added together, and the group contains a high-rank tile for potential tiebreaking purposes.<ref name=WGMc />

==== Modular arithmetic ====
{|class="wikitable floatright" style="font-size:90%;text-align:center;width:15em;"
|+Basic scoring examples ([[modulo]] 10)
| &nbsp;
! colspan=2 | Tiles !! Total value !! Score
|-
! rowspan=2 | Ex. 1
| [[File:CDomino 1-3.svg|frameless|upright=0.12]] || [[File:CDomino 2-3.svg|frameless|upright=0.12]]
| rowspan=2 | 4+5=9
! rowspan=2 style="font-size:200%;" | 9
|-
| 1+3=4 || 2+3=5
|-
! rowspan=2 | Ex. 2
| [[File:CDomino 2-3.svg|frameless|upright=0.12]] || [[File:CDomino 5-6.svg|frameless|upright=0.12]]
| rowspan=2 | 5+11=16
! rowspan=2 style="font-size:200%;" | 6
|-
| 2+3=5 || 5+6=11
|-
! rowspan=2 | Ex. 3
| [[File:CDomino 5-5.svg|frameless|upright=0.12]] || [[File:CDomino 4-6.svg|frameless|upright=0.12]]
| rowspan=2 | 10+10=20
! rowspan=2 style="font-size:200%;" | 0
|-
| 5+5=10 || 4+6=10
|-
! rowspan=2 | Ex. 4
| style="background:#ada;" | [[File:CDomino 1-2.svg|frameless|upright=0.12]] || [[File:CDomino 5-6.svg|frameless|upright=0.12]]
| rowspan=2 | 3+11=14 or 6+11=17
! rowspan=2 style="font-size:200%;" | 7
|-
| 1+2=3 (or&nbsp;6) || 5+6=11
|}
When a hand is formed from two tiles that are not a named pair, Wong, or Gong, the total pips on both tiles are counted and any tens digit is dropped; the resulting ones digit (the sum of all pips [[modulo]] 10) gives the final score.<ref name=Helprin86 />{{rp|205}}

There is one exception. The 1-2 and the 2-4 tiles which form the ''Gee Joon'' pair together, can act as limited wild cards singly. When used as part of a hand of mixed tiles, these tiles may be scored as either 3 or 6, whichever results in a higher hand value.<ref name=WGMc /> For example, a hand of 1-2 (scored as +6 instead of the face value of +3) and 5-6 (+11) scores as seven rather than four.

If the player has both the 1-2 and 2-4 tiles, those collectively form the highest-ranked named pair and should be used together to form an unbeatable rear hand.