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