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Pai Gow Tiles Optimal Strategy
Introduction
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 |