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Pai Gow Tiles Optimal Strategy


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Following is the optimal strategy for Pai Gow Tiles with exceptions based on whether the dealer is banking or you are banking. This strategy is optimal against the Traditional Way. It should be nearly optimal against any casino house way.

The approach with this strategy is a little different than usual. It is separated into two sections: pairs and non-pairs. If the tile combination contains at least one pair, follow the rules in the Pairs section. Otherwise, skip to the second section.

The following tile codes are used:

  • H0 = a high 10 tile
  • L0 = a low 10 tile
  • H2 = a Teen tile
  • L2 = a Day tile
  • H4 = a high 4 tile
  • L4 = a low 4 tile
  • H6 = a high 6 tile
  • L6 = a low 6 tile
  • H7 = a high 7 tile
  • L7 = a low 7 tile
  • H8 = a high 8 tile
  • L8 = a low 8 tile

  • 0 = a high 10 or low 10 tile
  • 1 = an 11 tile
  • 2 = a Teen or Day tile
  • 3 = a Gee Joon tile, even if it is the one with 6 pips and/or used as a 6-point tile
  • 4 = a high 4 or low 4 tile
  • 5 = a 5 tile
  • 6 = a high 6 or low 6 tile (not a Gee Joon tile)
  • 7 = a high 7 or low 7 tile
  • 8 = a high 8 or low 8 tile
  • 9 = a 9 tile

1. Pairs

  • With two pairs, play a pair in the low hand and a pair in the high hand.
  • With one pair, play it in the high hand unless splitting is indicated below:

    Split Gee Joon with:   6 and 6  
      6 and 5  
      6 and 4  
     
    Split Teens and Days with:   9 and L8     8 and 8          
      9 and 7     8 and 7     7 and 7      
      9 and 6     8 and 6     7 and 6     6 and 6  
      9 and 5     8 and 5     7 and 5     6 and 5  
      9 and 4     8 and 4     7 and 4     6 and 4  
      9 and 3     8 and 3     7 and 3      
      9 and 1              
     
    Split 9s with:   2 and 2  
      2 and 0  
      0 and 0  
     
    Split 8s with:   9 and 1  
      2 and 2  
      2 and 1  
      2 and 0  
      1 and 0  
      0 and 0  
     
    Split 7s with:   2 and 2  
      2 and 1  
      2 and 0  
      1 and 0  
      0 and 0, except with H7s when banking
     
    Split 6s with:   2 and 2  
      2 and 1  
      2 and H0, except with H6s 
     
    Split 5s with:   2 and 2  
     

2. All Other

Determine the combination code for a hand by determing each tile's code as listed above, and then sorting the four codes from lowest to highest. For example, if the tiles are Teen, high 4, Gee, and 11, their respective codes are 2, 4, 3, and 1. Then sort the digits to get the code 1234. Look up the rule for the 4-digit code in the table below.

Combinations which have only one way to play are included but are greyed-out.

Combinations

CODE RULE
0012 1/2
0013 high 1/6 when dealer is banking; 0/7 when banking
0014 high 1/4 when dealer is banking; 0/5 when banking
0015 high 1/5 when dealer is banking; 0/6 when banking
0016 high 1/6 when dealer is banking; 0/7 when banking
0017 1/high 7 when dealer is banking; 0/8 when banking
0018 0/9
0019 1/high 9
0022 2/2
0023 0/8
0024 0/6 except play 2/4 with 0-0-L2-H4 when dealer is banking
0025 0/7
0026 0/8
0027 0/9
0028 0/Gong
0029 0/Wong
0034 4/high 6
0035 high 5/6
0036 6/6 (separate H0 and H6 if applicable)
0037 high 6/7
0038 high 6/8
0039 high 6/9
0044 4/4 when dealer is banking; 0/8 when banking
0045 0/9
0046 4/high 6 except play high 4/6 with 0-0-L4-H6 when dealer is banking
0047 4/high 7
0048 4/high 8
0049 4/high 9
0056 high 5/6
0057 5/high 7
0058 high 5/8
0059 5/high 9
0066 6/6
0067 high 6/7 with L6; 6/high 7 with H6
0068 high 6/8 except play 6/high 8 with 0-0-H6-L8 when dealer is banking
0069 6/high 9 except play high 6/9 with L6 when banking
0077 7/7
0078 high 7/8
0079 high 7/9
0088 8/8
0089 8/high 9
0122 high 2/3
0123 1/8
0124 1/6 with H0; 3/4 with L0
0125 1/7
0126 1/8
0127 1/9
0128 1/Gong
0129 1/Wong
0134 5/6
0135 6/6
0136 high 6/7 (separate H0 and H6 if applicable)
0137 7/7
0138 7/8 except play 6/9 with H0-1-3-H8, and play 6/9 with H0-1-3-L8 when banking
0139 7/9
0144 high 4/5 with L0; 1/8 with H0 when dealer is banking
0145 5/5
0146 5/6
0147 5/7
0148 5/8 except play 4/9 with H0-1-L4-H8, and play 4/9 with L0-1-H4-H8 when banking
0149 5/9
0156 6/6
0157 6/7
0158 5/9 except play 6/8 with L0-1-5-L8
0159 6/9
0166 high 6/7 (separate H0 and H6 if applicable)
0167 7/7
0168 7/8 except play 6/9 with H0-1-6-H8, and play 6/9 with H0-1-L6-L8 when banking
0169 7/9
0177 7/8
0178 7/9 except play 8/8 with L0-1-7-L8
0179 8/9
0188 8/high 9
0189 9/9
0223 2/high 8 with L0; 4/6 with H0
0224 4/4 except play 2/high 6 with L0-2-2-L4
0225 high 2/7
0226 2/high 8
0227 2/high 9
0228 2/high Gong
0229 2/high Wong with L0; 4/9 with H0
0234 6/6
0235 6/7
0236 6/8
0237 6/9 with H2; 7/8 with L2 when dealer is banking
0238 6/Gong except play 8/8 with L0-L2-3-H8
0239 6/Wong
0244 2/8 when dealer is banking; 4/6 when banking
0245 5/6 except play 2/9 with L0-2-H4-5
0246 6/6
0247 6/7 except play 4/9 with L0-H2-H4-7; when banking play 4/9 except play 6/7 with L0-L2-L4-7
0248 6/8 except play 4/Gong with 0-H2-H4-L8; also play 4/Gong when banking with H0-H2, H2-H4, H2-L8, and H4-L8
0249 6/9 except play 4/Wong with L0-2-H4-9
0256 6/7
0257 7/7 except play 5/9 with L0-H2-5-7; also play 5/9 with H0-H2-5-7 when banking
0258 7/8 except play 5/Gong with H0-H2-5-L8; also play 5/Gong with L0-H2-5-L8 and H0-H2-5-H8 when banking
0259 7/9
0266 6/8
0267 6/9 except play 7/8 with H0-L2-6-7 when dealer is banking
0268 6/Gong except play 8/8 with L0-L2-L6-H8; also play 8/8 with L0-L2-L6-L8, L0-L2-H6-H8, and L0-H2-L6-H8 when dealer is banking
0269 6/Wong
0277 7/9
0278 8/9 except play 7/Gong with H0-2-7-L8 and H0-L2-7-H8
0279 9/9 except play 7/Wong with H0-L2-7-9
0288 8/Gong
0289 9/Gong except play 8/Wong with 0-L2-H8-9; also play 8/Wong with L0-H2-H8-9 when dealer is banking
0344 6/8
0345 6/9
0346 6/7
0347 7/7
0348 7/8
0349 7/9
0356 6/8 except play 5/9 with H0-3-5-H6 when dealer is banking
0357 7/8
0358 8/8
0359 8/9
0366 6/high 9
0367 7/9
0368 8/9
0369 9/9
0377 4/6 with L0; high 3/7 with H0
0378 5/6
0379 6/6
0388 6/6
0389 6/7
0445 5/8
0446 6/8
0447 7/8
0448 8/8
0449 8/9
0456 6/9
0457 7/9
0458 8/9
0459 9/9
0466 0/high 6
0467 0/7 except play 1/6 with L0-H4-H6-7 when dealer is banking
0468 0/8
0469 0/9
0477 1/7 except 4/4 with L0-L4-7-7
0478 1/8
0479 1/9
0488 when dealer is banking, play 2/high 8 except play 4/6 with H0-L4-8-8; when banking, play 4/6 except play 2/high 8 with L0-L4-8-8
0489 2/9 except play 4/7 with L0-4-H8-9
0566 high 1/6
0567 1/7
0568 1/8 except play 4/5 with 0-5-L6-H8
0569 5/5 except play 1/9 with H0-5-L6-9
0577 4/5 with L0; 2/7 with H0
0578 5/5
0579 2/9
0588 5/6
0589 5/7
0667 2/7
0668 2/8 except play 4/6 with H0-6-6-H8; also play 4/high 6 with L0-6-6-H8 when banking
0669 high 5/6
0677 4/6 with L0; 3/7 with H0
0678 5/6 except play 4/7 with H0-H6-L7-L8; also play 3/8 with L0-H6-L7-L8 when banking
0679 6/6 except play 5/7 with H0-H6-7-9; also play 5/7 with L0-H6-L7-9 when banking
0688 6/6
0689 6/7
0778 5/7
0779 6/7
0788 6/7
0789 7/7
0889 high 7/8
1223 4/7
1224 4/5
1225 high 3/7
1226 3/high 8 with L6; 4/7 with H6
1227 3/high 9
1228 3/high Gong with L8; 4/9 with H8
1229 3/high Wong
1234 6/7
1235 7/7
1236 7/8
1237 7/9
1238 7/Gong except play 8/9 with 1-L2-3-H8 when dealer is banking
1239 7/Wong
1244 5/6
1245 5/7 with H4; 6/6 with L4
1246 6/7
1247 5/9 except play 6/8 with 1-L2-L4-7
1248 6/9 except play 5/Gong with 1-2-H4-L8 and 1-H2-4-L8; also play 5/Gong with 1-L2-L4-L8 and 1-H2-H4-H8 when banking
1249 5/Wong
1256 7/7
1257 7/8 with L2; 6/9 with H2
1258 7/9 except play 6/Gong with 1-H2-5-L8; also play 6/Gong with 1-L2-5-L8 when banking
1259 6/Wong
1266 7/8
1267 7/9
1268 7/Gong except play 8/9 with 1-L2-L6-H8
1269 7/Wong
1277 8/9
1278 9/9 with H8; 8/Gong with L8
1279 8/Wong
1288 9/Gong
1289 9/Wong
1344 7/8
1345 7/9
1346 7/7
1347 7/8
1348 7/9
1349 5/5
1356 7/8
1357 8/8
1358 8/9
1359 5/6
1366 7/high 9
1367 8/9
1368 9/9
1369 high 5/7
1377 4/7
1378 5/7
1379 6/7
1388 6/7
1389 7/7
1445 6/8 when dealer is banking; 5/high 9 when banking
1446 7/8
1447 8/8
1448 8/9
1449 0/8
1456 7/9
1457 8/9
1458 9/9
1459 0/9
1466 0/7
1467 0/8 except play 1/7 with 1-H4-H6-7 when dealer is banking
1468 0/9
1469 5/5
1477 1/8
1478 1/9
1479 5/6
1488 2/high 9 with L4; 5/6 with H4
1489 5/7
1566 high 1/7
1567 1/8
1568 1/9
1569 5/6
1577 2/8
1578 5/6 except play 2/9 with 1-5-L7-L8
1579 6/6
1588 6/6
1589 6/7
1667 2/8
1668 2/9
1669 high 5/7
1677 3/8
1678 5/7 except play 3/9 with 1-H6-L7-L8 when banking
1679 6/7 with L6; 5/8 with H6
1688 6/7
1689 7/7
1778 5/8
1779 6/8
1788 6/8
1789 7/8
1889 high 7/9
2234 6/high 8
2235 7/high 8
2236 8/8
2237 8/high 9
2238 8/high Gong
2239 high 8/Wong when dealer is banking; 8/high Wong when banking
2244 6/6
2245 high 6/7
2246 6/high 8
2247 6/high 9
2248 6/high Gong
2249 6/high Wong
2256 7/high 8
2257 7/high 9
2258 7/high Gong
2259 7/high Wong
2266 8/8
2267 8/high 9
2268 8/high Gong
2269 high 8/Wong when dealer is banking; 8/high Wong when banking
2277 9/9
2278 9/high Gong
2279 9/high Wong
2288 Gong/Gong
2289 Gong/high Wong
2344 8/8
2345 8/9
2346 7/8
2347 7/9
2348 7/Gong
2349 7/Wong
2356 7/9
2357 8/9
2358 8/Gong
2359 8/Wong
2366 8/9
2367 9/9
2368 9/Gong
2369 9/Wong
2377 3/9
2378 4/9 with H8; 3/Gong with L8; except play 5/8 with L2-3-H7-L8 and L2-3-7-H8 when dealer is banking
2379 5/9
2388 6/8 except play 4/Gong with H2-3-8-8 when banking
2389 7/8 except play 5/Gong with H2-3-L8-9
2445 7/8
2446 8/8
2447 8/9
2448 8/Gong
2449 8/Wong
2456 8/9
2457 9/9
2458 9/Gong
2459 9/Wong
2466 0/8
2467 0/9
2468 0/Gong
2469 0/Wong
2477 1/9
2478 1/Gong
2479 1/Wong
2488 6/6 except play 2/Gong with H2 when banking
2489 6/7 except play 2/Wong with L2-4-L8-9 and 3/Gong with H2-4-L8-9; also play 3/Gong with L2-H4-L8-9 when banking
2566 1/8
2567 1/9
2568 1/Gong
2569 1/Wong
2577 2/9
2578 5/7 with H8; 2/Gong with L8; except play 3/9 with H2-5-7-H8 when banking
2579 2/Wong
2588 6/7
2589 7/7
2667 2/9
2668 2/Gong
2669 2/Wong
2677 3/9
2678 4/9 with H8; 3/Gong with L8; except play 5/8 with L2-6-7-H8 and 4/9 with H2-H6-7-L8 when dealer is banking, and 4/9 with H2-L6-L7-L8 when banking
2679 5/9
2688 6/8 except play 4/Gong with H2-6-8-8 when banking
2689 7/8 with H8; 5/Gong with L8; except play 7/8 with L2-L6-L8-9 when dealer is banking
2778 5/9
2779 6/9
2788 6/9
2789 7/9
2889 7/Gong
3445 high 7/9
3446 8/9
3447 3/8
3448 4/8
3449 5/8
3456 9/9
3457 3/9
3458 4/9
3459 5/9
3466 0/9
3467 1/9
3468 4/7 except play 2/9 with 3-H4-H6-L8 and 3-L4-6-L8
3469 5/7
3477 4/7
3478 5/7
3479 6/7
3488 6/7
3489 7/7
3566 1/high 9
3567 2/9
3568 3/9 with L8; 4/8 with H8
3569 5/8
3577 4/8
3578 5/8
3579 6/8
3588 6/8
3589 7/8
3667 3/high 9
3668 4/high 9
3669 high 5/9
3677 4/9
3678 5/9
3679 6/9
3688 6/9
3689 7/9
3778 4/4
3779 4/5
3788 high 4/5
3789 5/5
3889 5/6 when dealer is banking; high 4/7 when banking
4456 0/9
4457 1/high 9
4458 2/high 9
4459 3/high 9
4466 2/8
4467 3/8
4468 4/8
4469 5/8
4477 4/8
4478 5/8
4479 6/8
4488 6/8
4489 7/8
4566 2/9
4567 3/9
4568 4/9
4569 5/9
4577 4/9
4578 5/9
4579 6/9
4588 6/9
4589 7/9
4667 1/2
4668 2/2
4669 2/3 except play 0/5 with L4-6-6-9 when banking
4677 1/3
4678 2/3 except play 1/4 with H4-6-7-H8 when dealer is banking, and 0/5 with H8 when banking
4679 3/3
4688 0/6
4689 0/7 except play 3/4 with H4-6-L8-9 and L4-H6-L8-9 when dealer is banking
4778 1/5
4779 3/4
4788 1/6
4789 1/7
4889 2/high 7
5667 2/2
5668 2/3
5669 high 1/5
5677 high 2/3
5678 3/3
5679 3/4 except play 1/6 with 5-H6-H7-9 when dealer is banking
5688 1/6
5689 1/7
5778 3/4
5779 4/4
5788 2/6
5789 2/7
5889 3/high 7
6677 3/3
6678 high 3/4 with L8; 2/5 with H8
6679 3/high 5
6688 4/4
6689 high 4/5
6778 4/4
6779 4/5
6788 high 4/5
6789 5/5
6889 5/6 except play high 4/7 with L6-8-8-9 when banking
7788 5/5
7789 high 5/6
7889 high 5/7 with L7; 5/high 7 with H7

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