Probability of making the nut low hand in Omaha hold 'em
- SeePoker probability (Omaha)#Making low nutsfor a discussion of making low nut hands in Omaha hold 'em.
There are 165 different nut-low starting hand shapes that have the possibility of making a nut-low hand in Omaha hold 'em Hi-Lo. Combining the hand shapes into groups based on the factors that determine the probabilities for making the nut low hand and making low hands, the 165 different cases fall into 56 groupings.
The nut low hand shapes are denoted using the lower case letters x and y to represent qualifying low ranks higher than 5 (6–8 or 6–9 for 8- and 9-high qualifiers, respectively), and * to represent any high card. The following tables give the probability for select starting hands to make the nut low hand and make a non-nut low hand on the flop, turn and river. The hands in the table are listed in order of the probability of having the nut hand on the river, from highest probability to lowest. The tables also give the probability that the hand will make a nut low hand if at least three different low ranks are on the board, making a low hand possible. See Poker probability (Omaha)#Making a low hand for the probabilities of a low hand being possible and the probability of making or missing a low hand when one is possible.
- {| border="2" cellpadding="2" cellspacing="0" style="border: 3px #aaa solid; font-size: 95%;"
|+Making a nut low hand with an 8-high qualifier |- style="Background: #eee" ! rowspan=3| Hands ! colspan=6| Make on flop !! colspan=6| Make on turn !! colspan=6| Make on river |- style="Background: #eee" ! colspan=2| Nut low !! colspan=2| Non-nut low !! colspan=2| Nuts if low ! colspan=2| Nut low !! colspan=2| Non-nut low !! colspan=2| Nuts if low ! colspan=2| Nut low !! colspan=2| Non-nut low !! colspan=2| Nuts if low |- style="Background: #eee" ! Prob. !! Odds !! Prob. !! Odds !! Prob. !! Odds ! Prob. !! Odds !! Prob. !! Odds !! Prob. !! Odds ! Prob. !! Odds !! Prob. !! Odds !! Prob. !! Odds |- | A-2-3-4 | 0.1314 ||align=right| 6.6 : 1 || 0 ||align=right| ∞ || 0.9546 ||align=right| <0.0 : 1 | 0.3246 ||align=right| 2.1 : 1 || 0.0067 ||align=right|149.1 : 1 || 0.9424 ||align=right| 0.1 : 1 | 0.5087 ||align=right| 1.0 : 1 || 0.0221 ||align=right| 44.2 : 1 || 0.9283 ||align=right| 0.1 : 1 |- | A-2-3-5 | 0.1126 ||align=right| 7.9 : 1 || 0.0187 ||align=right| 52.4 : 1 || 0.8185 ||align=right| 0.2 : 1 | 0.2788 ||align=right| 2.6 : 1 || 0.0525 ||align=right| 18.1 : 1 || 0.8095 ||align=right| 0.2 : 1 | 0.4385 ||align=right| 1.3 : 1 || 0.0923 ||align=right| 9.8 : 1 || 0.8002 ||align=right| 0.2 : 1 |- | A-2-3-* | 0.1203 ||align=right| 7.3 : 1 || 0 ||align=right| ∞ || 0.7858 ||align=right| 0.3 : 1 | 0.2859 ||align=right| 2.5 : 1 || 0.0200 ||align=right| 49.0 : 1 || 0.7641 ||align=right| 0.3 : 1 | 0.4314 ||align=right| 1.3 : 1 || 0.0638 ||align=right| 14.7 : 1 || 0.7400 ||align=right| 0.4 : 1 |- | A-A-2-3, A-2-2-3, A-2-3-3 | 0.1110 ||align=right| 8.0 : 1 || 0 ||align=right| ∞ || 0.8142 ||align=right| 0.2 : 1 | 0.2723 ||align=right| 2.7 : 1 || 0.0155 ||align=right| 63.3 : 1 || 0.7965 ||align=right| 0.3 : 1 | 0.4229 ||align=right| 1.4 : 1 || 0.0507 ||align=right| 18.7 : 1 || 0.7764 ||align=right| 0.3 : 1 |- | A-2-3-x | 0.1064 ||align=right| 8.4 : 1 || 0.0250 ||align=right| 39.0 : 1 || 0.7731 ||align=right| 0.3 : 1 | 0.2591 ||align=right| 2.9 : 1 || 0.0722 ||align=right| 12.9 : 1 || 0.7523 ||align=right| 0.3 : 1 | 0.3997 ||align=right| 1.5 : 1 || 0.1311 ||align=right| 6.6 : 1 || 0.7294 ||align=right| 0.4 : 1 |- | A-2-4-5 | 0.0835 ||align=right| 11.0 : 1 || 0.0479 ||align=right| 19.9 : 1 || 0.6067 ||align=right| 0.6 : 1 | 0.2108 ||align=right| 3.7 : 1 || 0.1205 ||align=right| 7.3 : 1 || 0.6120 ||align=right| 0.6 : 1 | 0.3393 ||align=right| 1.9 : 1 || 0.1915 ||align=right| 4.2 : 1 || 0.6192 ||align=right| 0.6 : 1 |- | A-A-2-4, A-2-2-4 | 0.0833 ||align=right| 11.0 : 1 || 0.0278 ||align=right| 35.0 : 1 || 0.6107 ||align=right| 0.6 : 1 | 0.2070 ||align=right| 3.8 : 1 || 0.0808 ||align=right| 11.4 : 1 || 0.6055 ||align=right| 0.7 : 1 | 0.3267 ||align=right| 2.1 : 1 || 0.1468 ||align=right| 5.8 : 1 || 0.5999 ||align=right| 0.7 : 1 |- | A-2-4-* | 0.0870 ||align=right| 10.5 : 1 || 0.0333 ||align=right| 29.0 : 1 || 0.5682 ||align=right| 0.8 : 1 | 0.2099 ||align=right| 3.8 : 1 || 0.0960 ||align=right| 9.4 : 1 || 0.5611 ||align=right| 0.8 : 1 | 0.3229 ||align=right| 2.1 : 1 || 0.1723 ||align=right| 4.8 : 1 || 0.5538 ||align=right| 0.8 : 1 |- | A-2-4-4 | 0.0777 ||align=right| 11.9 : 1 || 0.0333 ||align=right| 29.0 : 1 || 0.5700 ||align=right| 0.8 : 1 | 0.1933 ||align=right| 4.2 : 1 || 0.0945 ||align=right| 9.6 : 1 || 0.5655 ||align=right| 0.8 : 1 | 0.3057 ||align=right| 2.3 : 1 || 0.1678 ||align=right| 5.0 : 1 || 0.5613 ||align=right| 0.8 : 1 |- | A-2-4-x | 0.0772 ||align=right| 11.9 : 1 || 0.0541 ||align=right| 17.5 : 1 || 0.5613 ||align=right| 0.8 : 1 | 0.1911 ||align=right| 4.2 : 1 || 0.1402 ||align=right| 6.1 : 1 || 0.5548 ||align=right| 0.8 : 1 | 0.3005 ||align=right| 2.3 : 1 || 0.2303 ||align=right| 3.3 : 1 || 0.5484 ||align=right| 0.8 : 1 |- | A-A-A-2, A-2-2-2 | 0.0740 ||align=right| 12.5 : 1 || 0 ||align=right| ∞ || 0.5536 ||align=right| 0.8 : 1 | 0.1822 ||align=right| 4.5 : 1 || 0.0250 ||align=right| 39.0 : 1 || 0.5416 ||align=right| 0.8 : 1 | 0.2842 ||align=right| 2.5 : 1 || 0.0810 ||align=right| 11.3 : 1 || 0.5283 ||align=right| 0.9 : 1 |- | A-A-2-2 | 0.0740 ||align=right| 12.5 : 1 || 0 ||align=right| ∞ || 0.5479 ||align=right| 0.8 : 1 | 0.1822 ||align=right| 4.5 : 1 || 0.0250 ||align=right| 39.0 : 1 || 0.5372 ||align=right| 0.9 : 1 | 0.2842 ||align=right| 2.5 : 1 || 0.0810 ||align=right| 11.3 : 1 || 0.5250 ||align=right| 0.9 : 1 |- | A-A-2-5, A-2-2-5 | 0.0694 ||align=right| 13.4 : 1 || 0.0416 ||align=right| 23.0 : 1 || 0.5089 ||align=right| 1.0 : 1 | 0.1727 ||align=right| 4.8 : 1 || 0.1151 ||align=right| 7.7 : 1 || 0.5051 ||align=right| 1.0 : 1 | 0.2735 ||align=right| 2.7 : 1 || 0.2000 ||align=right| 4.0 : 1 || 0.5022 ||align=right| 1.0 : 1 |- | A-A-2-*, A-2-2-* | 0.0740 ||align=right| 12.5 : 1 || 0 ||align=right| ∞ || 0.4878 ||align=right| 1.1 : 1 | 0.1760 ||align=right| 4.7 : 1 || 0.0312 ||align=right| 31.0 : 1 || 0.4737 ||align=right| 1.1 : 1 | 0.2657 ||align=right| 2.8 : 1 || 0.0995 ||align=right| 9.0 : 1 || 0.4583 ||align=right| 1.2 : 1 |- | A-2-5-* | 0.0703 ||align=right| 13.2 : 1 || 0.0500 ||align=right| 19.0 : 1 || 0.4594 ||align=right| 1.2 : 1 | 0.1700 ||align=right| 4.9 : 1 || 0.1359 ||align=right| 6.4 : 1 || 0.4543 ||align=right| 1.2 : 1 | 0.2627 ||align=right| 2.8 : 1 || 0.2325 ||align=right| 3.3 : 1 || 0.4506 ||align=right| 1.2 : 1 |- | A-3-4-5, 2-3-4-5 | 0.0569 ||align=right| 16.6 : 1 || 0.0745 ||align=right| 12.4 : 1 || 0.4134 ||align=right| 1.4 : 1 | 0.1500 ||align=right| 5.7 : 1 || 0.1813 ||align=right| 4.5 : 1 || 0.4355 ||align=right| 1.3 : 1 | 0.2527 ||align=right| 3.0 : 1 || 0.2782 ||align=right| 2.6 : 1 || 0.4611 ||align=right| 1.2 : 1 |- | A-2-*-* | 0.0740 ||align=right| 12.5 : 1 || 0 ||align=right| ∞ || 0.4360 ||align=right| 1.3 : 1 | 0.1697 ||align=right| 4.9 : 1 || 0.0375 ||align=right| 25.7 : 1 || 0.4191 ||align=right| 1.4 : 1 | 0.2479 ||align=right| 3.0 : 1 || 0.1173 ||align=right| 7.5 : 1 || 0.4013 ||align=right| 1.5 : 1 |- | A-A-2-x, A-2-2-x | 0.0648 ||align=right| 14.4 : 1 || 0.0463 ||align=right| 20.6 : 1 || 0.4750 ||align=right| 1.1 : 1 | 0.1579 ||align=right| 5.3 : 1 || 0.1299 ||align=right| 6.7 : 1 || 0.4619 ||align=right| 1.2 : 1 | 0.2440 ||align=right| 3.1 : 1 || 0.2295 ||align=right| 3.4 : 1 || 0.4480 ||align=right| 1.2 : 1 |- | A-2-5-x | 0.0620 ||align=right| 15.1 : 1 || 0.0694 ||align=right| 13.4 : 1 || 0.4504 ||align=right| 1.2 : 1 | 0.1538 ||align=right| 5.5 : 1 || 0.1775 ||align=right| 4.6 : 1 || 0.4465 ||align=right| 1.2 : 1 | 0.2434 ||align=right| 3.1 : 1 || 0.2874 ||align=right| 2.5 : 1 || 0.4442 ||align=right| 1.3 : 1 |- | A-2-5-5 | 0.0611 ||align=right| 15.4 : 1 || 0.0500 ||align=right| 19.0 : 1 || 0.4478 ||align=right| 1.2 : 1 | 0.1519 ||align=right| 5.6 : 1 || 0.1359 ||align=right| 6.4 : 1 || 0.4443 ||align=right| 1.3 : 1 | 0.2410 ||align=right| 3.2 : 1 || 0.2325 ||align=right| 3.3 : 1 || 0.4424 ||align=right| 1.3 : 1 |- | A-2-x-* | 0.0648 ||align=right| 14.4 : 1 || 0.0555 ||align=right| 17.0 : 1 || 0.4231 ||align=right| 1.4 : 1 | 0.1525 ||align=right| 5.6 : 1 || 0.1534 ||align=right| 5.5 : 1 || 0.4075 ||align=right| 1.5 : 1 | 0.2282 ||align=right| 3.4 : 1 || 0.2670 ||align=right| 2.7 : 1 || 0.3914 ||align=right| 1.6 : 1 |- | A-3-4-*, 2-3-4-* | 0.0555 ||align=right| 17.0 : 1 || 0.0648 ||align=right| 14.4 : 1 || 0.3627 ||align=right| 1.8 : 1 | 0.1397 ||align=right| 6.2 : 1 || 0.1662 ||align=right| 5.0 : 1 || 0.3734 ||align=right| 1.7 : 1 | 0.2251 ||align=right| 3.4 : 1 || 0.2701 ||align=right| 2.7 : 1 || 0.3861 ||align=right| 1.6 : 1 |- | A-A-3-4, A-3-3-4, A-3-4-4, 2-2-3-4,
2-3-3-4, 2-3-4-4 | 0.0518 ||align=right| 18.3 : 1 || 0.0592 ||align=right| 15.9 : 1 || 0.3800 ||align=right| 1.6 : 1 | 0.1340 ||align=right| 6.5 : 1 || 0.1538 ||align=right| 5.5 : 1 || 0.3919 ||align=right| 1.6 : 1 | 0.2209 ||align=right| 3.5 : 1 || 0.2526 ||align=right| 3.0 : 1 || 0.4056 ||align=right| 1.5 : 1 |- | A-3-4-x, 2-3-4-x | 0.0506 ||align=right| 18.7 : 1 || 0.0807 ||align=right| 11.4 : 1 || 0.3681 ||align=right| 1.7 : 1 | 0.1303 ||align=right| 6.7 : 1 || 0.2010 ||align=right| 4.0 : 1 || 0.3783 ||align=right| 1.6 : 1 | 0.2139 ||align=right| 3.7 : 1 || 0.3170 ||align=right| 2.2 : 1 || 0.3903 ||align=right| 1.6 : 1 |- | A-2-x-y | 0.0564 ||align=right| 16.7 : 1 || 0.0749 ||align=right| 12.3 : 1 || 0.4101 ||align=right| 1.4 : 1 | 0.1363 ||align=right| 6.3 : 1 || 0.1950 ||align=right| 4.1 : 1 || 0.3956 ||align=right| 1.5 : 1 | 0.2090 ||align=right| 3.8 : 1 || 0.3219 ||align=right| 2.1 : 1 || 0.3813 ||align=right| 1.6 : 1 |- | A-2-x-x | 0.0555 ||align=right| 17.0 : 1 || 0.0555 ||align=right| 17.0 : 1 || 0.4071 ||align=right| 1.5 : 1 | 0.1344 ||align=right| 6.4 : 1 || 0.1534 ||align=right| 5.5 : 1 || 0.3931 ||align=right| 1.5 : 1 | 0.2065 ||align=right| 3.8 : 1 || 0.2670 ||align=right| 2.7 : 1 || 0.3791 ||align=right| 1.6 : 1 |- | A-A-3-5, A-3-3-5, 2-2-3-5, 2-3-3-5 | 0.0379 ||align=right| 25.4 : 1 || 0.0731 ||align=right| 12.7 : 1 || 0.2782 ||align=right| 2.6 : 1 | 0.0997 ||align=right| 9.0 : 1 || 0.1881 ||align=right| 4.3 : 1 || 0.2915 ||align=right| 2.4 : 1 | 0.1677 ||align=right| 5.0 : 1 || 0.3058 ||align=right| 2.3 : 1 || 0.3080 ||align=right| 2.2 : 1 |- | A-3-5-*, 2-3-5-* | 0.0389 ||align=right| 24.7 : 1 || 0.0814 ||align=right| 11.3 : 1 || 0.2539 ||align=right| 2.9 : 1 | 0.0997 ||align=right| 9.0 : 1 || 0.2061 ||align=right| 3.9 : 1 || 0.2666 ||align=right| 2.8 : 1 | 0.1649 ||align=right| 5.1 : 1 || 0.3303 ||align=right| 2.0 : 1 || 0.2828 ||align=right| 2.5 : 1 |- | A-3-5-x, 2-3-5-x | 0.0354 ||align=right| 27.3 : 1 || 0.0960 ||align=right| 9.4 : 1 || 0.2571 ||align=right| 2.9 : 1 | 0.0930 ||align=right| 9.8 : 1 || 0.2383 ||align=right| 3.2 : 1 || 0.2699 ||align=right| 2.7 : 1 | 0.1568 ||align=right| 5.4 : 1 || 0.3740 ||align=right| 1.7 : 1 || 0.2861 ||align=right| 2.5 : 1 |- | A-3-5-5, 2-3-5-5 | 0.0352 ||align=right| 27.4 : 1 || 0.0759 ||align=right| 12.2 : 1 || 0.2578 ||align=right| 2.9 : 1 | 0.0925 ||align=right| 9.8 : 1 || 0.1953 ||align=right| 4.1 : 1 || 0.2706 ||align=right| 2.7 : 1 | 0.1562 ||align=right| 5.4 : 1 || 0.3173 ||align=right| 2.2 : 1 || 0.2868 ||align=right| 2.5 : 1 |- | A-A-A-3, A-3-3-3, 2-2-2-3, 2-3-3-3 | 0.0370 ||align=right| 26.0 : 1 || 0.0370 ||align=right| 26.0 : 1 || 0.2768 ||align=right| 2.6 : 1 | 0.0951 ||align=right| 9.5 : 1 || 0.1122 ||align=right| 7.9 : 1 || 0.2826 ||align=right| 2.5 : 1 | 0.1558 ||align=right| 5.4 : 1 || 0.2094 ||align=right| 3.8 : 1 || 0.2897 ||align=right| 2.5 : 1 |- | A-A-3-3, 2-2-3-3 | 0.0370 ||align=right| 26.0 : 1 || 0.0370 ||align=right| 26.0 : 1 || 0.2740 ||align=right| 2.7 : 1 | 0.0951 ||align=right| 9.5 : 1 || 0.1122 ||align=right| 7.9 : 1 || 0.2802 ||align=right| 2.6 : 1 | 0.1558 ||align=right| 5.4 : 1 || 0.2094 ||align=right| 3.8 : 1 || 0.2879 ||align=right| 2.5 : 1 |- | A-A-3-*, A-3-3-*, 2-2-3-*, 2-3-3-* | 0.0370 ||align=right| 26.0 : 1 || 0.0370 ||align=right| 26.0 : 1 || 0.2439 ||align=right| 3.1 : 1 | 0.0921 ||align=right| 9.9 : 1 || 0.1151 ||align=right| 7.7 : 1 || 0.2479 ||align=right| 3.0 : 1 | 0.1469 ||align=right| 5.8 : 1 || 0.2183 ||align=right| 3.6 : 1 || 0.2534 ||align=right| 2.9 : 1 |- | A-3-*-*, 2-3-*-* | 0.0370 ||align=right| 26.0 : 1 || 0.0370 ||align=right| 26.0 : 1 || 0.2180 ||align=right| 3.6 : 1 | 0.0891 ||align=right| 10.2 : 1 || 0.1181 ||align=right| 7.5 : 1 || 0.2201 ||align=right| 3.5 : 1 | 0.1383 ||align=right| 6.2 : 1 || 0.2269 ||align=right| 3.4 : 1 || 0.2238 ||align=right| 3.5 : 1 |- | A-A-3-x, A-3-3-x, 2-2-3-x, 2-3-3-x | 0.0333 ||align=right| 29.0 : 1 || 0.0777 ||align=right| 11.9 : 1 || 0.2443 ||align=right| 3.1 : 1 | 0.0849 ||align=right| 10.8 : 1 || 0.2029 ||align=right| 3.9 : 1 || 0.2482 ||align=right| 3.0 : 1 | 0.1382 ||align=right| 6.2 : 1 || 0.3353 ||align=right| 2.0 : 1 || 0.2538 ||align=right| 2.9 : 1 |- | A-3-x-*, 2-3-x-* | 0.0333 ||align=right| 29.0 : 1 || 0.0870 ||align=right| 10.5 : 1 || 0.2176 ||align=right| 3.6 : 1 | 0.0822 ||align=right| 11.2 : 1 || 0.2237 ||align=right| 3.5 : 1 || 0.2198 ||align=right| 3.6 : 1 | 0.1304 ||align=right| 6.7 : 1 || 0.3648 ||align=right| 1.7 : 1 || 0.2236 ||align=right| 3.5 : 1 |- | A-3-x-y, 2-3-x-y | 0.0298 ||align=right| 32.5 : 1 || 0.1015 ||align=right| 8.8 : 1 || 0.2168 ||align=right| 3.6 : 1 | 0.0755 ||align=right| 12.2 : 1 || 0.2558 ||align=right| 2.9 : 1 || 0.2191 ||align=right| 3.6 : 1 | 0.1223 ||align=right| 7.2 : 1 || 0.4085 ||align=right| 1.4 : 1 || 0.2232 ||align=right| 3.5 : 1 |- | A-3-x-x, 2-3-x-x | 0.0296 ||align=right| 32.8 : 1 || 0.0814 ||align=right| 11.3 : 1 || 0.2171 ||align=right| 3.6 : 1 | 0.0750 ||align=right| 12.3 : 1 || 0.2128 ||align=right| 3.7 : 1 || 0.2194 ||align=right| 3.6 : 1 | 0.1217 ||align=right| 7.2 : 1 || 0.3518 ||align=right| 1.8 : 1 || 0.2234 ||align=right| 3.5 : 1 |- | A-4-5-*, 2-4-5-*, 3-4-5-* | 0.0194 ||align=right| 50.5 : 1 || 0.1008 ||align=right| 8.9 : 1 || 0.1269 ||align=right| 6.9 : 1 | 0.0553 ||align=right| 17.1 : 1 || 0.2506 ||align=right| 3.0 : 1 || 0.1477 ||align=right| 5.8 : 1 | 0.1012 ||align=right| 8.9 : 1 || 0.3940 ||align=right| 1.5 : 1 || 0.1735 ||align=right| 4.8 : 1 |- | A-A-4-5, A-4-4-5, A-4-5-5, 2-2-4-5,
2-4-4-5, 2-4-5-5, 3-3-4-5, 3-4-4-5,
3-4-5-5 | 0.0185 ||align=right| 53.1 : 1 || 0.0925 ||align=right| 9.8 : 1 || 0.1357 ||align=right| 6.4 : 1 | 0.0534 ||align=right| 17.7 : 1 || 0.2344 ||align=right| 3.3 : 1 || 0.1564 ||align=right| 5.4 : 1 | 0.0990 ||align=right| 9.1 : 1 || 0.3745 ||align=right| 1.7 : 1 || 0.1818 ||align=right| 4.5 : 1 |- | A-4-5-x, 2-4-5-x, 3-4-5-x | 0.0185 ||align=right| 53.1 : 1 || 0.1129 ||align=right| 7.9 : 1 || 0.1345 ||align=right| 6.4 : 1 | 0.0534 ||align=right| 17.7 : 1 || 0.2778 ||align=right| 2.6 : 1 || 0.1552 ||align=right| 5.4 : 1 | 0.0990 ||align=right| 9.1 : 1 || 0.4318 ||align=right| 1.3 : 1 || 0.1807 ||align=right| 4.5 : 1 |- | A-A-A-4, A-4-4-4, 2-2-2-4, 2-4-4-4,
3-3-3-4, 3-4-4-4 | 0.0148 ||align=right| 66.6 : 1 || 0.0592 ||align=right| 15.9 : 1 || 0.1107 ||align=right| 8.0 : 1 | 0.0414 ||align=right| 23.1 : 1 || 0.1658 ||align=right| 5.0 : 1 || 0.1232 ||align=right| 7.1 : 1 | 0.0747 ||align=right| 12.4 : 1 || 0.2905 ||align=right| 2.4 : 1 || 0.1389 ||align=right| 6.2 : 1 |- | A-A-4-4, 2-2-4-4, 3-3-4-4 | 0.0148 ||align=right| 66.6 : 1 || 0.0592 ||align=right| 15.9 : 1 || 0.1096 ||align=right| 8.1 : 1 | 0.0414 ||align=right| 23.1 : 1 || 0.1658 ||align=right| 5.0 : 1 || 0.1222 ||align=right| 7.2 : 1 | 0.0747 ||align=right| 12.4 : 1 || 0.2905 ||align=right| 2.4 : 1 || 0.1380 ||align=right| 6.2 : 1 |- | A-A-4-*, A-4-4-*, 2-2-4-*, 2-4-4-*,
3-3-4-*, 3-4-4-* | 0.0148 ||align=right| 66.6 : 1 || 0.0592 ||align=right| 15.9 : 1 || 0.0976 ||align=right| 9.3 : 1 | 0.0405 ||align=right| 23.7 : 1 || 0.1668 ||align=right| 5.0 : 1 || 0.1089 ||align=right| 8.2 : 1 | 0.0716 ||align=right| 13.0 : 1 || 0.2936 ||align=right| 2.4 : 1 || 0.1236 ||align=right| 7.1 : 1 |- | A-A-4-x, A-4-4-x, 2-2-4-x, 2-4-4-x,
3-3-4-x, 3-4-4-x | 0.0139 ||align=right| 71.1 : 1 || 0.0971 ||align=right| 9.3 : 1 || 0.1018 ||align=right| 8.8 : 1 | 0.0386 ||align=right| 24.9 : 1 || 0.2492 ||align=right| 3.0 : 1 || 0.1131 ||align=right| 7.8 : 1 | 0.0695 ||align=right| 13.4 : 1 || 0.4040 ||align=right| 1.5 : 1 || 0.1275 ||align=right| 6.8 : 1 |- | A-4-*-*, 2-4-*-*, 3-4-*-* | 0.0148 ||align=right| 66.6 : 1 || 0.0592 ||align=right| 15.9 : 1 || 0.0872 ||align=right| 10.5 : 1 | 0.0395 ||align=right| 24.3 : 1 || 0.1677 ||align=right| 5.0 : 1 || 0.0975 ||align=right| 9.3 : 1 | 0.0687 ||align=right| 13.6 : 1 || 0.2965 ||align=right| 2.4 : 1 || 0.1111 ||align=right| 8.0 : 1 |- | A-4-x-*, 2-4-x-*, 3-4-x-* | 0.0139 ||align=right| 71.1 : 1 || 0.1064 ||align=right| 8.4 : 1 || 0.0907 ||align=right| 10.0 : 1 | 0.0377 ||align=right| 25.5 : 1 || 0.2681 ||align=right| 2.7 : 1 || 0.1009 ||align=right| 8.9 : 1 | 0.0667 ||align=right| 14.0 : 1 || 0.4285 ||align=right| 1.3 : 1 || 0.1144 ||align=right| 7.7 : 1 |- | A-4-x-x, 2-4-x-x, 3-4-x-x | 0.0130 ||align=right| 76.2 : 1 || 0.0981 ||align=right| 9.2 : 1 || 0.0950 ||align=right| 9.5 : 1 | 0.0359 ||align=right| 26.8 : 1 || 0.2519 ||align=right| 3.0 : 1 || 0.1051 ||align=right| 8.5 : 1 | 0.0645 ||align=right| 14.5 : 1 || 0.4090 ||align=right| 1.4 : 1 || 0.1185 ||align=right| 7.4 : 1 |- | A-4-x-y, 2-4-x-y, 3-4-x-y | 0.0130 ||align=right| 76.2 : 1 || 0.1184 ||align=right| 7.4 : 1 || 0.0941 ||align=right| 9.6 : 1 | 0.0359 ||align=right| 26.8 : 1 || 0.2954 ||align=right| 2.4 : 1 || 0.1043 ||align=right| 8.6 : 1 | 0.0645 ||align=right| 14.5 : 1 || 0.4663 ||align=right| 1.1 : 1 || 0.1177 ||align=right| 7.5 : 1 |- | A-A-A-5, A-5-5-5, 2-2-2-5, 2-5-5-5,
3-3-3-5, 3-5-5-5, 4-4-4-5, 4-5-5-5 | 0.0037 ||align=right|269.3 : 1 || 0.0703 ||align=right| 13.2 : 1 || 0.0277 ||align=right| 35.1 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.1939 ||align=right| 4.2 : 1 || 0.0396 ||align=right| 24.3 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.3352 ||align=right| 2.0 : 1 || 0.0557 ||align=right| 16.9 : 1 |- | A-A-5-5, 2-2-5-5, 3-3-5-5, 4-4-5-5 | 0.0037 ||align=right|269.3 : 1 || 0.0703 ||align=right| 13.2 : 1 || 0.0274 ||align=right| 35.5 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.1939 ||align=right| 4.2 : 1 || 0.0393 ||align=right| 24.5 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.3352 ||align=right| 2.0 : 1 || 0.0554 ||align=right| 17.1 : 1 |- | A-A-5-x, A-5-5-x, 2-2-5-x, 2-5-5-x,
3-3-5-x, 3-5-5-x, 4-4-5-x, 4-5-5-x,
A-5-x-x, 2-5-x-x, 3-5-x-x, 4-5-x-x | 0.0037 ||align=right|269.3 : 1 || 0.1073 ||align=right| 8.3 : 1 || 0.0271 ||align=right| 35.8 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.2745 ||align=right| 2.6 : 1 || 0.0390 ||align=right| 24.7 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.4435 ||align=right| 1.3 : 1 || 0.0550 ||align=right| 17.2 : 1 |- | A-5-x-y, 2-5-x-y, 3-5-x-y, 4-5-x-y | 0.0037 ||align=right|269.3 : 1 || 0.1277 ||align=right| 6.8 : 1 || 0.0269 ||align=right| 36.2 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.3180 ||align=right| 2.1 : 1 || 0.0387 ||align=right| 24.9 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.5009 ||align=right| 1.0 : 1 || 0.0547 ||align=right| 17.3 : 1 |- | A-A-5-*, A-5-5-*, 2-2-5-*, 2-5-5-*,
3-3-5-*, 3-5-5-*, 4-4-5-*, 4-5-5-* | 0.0037 ||align=right|269.3 : 1 || 0.0703 ||align=right| 13.2 : 1 || 0.0244 ||align=right| 40.0 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.1939 ||align=right| 4.2 : 1 || 0.0359 ||align=right| 26.9 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.3352 ||align=right| 2.0 : 1 || 0.0517 ||align=right| 18.3 : 1 |- | A-5-x-*, 2-5-x-*, 3-5-x-*, 4-5-x-* | 0.0037 ||align=right|269.3 : 1 || 0.1166 ||align=right| 7.6 : 1 || 0.0242 ||align=right| 40.4 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.2926 ||align=right| 2.4 : 1 || 0.0356 ||align=right| 27.1 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.4652 ||align=right| 1.1 : 1 || 0.0514 ||align=right| 18.5 : 1 |- | A-5-*-*, 2-5-*-*, 3-5-*-*, 4-5-*-* | 0.0037 ||align=right|269.3 : 1 || 0.0703 ||align=right| 13.2 : 1 || 0.0218 ||align=right| 44.9 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.1939 ||align=right| 4.2 : 1 || 0.0329 ||align=right| 29.4 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.3352 ||align=right| 2.0 : 1 || 0.0485 ||align=right| 19.6 : 1 |}
- {| border="2" cellpadding="2" cellspacing="0" style="border: 3px #aaa solid; font-size: 95%;"
|+Making a nut low hand with a 9-high qualifier |- style="Background: #eee" ! rowspan=3| Hands ! colspan=6| Make on flop !! colspan=6| Make on turn !! colspan=6| Make on river |- style="Background: #eee" ! colspan=2| Nut low !! colspan=2| Non-nut low !! colspan=2| Nuts if low ! colspan=2| Nut low !! colspan=2| Non-nut low !! colspan=2| Nuts if low ! colspan=2| Nut low !! colspan=2| Non-nut low !! colspan=2| Nuts if low |- style="Background: #eee" ! Prob. !! Odds !! Prob. !! Odds !! Prob. !! Odds ! Prob. !! Odds !! Prob. !! Odds !! Prob. !! Odds ! Prob. !! Odds !! Prob. !! Odds !! Prob. !! Odds |- | A-2-3-4 | 0.2105 ||align=right| 3.8 : 1 || 0 ||align=right| ∞ || 0.9712 ||align=right| <0.1 : 1 | 0.4657 ||align=right| 1.1 : 1 || 0.0089 ||align=right|111.6 : 1 || 0.9591 ||align=right| <0.1 : 1 | 0.6628 ||align=right| 0.5 : 1 || 0.0275 ||align=right| 35.4 : 1 || 0.9440 ||align=right| 0.1 : 1 |- | A-2-3-5 | 0.1855 ||align=right| 4.4 : 1 || 0.0250 ||align=right| 39.0 : 1 || 0.8559 ||align=right| 0.2 : 1 | 0.4091 ||align=right| 1.4 : 1 || 0.0655 ||align=right| 14.3 : 1 || 0.8425 ||align=right| 0.2 : 1 | 0.5811 ||align=right| 0.7 : 1 || 0.1092 ||align=right| 8.2 : 1 || 0.8277 ||align=right| 0.2 : 1 |- | A-2-3-* | 0.1989 ||align=right| 4.0 : 1 || 0 ||align=right| ∞ || 0.8360 ||align=right| 0.2 : 1 | 0.4204 ||align=right| 1.4 : 1 || 0.0311 ||align=right| 31.2 : 1 || 0.8101 ||align=right| 0.2 : 1 | 0.5721 ||align=right| 0.7 : 1 || 0.0903 ||align=right| 10.1 : 1 || 0.7794 ||align=right| 0.3 : 1 |- | A-A-2-3, A-2-2-3, A-2-3-3 | 0.1850 ||align=right| 4.4 : 1 || 0 ||align=right| ∞ || 0.8598 ||align=right| 0.2 : 1 | 0.4051 ||align=right| 1.5 : 1 || 0.0242 ||align=right| 40.4 : 1 || 0.8387 ||align=right| 0.2 : 1 | 0.5689 ||align=right| 0.8 : 1 || 0.0718 ||align=right| 12.9 : 1 || 0.8135 ||align=right| 0.2 : 1 |- | A-2-3-x | 0.1792 ||align=right| 4.6 : 1 || 0.0312 ||align=right| 31.0 : 1 || 0.8271 ||align=right| 0.2 : 1 | 0.3894 ||align=right| 1.6 : 1 || 0.0852 ||align=right| 10.7 : 1 || 0.8019 ||align=right| 0.2 : 1 | 0.5424 ||align=right| 0.8 : 1 || 0.1479 ||align=right| 5.8 : 1 || 0.7725 ||align=right| 0.3 : 1 |- | A-2-4-5 | 0.1355 ||align=right| 6.4 : 1 || 0.0749 ||align=right| 12.3 : 1 || 0.6254 ||align=right| 0.6 : 1 | 0.3042 ||align=right| 2.3 : 1 || 0.1703 ||align=right| 4.9 : 1 || 0.6266 ||align=right| 0.6 : 1 | 0.4421 ||align=right| 1.3 : 1 || 0.2482 ||align=right| 3.0 : 1 || 0.6296 ||align=right| 0.6 : 1 |- | A-A-2-4, A-2-2-4 | 0.1388 ||align=right| 6.2 : 1 || 0.0463 ||align=right| 20.6 : 1 || 0.6448 ||align=right| 0.6 : 1 | 0.3072 ||align=right| 2.3 : 1 || 0.1220 ||align=right| 7.2 : 1 || 0.6361 ||align=right| 0.6 : 1 | 0.4377 ||align=right| 1.3 : 1 || 0.2030 ||align=right| 3.9 : 1 || 0.6259 ||align=right| 0.6 : 1 |- | A-2-4-* | 0.1434 ||align=right| 6.0 : 1 || 0.0555 ||align=right| 17.0 : 1 || 0.6027 ||align=right| 0.7 : 1 | 0.3069 ||align=right| 2.3 : 1 || 0.1446 ||align=right| 5.9 : 1 || 0.5914 ||align=right| 0.7 : 1 | 0.4248 ||align=right| 1.4 : 1 || 0.2375 ||align=right| 3.2 : 1 || 0.5789 ||align=right| 0.7 : 1 |- | A-2-4-4 | 0.1295 ||align=right| 6.7 : 1 || 0.0555 ||align=right| 17.0 : 1 || 0.6018 ||align=right| 0.7 : 1 | 0.2866 ||align=right| 2.5 : 1 || 0.1426 ||align=right| 6.0 : 1 || 0.5936 ||align=right| 0.7 : 1 | 0.4088 ||align=right| 1.4 : 1 || 0.2319 ||align=right| 3.3 : 1 || 0.5846 ||align=right| 0.7 : 1 |- | A-2-4-x | 0.1293 ||align=right| 6.7 : 1 || 0.0812 ||align=right| 11.3 : 1 || 0.5966 ||align=right| 0.7 : 1 | 0.2845 ||align=right| 2.5 : 1 || 0.1900 ||align=right| 4.3 : 1 || 0.5860 ||align=right| 0.7 : 1 | 0.4033 ||align=right| 1.5 : 1 || 0.2870 ||align=right| 2.5 : 1 || 0.5744 ||align=right| 0.7 : 1 |- | A-A-A-2, A-2-2-2 | 0.1295 ||align=right| 6.7 : 1 || 0 ||align=right| ∞ || 0.6107 ||align=right| 0.6 : 1 | 0.2834 ||align=right| 2.5 : 1 || 0.0447 ||align=right| 21.4 : 1 || 0.5932 ||align=right| 0.7 : 1 | 0.3973 ||align=right| 1.5 : 1 || 0.1304 ||align=right| 6.7 : 1 || 0.5725 ||align=right| 0.7 : 1 |- | A-A-2-2 | 0.1295 ||align=right| 6.7 : 1 || 0 ||align=right| ∞ || 0.6061 ||align=right| 0.7 : 1 | 0.2834 ||align=right| 2.5 : 1 || 0.0447 ||align=right| 21.4 : 1 || 0.5899 ||align=right| 0.7 : 1 | 0.3973 ||align=right| 1.5 : 1 || 0.1304 ||align=right| 6.7 : 1 || 0.5703 ||align=right| 0.8 : 1 |- | A-A-2-5, A-2-2-5 | 0.1203 ||align=right| 7.3 : 1 || 0.0648 ||align=right| 14.4 : 1 || 0.5588 ||align=right| 0.8 : 1 | 0.2648 ||align=right| 2.8 : 1 || 0.1645 ||align=right| 5.1 : 1 || 0.5483 ||align=right| 0.8 : 1 | 0.3758 ||align=right| 1.7 : 1 || 0.2650 ||align=right| 2.8 : 1 || 0.5373 ||align=right| 0.9 : 1 |- | A-A-2-*, A-2-2-* | 0.1295 ||align=right| 6.7 : 1 || 0 ||align=right| ∞ || 0.5479 ||align=right| 0.8 : 1 | 0.2722 ||align=right| 2.7 : 1 || 0.0559 ||align=right| 16.9 : 1 || 0.5272 ||align=right| 0.9 : 1 | 0.3679 ||align=right| 1.7 : 1 || 0.1598 ||align=right| 5.3 : 1 || 0.5030 ||align=right| 1.0 : 1 |- | A-2-5-* | 0.1212 ||align=right| 7.3 : 1 || 0.0777 ||align=right| 11.9 : 1 || 0.5094 ||align=right| 1.0 : 1 | 0.2575 ||align=right| 2.9 : 1 || 0.1939 ||align=right| 4.2 : 1 || 0.4963 ||align=right| 1.0 : 1 | 0.3550 ||align=right| 1.8 : 1 || 0.3074 ||align=right| 2.3 : 1 || 0.4837 ||align=right| 1.1 : 1 |- | A-3-4-5, 2-3-4-5 | 0.1156 ||align=right| 7.6 : 1 || 0.0694 ||align=right| 13.4 : 1 || 0.5373 ||align=right| 0.9 : 1 | 0.2500 ||align=right| 3.0 : 1 || 0.1793 ||align=right| 4.6 : 1 || 0.5176 ||align=right| 0.9 : 1 | 0.3462 ||align=right| 1.9 : 1 || 0.2945 ||align=right| 2.4 : 1 || 0.4951 ||align=right| 1.0 : 1 |- | A-2-*-* | 0.1295 ||align=right| 6.7 : 1 || 0 ||align=right| ∞ || 0.4969 ||align=right| 1.0 : 1 | 0.2610 ||align=right| 2.8 : 1 || 0.0671 ||align=right| 13.9 : 1 || 0.4721 ||align=right| 1.1 : 1 | 0.3397 ||align=right| 1.9 : 1 || 0.1879 ||align=right| 4.3 : 1 || 0.4443 ||align=right| 1.3 : 1 |- | A-A-2-x, A-2-2-x | 0.1085 ||align=right| 8.2 : 1 || 0.1020 ||align=right| 8.8 : 1 || 0.5005 ||align=right| 1.0 : 1 | 0.2373 ||align=right| 3.2 : 1 || 0.2372 ||align=right| 3.2 : 1 || 0.4888 ||align=right| 1.0 : 1 | 0.3355 ||align=right| 2.0 : 1 || 0.3548 ||align=right| 1.8 : 1 || 0.4778 ||align=right| 1.1 : 1 |- | A-2-5-x | 0.1156 ||align=right| 7.6 : 1 || 0.0833 ||align=right| 11.0 : 1 || 0.4860 ||align=right| 1.1 : 1 | 0.2400 ||align=right| 3.2 : 1 || 0.2114 ||align=right| 3.7 : 1 || 0.4626 ||align=right| 1.2 : 1 | 0.3205 ||align=right| 2.1 : 1 || 0.3419 ||align=right| 1.9 : 1 || 0.4367 ||align=right| 1.3 : 1 |- | A-2-5-5 | 0.1029 ||align=right| 8.7 : 1 || 0.1075 ||align=right| 8.3 : 1 || 0.4749 ||align=right| 1.1 : 1 | 0.2198 ||align=right| 3.5 : 1 || 0.2547 ||align=right| 2.9 : 1 || 0.4528 ||align=right| 1.2 : 1 | 0.3010 ||align=right| 2.3 : 1 || 0.3893 ||align=right| 1.6 : 1 || 0.4287 ||align=right| 1.3 : 1 |- | A-2-x-* | 0.1018 ||align=right| 8.8 : 1 || 0.0833 ||align=right| 11.0 : 1 || 0.4729 ||align=right| 1.1 : 1 | 0.2178 ||align=right| 3.6 : 1 || 0.2114 ||align=right| 3.7 : 1 || 0.4510 ||align=right| 1.2 : 1 | 0.2989 ||align=right| 2.3 : 1 || 0.3419 ||align=right| 1.9 : 1 || 0.4273 ||align=right| 1.3 : 1 |- | A-3-4-*, 2-3-4-* | 0.0791 ||align=right| 11.6 : 1 || 0.1314 ||align=right| 6.6 : 1 || 0.3650 ||align=right| 1.7 : 1 | 0.1900 ||align=right| 4.3 : 1 || 0.2846 ||align=right| 2.5 : 1 || 0.3913 ||align=right| 1.6 : 1 | 0.2968 ||align=right| 2.4 : 1 || 0.3935 ||align=right| 1.5 : 1 || 0.4227 ||align=right| 1.4 : 1 |- | A-A-3-4, A-3-3-4, A-3-4-4, 2-2-3-4,
2-3-3-4, 2-3-4-4 | 0.0786 ||align=right| 11.7 : 1 || 0.1203 ||align=right| 7.3 : 1 || 0.3305 ||align=right| 2.0 : 1 | 0.1794 ||align=right| 4.6 : 1 || 0.2720 ||align=right| 2.7 : 1 || 0.3458 ||align=right| 1.9 : 1 | 0.2668 ||align=right| 2.7 : 1 || 0.3956 ||align=right| 1.5 : 1 || 0.3635 ||align=right| 1.8 : 1 |- | A-3-4-x, 2-3-4-x | 0.0740 ||align=right| 12.5 : 1 || 0.1110 ||align=right| 8.0 : 1 || 0.3439 ||align=right| 1.9 : 1 | 0.1740 ||align=right| 4.7 : 1 || 0.2552 ||align=right| 2.9 : 1 || 0.3603 ||align=right| 1.8 : 1 | 0.2652 ||align=right| 2.8 : 1 || 0.3755 ||align=right| 1.7 : 1 || 0.3792 ||align=right| 1.6 : 1 |- | A-2-x-y | 0.0728 ||align=right| 12.7 : 1 || 0.1376 ||align=right| 6.3 : 1 || 0.3362 ||align=right| 2.0 : 1 | 0.1703 ||align=right| 4.9 : 1 || 0.3043 ||align=right| 2.3 : 1 || 0.3507 ||align=right| 1.9 : 1 | 0.2580 ||align=right| 2.9 : 1 || 0.4323 ||align=right| 1.3 : 1 || 0.3675 ||align=right| 1.7 : 1 |- | A-2-x-x | 0.0728 ||align=right| 12.7 : 1 || 0.1376 ||align=right| 6.3 : 1 || 0.3362 ||align=right| 2.0 : 1 | 0.1703 ||align=right| 4.9 : 1 || 0.3043 ||align=right| 2.3 : 1 || 0.3507 ||align=right| 1.9 : 1 | 0.2580 ||align=right| 2.9 : 1 || 0.4323 ||align=right| 1.3 : 1 || 0.3675 ||align=right| 1.7 : 1 |- | A-A-3-5, A-3-3-5, 2-2-3-5, 2-3-3-5 | 0.0555 ||align=right| 17.0 : 1 || 0.1295 ||align=right| 6.7 : 1 || 0.2579 ||align=right| 2.9 : 1 | 0.1316 ||align=right| 6.6 : 1 || 0.2977 ||align=right| 2.4 : 1 || 0.2724 ||align=right| 2.7 : 1 | 0.2033 ||align=right| 3.9 : 1 || 0.4375 ||align=right| 1.3 : 1 || 0.2907 ||align=right| 2.4 : 1 |- | A-3-5-*, 2-3-5-* | 0.0564 ||align=right| 16.7 : 1 || 0.1425 ||align=right| 6.0 : 1 || 0.2372 ||align=right| 3.2 : 1 | 0.1301 ||align=right| 6.7 : 1 || 0.3213 ||align=right| 2.1 : 1 || 0.2507 ||align=right| 3.0 : 1 | 0.1969 ||align=right| 4.1 : 1 || 0.4654 ||align=right| 1.1 : 1 || 0.2683 ||align=right| 2.7 : 1 |- | A-3-5-x, 2-3-5-x | 0.0555 ||align=right| 17.0 : 1 || 0.0740 ||align=right| 12.5 : 1 || 0.2617 ||align=right| 2.8 : 1 | 0.1288 ||align=right| 6.8 : 1 || 0.1993 ||align=right| 4.0 : 1 || 0.2696 ||align=right| 2.7 : 1 | 0.1935 ||align=right| 4.2 : 1 || 0.3341 ||align=right| 2.0 : 1 || 0.2789 ||align=right| 2.6 : 1 |- | A-3-5-5, 2-3-5-5 | 0.0555 ||align=right| 17.0 : 1 || 0.0740 ||align=right| 12.5 : 1 || 0.2617 ||align=right| 2.8 : 1 | 0.1288 ||align=right| 6.8 : 1 || 0.1993 ||align=right| 4.0 : 1 || 0.2696 ||align=right| 2.7 : 1 | 0.1935 ||align=right| 4.2 : 1 || 0.3341 ||align=right| 2.0 : 1 || 0.2789 ||align=right| 2.6 : 1 |- | A-A-A-3, A-3-3-3, 2-2-2-3, 2-3-3-3 | 0.0555 ||align=right| 17.0 : 1 || 0.0740 ||align=right| 12.5 : 1 || 0.2597 ||align=right| 2.9 : 1 | 0.1288 ||align=right| 6.8 : 1 || 0.1993 ||align=right| 4.0 : 1 || 0.2681 ||align=right| 2.7 : 1 | 0.1935 ||align=right| 4.2 : 1 || 0.3341 ||align=right| 2.0 : 1 || 0.2778 ||align=right| 2.6 : 1 |- | A-A-3-3, 2-2-3-3 | 0.0518 ||align=right| 18.3 : 1 || 0.1332 ||align=right| 6.5 : 1 || 0.2407 ||align=right| 3.2 : 1 | 0.1227 ||align=right| 7.2 : 1 || 0.3065 ||align=right| 2.3 : 1 || 0.2540 ||align=right| 2.9 : 1 | 0.1897 ||align=right| 4.3 : 1 || 0.4510 ||align=right| 1.2 : 1 || 0.2713 ||align=right| 2.7 : 1 |- | A-A-3-*, A-3-3-*, 2-2-3-*, 2-3-3-* | 0.0555 ||align=right| 17.0 : 1 || 0.0740 ||align=right| 12.5 : 1 || 0.2348 ||align=right| 3.3 : 1 | 0.1242 ||align=right| 7.1 : 1 || 0.2039 ||align=right| 3.9 : 1 || 0.2405 ||align=right| 3.2 : 1 | 0.1809 ||align=right| 4.5 : 1 || 0.3467 ||align=right| 1.9 : 1 || 0.2474 ||align=right| 3.0 : 1 |- | A-3-*-*, 2-3-*-* | 0.0509 ||align=right| 18.7 : 1 || 0.1341 ||align=right| 6.5 : 1 || 0.2364 ||align=right| 3.2 : 1 | 0.1168 ||align=right| 7.6 : 1 || 0.3125 ||align=right| 2.2 : 1 || 0.2418 ||align=right| 3.1 : 1 | 0.1737 ||align=right| 4.8 : 1 || 0.4670 ||align=right| 1.1 : 1 || 0.2484 ||align=right| 3.0 : 1 |- | A-A-3-x, A-3-3-x, 2-2-3-x, 2-3-3-x | 0.0509 ||align=right| 18.7 : 1 || 0.1341 ||align=right| 6.5 : 1 || 0.2364 ||align=right| 3.2 : 1 | 0.1168 ||align=right| 7.6 : 1 || 0.3125 ||align=right| 2.2 : 1 || 0.2418 ||align=right| 3.1 : 1 | 0.1737 ||align=right| 4.8 : 1 || 0.4670 ||align=right| 1.1 : 1 || 0.2484 ||align=right| 3.0 : 1 |- | A-3-x-*, 2-3-x-* | 0.0509 ||align=right| 18.7 : 1 || 0.1480 ||align=right| 5.8 : 1 || 0.2139 ||align=right| 3.7 : 1 | 0.1126 ||align=right| 7.9 : 1 || 0.3389 ||align=right| 2.0 : 1 || 0.2170 ||align=right| 3.6 : 1 | 0.1625 ||align=right| 5.2 : 1 || 0.4999 ||align=right| 1.0 : 1 || 0.2214 ||align=right| 3.5 : 1 |- | A-3-x-y, 2-3-x-y | 0.0465 ||align=right| 20.5 : 1 || 0.1640 ||align=right| 5.1 : 1 || 0.2145 ||align=right| 3.7 : 1 | 0.1056 ||align=right| 8.5 : 1 || 0.3690 ||align=right| 1.7 : 1 || 0.2174 ||align=right| 3.6 : 1 | 0.1557 ||align=right| 5.4 : 1 || 0.5346 ||align=right| 0.9 : 1 || 0.2217 ||align=right| 3.5 : 1 |- | A-3-x-x, 2-3-x-x | 0.0463 ||align=right| 20.6 : 1 || 0.1388 ||align=right| 6.2 : 1 || 0.2149 ||align=right| 3.7 : 1 | 0.1052 ||align=right| 8.5 : 1 || 0.3241 ||align=right| 2.1 : 1 || 0.2178 ||align=right| 3.6 : 1 | 0.1553 ||align=right| 5.4 : 1 || 0.4855 ||align=right| 1.1 : 1 || 0.2220 ||align=right| 3.5 : 1 |- | A-4-5-*, 2-4-5-*, 3-4-5-* | 0.0231 ||align=right| 42.2 : 1 || 0.1758 ||align=right| 4.7 : 1 || 0.0972 ||align=right| 9.3 : 1 | 0.0617 ||align=right| 15.2 : 1 || 0.3898 ||align=right| 1.6 : 1 || 0.1189 ||align=right| 7.4 : 1 | 0.1080 ||align=right| 8.3 : 1 || 0.5544 ||align=right| 0.8 : 1 || 0.1471 ||align=right| 5.8 : 1 |- | A-A-4-5, A-4-4-5, A-4-5-5, 2-2-4-5,
2-4-4-5, 2-4-5-5, 3-3-4-5, 3-4-4-5,
3-4-5-5 | 0.0222 ||align=right| 44.0 : 1 || 0.1628 ||align=right| 5.1 : 1 || 0.1032 ||align=right| 8.7 : 1 | 0.0602 ||align=right| 15.6 : 1 || 0.3690 ||align=right| 1.7 : 1 || 0.1246 ||align=right| 7.0 : 1 | 0.1065 ||align=right| 8.4 : 1 || 0.5342 ||align=right| 0.9 : 1 || 0.1523 ||align=right| 5.6 : 1 |- | A-4-5-x, 2-4-5-x, 3-4-5-x | 0.0222 ||align=right| 44.0 : 1 || 0.1883 ||align=right| 4.3 : 1 || 0.1025 ||align=right| 8.8 : 1 | 0.0602 ||align=right| 15.6 : 1 || 0.4144 ||align=right| 1.4 : 1 || 0.1240 ||align=right| 7.1 : 1 | 0.1065 ||align=right| 8.4 : 1 || 0.5838 ||align=right| 0.7 : 1 || 0.1517 ||align=right| 5.6 : 1 |- | A-A-A-4, A-4-4-4, 2-2-2-4, 2-4-4-4,
3-3-3-4, 3-4-4-4 | 0.0185 ||align=right| 53.1 : 1 || 0.1110 ||align=right| 8.0 : 1 || 0.0872 ||align=right| 10.5 : 1 | 0.0482 ||align=right| 19.8 : 1 || 0.2799 ||align=right| 2.6 : 1 || 0.1009 ||align=right| 8.9 : 1 | 0.0823 ||align=right| 11.2 : 1 || 0.4454 ||align=right| 1.2 : 1 || 0.1185 ||align=right| 7.4 : 1 |- | A-A-4-4, 2-2-4-4, 3-3-4-4 | 0.0185 ||align=right| 53.1 : 1 || 0.1110 ||align=right| 8.0 : 1 || 0.0866 ||align=right| 10.6 : 1 | 0.0482 ||align=right| 19.8 : 1 || 0.2799 ||align=right| 2.6 : 1 || 0.1003 ||align=right| 9.0 : 1 | 0.0823 ||align=right| 11.2 : 1 || 0.4454 ||align=right| 1.2 : 1 || 0.1181 ||align=right| 7.5 : 1 |- | A-A-4-*, A-4-4-*, 2-2-4-*, 2-4-4-*,
3-3-4-*, 3-4-4-* | 0.0185 ||align=right| 53.1 : 1 || 0.1110 ||align=right| 8.0 : 1 || 0.0783 ||align=right| 11.8 : 1 | 0.0469 ||align=right| 20.3 : 1 || 0.2812 ||align=right| 2.6 : 1 || 0.0908 ||align=right| 10.0 : 1 | 0.0784 ||align=right| 11.7 : 1 || 0.4492 ||align=right| 1.2 : 1 || 0.1073 ||align=right| 8.3 : 1 |- | A-A-4-x, A-4-4-x, 2-2-4-x, 2-4-4-x,
3-3-4-x, 3-4-4-x | 0.0176 ||align=right| 55.9 : 1 || 0.1674 ||align=right| 5.0 : 1 || 0.0817 ||align=right| 11.2 : 1 | 0.0454 ||align=right| 21.0 : 1 || 0.3838 ||align=right| 1.6 : 1 || 0.0940 ||align=right| 9.6 : 1 | 0.0770 ||align=right| 12.0 : 1 || 0.5638 ||align=right| 0.8 : 1 || 0.1101 ||align=right| 8.1 : 1 |- | A-4-*-*, 2-4-*-*, 3-4-*-* | 0.0185 ||align=right| 53.1 : 1 || 0.1110 ||align=right| 8.0 : 1 || 0.0710 ||align=right| 13.1 : 1 | 0.0456 ||align=right| 21.0 : 1 || 0.2825 ||align=right| 2.5 : 1 || 0.0824 ||align=right| 11.1 : 1 | 0.0748 ||align=right| 12.4 : 1 || 0.4529 ||align=right| 1.2 : 1 || 0.0978 ||align=right| 9.2 : 1 |- | A-4-x-*, 2-4-x-*, 3-4-x-* | 0.0176 ||align=right| 55.9 : 1 || 0.1813 ||align=right| 4.5 : 1 || 0.0739 ||align=right| 12.5 : 1 | 0.0442 ||align=right| 21.6 : 1 || 0.4073 ||align=right| 1.5 : 1 || 0.0851 ||align=right| 10.8 : 1 | 0.0735 ||align=right| 12.6 : 1 || 0.5889 ||align=right| 0.7 : 1 || 0.1001 ||align=right| 9.0 : 1 |- | A-4-x-x, 2-4-x-x, 3-4-x-x | 0.0167 ||align=right| 59.1 : 1 || 0.1684 ||align=right| 4.9 : 1 || 0.0774 ||align=right| 11.9 : 1 | 0.0427 ||align=right| 22.4 : 1 || 0.3866 ||align=right| 1.6 : 1 || 0.0884 ||align=right| 10.3 : 1 | 0.0721 ||align=right| 12.9 : 1 || 0.5687 ||align=right| 0.8 : 1 || 0.1030 ||align=right| 8.7 : 1 |- | A-4-x-y, 2-4-x-y, 3-4-x-y | 0.0167 ||align=right| 59.1 : 1 || 0.1938 ||align=right| 4.2 : 1 || 0.0768 ||align=right| 12.0 : 1 | 0.0427 ||align=right| 22.4 : 1 || 0.4319 ||align=right| 1.3 : 1 || 0.0879 ||align=right| 10.4 : 1 | 0.0721 ||align=right| 12.9 : 1 || 0.6182 ||align=right| 0.6 : 1 || 0.1026 ||align=right| 8.7 : 1 |- | A-A-A-5, A-5-5-5, 2-2-2-5, 2-5-5-5,
3-3-3-5, 3-5-5-5, 4-4-4-5, 4-5-5-5 | 0.0037 ||align=right|269.3 : 1 || 0.1258 ||align=right| 6.9 : 1 || 0.0174 ||align=right| 56.3 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.3148 ||align=right| 2.2 : 1 || 0.0279 ||align=right| 34.9 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.4977 ||align=right| 1.0 : 1 || 0.0432 ||align=right| 22.2 : 1 |- | A-A-5-5, 2-2-5-5, 3-3-5-5, 4-4-5-5 | 0.0037 ||align=right|269.3 : 1 || 0.1258 ||align=right| 6.9 : 1 || 0.0173 ||align=right| 56.8 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.3148 ||align=right| 2.2 : 1 || 0.0277 ||align=right| 35.1 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.4977 ||align=right| 1.0 : 1 || 0.0430 ||align=right| 22.2 : 1 |- | A-A-5-x, A-5-5-x, 2-2-5-x, 2-5-5-x,
3-3-5-x, 3-5-5-x, 4-4-5-x, 4-5-5-x,
A-5-x-x, 2-5-x-x, 3-5-x-x, 4-5-x-x | 0.0037 ||align=right|269.3 : 1 || 0.1813 ||align=right| 4.5 : 1 || 0.0172 ||align=right| 57.2 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.4159 ||align=right| 1.4 : 1 || 0.0276 ||align=right| 35.3 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.6108 ||align=right| 0.6 : 1 || 0.0428 ||align=right| 22.3 : 1 |- | A-5-x-y, 2-5-x-y, 3-5-x-y, 4-5-x-y | 0.0037 ||align=right|269.3 : 1 || 0.2068 ||align=right| 3.8 : 1 || 0.0171 ||align=right| 57.6 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.4612 ||align=right| 1.2 : 1 || 0.0274 ||align=right| 35.4 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.6603 ||align=right| 0.5 : 1 || 0.0427 ||align=right| 22.4 : 1 |- | A-A-5-*, A-5-5-*, 2-2-5-*, 2-5-5-*,
3-3-5-*, 3-5-5-*, 4-4-5-*, 4-5-5-* | 0.0037 ||align=right|269.3 : 1 || 0.1258 ||align=right| 6.9 : 1 || 0.0157 ||align=right| 62.9 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.3148 ||align=right| 2.2 : 1 || 0.0258 ||align=right| 37.8 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.4977 ||align=right| 1.0 : 1 || 0.0410 ||align=right| 23.4 : 1 |- | A-5-x-*, 2-5-x-*, 3-5-x-*, 4-5-x-* | 0.0037 ||align=right|269.3 : 1 || 0.1952 ||align=right| 4.1 : 1 || 0.0156 ||align=right| 63.3 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.4381 ||align=right| 1.3 : 1 || 0.0257 ||align=right| 38.0 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.6324 ||align=right| 0.6 : 1 || 0.0408 ||align=right| 23.5 : 1 |- | A-5-*-*, 2-5-*-*, 3-5-*-*, 4-5-*-* | 0.0037 ||align=right|269.3 : 1 || 0.1258 ||align=right| 6.9 : 1 || 0.0142 ||align=right| 69.4 : 1 | 0.0133 ||align=right| 74.1 : 1 || 0.3148 ||align=right| 2.2 : 1 || 0.0241 ||align=right| 40.5 : 1 | 0.0300 ||align=right| 32.4 : 1 || 0.4977 ||align=right| 1.0 : 1 || 0.0392 ||align=right| 24.5 : 1 |}
Note that while the probabilities are different between an 8-high and 9-high qualifier, the relative probabilities and the order of the probabilities for the hands making the nuts is the same for both qualifiers.
See also
- Binomial coefficient