Texas Holdem Ladder
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Introduction
The following table ranks the top hands in an 8-player game. This table assumes that all players stay in until the end.
Explanation of column headings.- Cards: Initial two-card hand.
- Probability of win: Probability that this hand will win, or tie for the win.
- Average win: This is how much the player will win on average, including his own bets, if the player does win. This is less than 8 because sometimes the player will have to split the pot.
- Expected value: This is how many units the player can expected to win (positive) or lose (negative) with this hand. For example if the player had a pair of aces and contibuted $1 to the pot then the player could expect to have a net win of $2.09.
- Probability: Probability of getting this hand to begin with.
- Additive probability: Probability of getting this hand or any stronger hand to begin with.
Initial Hold'em Hands in Rank Order for 8-Player Game
Texas Holdem Lady
| Cards | Probability of Win | Average Win | Expected Value | Probability | Additive Probability |
| Pair of A's | 39.05% | 7.94 | 2.099 | 0.45% | 0.45% |
| Pair of K's | 33.26% | 7.92 | 1.6328 | 0.45% | 0.9% |
| Pair of Q's | 28.71% | 7.88 | 1.2628 | 0.45% | 1.36% |
| A/K suited | 26% | 7.67 | 0.9953 | 0.3% | 1.66% |
| Pair of J's | 25.13% | 7.84 | 0.9705 | 0.45% | 2.11% |
| A/Q suited | 24.51% | 7.6 | 0.8628 | 0.3% | 2.41% |
| K/Q suited | 23.72% | 7.61 | 0.8043 | 0.3% | 2.71% |
| A/J suited | 23.41% | 7.53 | 0.7616 | 0.3% | 3.02% |
| Pair of T's | 22.32% | 7.79 | 0.7395 | 0.45% | 3.47% |
| A/K unsuited | 22.68% | 7.61 | 0.7264 | 0.9% | 4.37% |
| K/J suited | 22.66% | 7.53 | 0.7073 | 0.3% | 4.68% |
| A/T suited | 22.55% | 7.45 | 0.6803 | 0.3% | 4.98% |
| Q/J suited | 22.1% | 7.52 | 0.6622 | 0.3% | 5.28% |
| K/T suited | 21.87% | 7.47 | 0.633 | 0.3% | 5.58% |
| Q/T suited | 21.38% | 7.45 | 0.5936 | 0.3% | 5.88% |
| J/T suited | 21.26% | 7.44 | 0.5813 | 0.3% | 6.18% |
| A/Q unsuited | 20.98% | 7.51 | 0.5765 | 0.9% | 7.09% |
| Pair of 9's | 19.89% | 7.81 | 0.5527 | 0.45% | 7.54% |
| K/Q unsuited | 20.31% | 7.52 | 0.5281 | 0.9% | 8.45% |
| A/9 suited | 20.28% | 7.39 | 0.4981 | 0.3% | 8.75% |
| A/J unsuited | 19.7% | 7.41 | 0.4607 | 0.9% | 9.65% |
| K/9 suited | 19.5% | 7.42 | 0.4466 | 0.3% | 9.95% |
| A/8 suited | 19.66% | 7.32 | 0.4386 | 0.3% | 10.26% |
| K/J unsuited | 19.1% | 7.43 | 0.4183 | 0.9% | 11.16% |
| Pair of 8's | 18.19% | 7.79 | 0.4164 | 0.45% | 11.61% |
| T/9 suited | 19.18% | 7.38 | 0.4162 | 0.3% | 11.92% |
| Q/9 suited | 19.03% | 7.41 | 0.4107 | 0.3% | 12.22% |
| J/9 suited | 18.96% | 7.4 | 0.4032 | 0.3% | 12.52% |
| A/5 suited | 19.29% | 7.21 | 0.3914 | 0.3% | 12.82% |
| A/7 suited | 19.12% | 7.26 | 0.3883 | 0.3% | 13.12% |
| Q/J unsuited | 18.67% | 7.41 | 0.3832 | 0.9% | 14.03% |
| A/T unsuited | 18.74% | 7.31 | 0.3705 | 0.9% | 14.93% |
| A/4 suited | 18.86% | 7.23 | 0.3638 | 0.3% | 15.23% |
| A/6 suited | 18.62% | 7.22 | 0.3448 | 0.3% | 15.54% |
| A/3 suited | 18.41% | 7.26 | 0.336 | 0.3% | 15.84% |
| K/T unsuited | 18.18% | 7.33 | 0.3328 | 0.9% | 16.74% |
| K/8 suited | 18.05% | 7.33 | 0.3234 | 0.3% | 17.04% |
| Pair of 7's | 16.85% | 7.77 | 0.309 | 0.45% | 17.5% |
| Q/T unsuited | 17.83% | 7.32 | 0.3044 | 0.9% | 18.4% |
| J/T unsuited | 17.86% | 7.3 | 0.3041 | 0.9% | 19.31% |
| A/2 suited | 17.86% | 7.28 | 0.2997 | 0.3% | 19.61% |
| T/8 suited | 17.68% | 7.32 | 0.2949 | 0.3% | 19.91% |
| Q/8 suited | 17.51% | 7.34 | 0.285 | 0.3% | 20.21% |
| J/8 suited | 17.44% | 7.33 | 0.2792 | 0.3% | 20.51% |
| K/7 suited | 17.57% | 7.27 | 0.2777 | 0.3% | 20.81% |
| 9/8 suited | 17.31% | 7.38 | 0.2768 | 0.3% | 21.12% |
| K/6 suited | 17.17% | 7.23 | 0.2413 | 0.3% | 21.42% |
| Pair of 6's | 15.84% | 7.75 | 0.2282 | 0.45% | 21.87% |
| K/5 suited | 16.83% | 7.2 | 0.2117 | 0.3% | 22.17% |
| 8/7 suited | 16.38% | 7.35 | 0.2033 | 0.3% | 22.47% |
| K/4 suited | 16.44% | 7.22 | 0.1869 | 0.3% | 22.78% |
| 9/7 suited | 16.2% | 7.33 | 0.1868 | 0.3% | 23.08% |
| T/7 suited | 16.3% | 7.26 | 0.1827 | 0.3% | 23.38% |
| Q/7 suited | 16.22% | 7.25 | 0.1756 | 0.3% | 23.68% |
| A/9 unsuited | 16.27% | 7.2 | 0.1711 | 0.9% | 24.59% |
| J/7 suited | 16.07% | 7.26 | 0.1662 | 0.3% | 24.89% |
| K/3 suited | 16.06% | 7.26 | 0.1653 | 0.3% | 25.19% |
| Pair of 5's | 14.93% | 7.73 | 0.1542 | 0.45% | 25.64% |
| 7/6 suited | 15.66% | 7.33 | 0.1481 | 0.3% | 25.94% |
| K/2 suited | 15.7% | 7.29 | 0.1446 | 0.3% | 26.24% |
| Q/6 suited | 15.85% | 7.2 | 0.1417 | 0.3% | 26.55% |
| T/9 unsuited | 15.71% | 7.21 | 0.1332 | 0.9% | 27.45% |
| K/9 unsuited | 15.62% | 7.24 | 0.1308 | 0.9% | 28.36% |
| 8/6 suited | 15.37% | 7.3 | 0.1223 | 0.3% | 28.66% |
| Q/5 suited | 15.56% | 7.17 | 0.1158 | 0.3% | 28.96% |
| Pair of 4's | 14.31% | 7.76 | 0.1103 | 0.45% | 29.41% |
| J/9 unsuited | 15.34% | 7.22 | 0.1081 | 0.9% | 30.32% |
| 6/5 suited | 15.12% | 7.32 | 0.1067 | 0.3% | 30.62% |
| Q/9 unsuited | 15.27% | 7.23 | 0.1044 | 0.9% | 31.52% |
| A/8 unsuited | 15.55% | 7.1 | 0.1037 | 0.9% | 32.43% |
| Q/4 suited | 15.16% | 7.2 | 0.0916 | 0.3% | 32.73% |
| 9/6 suited | 14.99% | 7.26 | 0.0891 | 0.3% | 33.03% |
| 5/4 suited | 14.74% | 7.32 | 0.0789 | 0.3% | 33.33% |
| T/6 suited | 15.03% | 7.18 | 0.0785 | 0.3% | 33.63% |
| Pair of 3's | 13.83% | 7.8 | 0.0782 | 0.45% | 34.09% |
| 7/5 suited | 14.74% | 7.29 | 0.0741 | 0.3% | 34.39% |
| Q/3 suited | 14.81% | 7.24 | 0.0721 | 0.3% | 34.69% |
| J/6 suited | 14.92% | 7.17 | 0.0691 | 0.3% | 34.99% |
| Pair of 2's | 13.49% | 7.83 | 0.057 | 0.45% | 35.44% |
| Q/2 suited | 14.46% | 7.28 | 0.0524 | 0.3% | 35.75% |
| A/5 unsuited | 15.1% | 6.95 | 0.0489 | 0.9% | 36.65% |
| A/7 unsuited | 14.94% | 7.01 | 0.0473 | 0.9% | 37.56% |
| J/5 suited | 14.66% | 7.13 | 0.0454 | 0.3% | 37.86% |
| 6/4 suited | 14.07% | 7.33 | 0.0306 | 0.3% | 38.16% |
| 8/5 suited | 14.22% | 7.24 | 0.0303 | 0.3% | 38.46% |
| J/4 suited | 14.28% | 7.16 | 0.0222 | 0.3% | 38.76% |
| A/4 unsuited | 14.63% | 6.96 | 0.0184 | 0.9% | 39.67% |
| 5/3 suited | 13.71% | 7.33 | 0.0049 | 0.3% | 39.97% |
| J/3 suited | 13.92% | 7.2 | 0.0023 | 0.3% | 40.27% |
| A/6 unsuited | 14.39% | 6.95 | 0 | 0.9% | 41.18% |
| T/8 unsuited | 14.07% | 7.11 | -0.0002 | 0.9% | 42.08% |
| K/8 unsuited | 14.01% | 7.09 | -0.0059 | 0.9% | 42.99% |
| 9/5 suited | 13.81% | 7.19 | -0.0066 | 0.3% | 43.29% |
| T/5 suited | 13.98% | 7.09 | -0.0092 | 0.3% | 43.59% |
| A/3 unsuited | 14.15% | 6.99 | -0.0111 | 0.9% | 44.49% |
| 9/8 unsuited | 13.73% | 7.18 | -0.0137 | 0.9% | 45.4% |
| J/2 suited | 13.59% | 7.24 | -0.0154 | 0.3% | 45.7% |
| 7/4 suited | 13.48% | 7.28 | -0.0187 | 0.3% | 46% |
| J/8 unsuited | 13.68% | 7.11 | -0.0278 | 0.9% | 46.91% |
| T/4 suited | 13.64% | 7.11 | -0.0304 | 0.3% | 47.21% |
| Q/8 unsuited | 13.6% | 7.11 | -0.0331 | 0.9% | 48.11% |
| 4/3 suited | 13.09% | 7.37 | -0.0351 | 0.3% | 48.42% |
| T/3 suited | 13.3% | 7.15 | -0.049 | 0.3% | 48.72% |
| A/2 unsuited | 13.54% | 7.01 | -0.0507 | 0.9% | 49.62% |
| K/7 unsuited | 13.48% | 7 | -0.0557 | 0.9% | 50.53% |
| 6/3 suited | 12.85% | 7.33 | -0.0587 | 0.3% | 50.83% |
| 8/4 suited | 12.98% | 7.22 | -0.0626 | 0.3% | 51.13% |
| T/2 suited | 12.95% | 7.19 | -0.0682 | 0.3% | 51.43% |
| 5/2 suited | 12.5% | 7.33 | -0.0839 | 0.3% | 51.73% |
| 8/7 unsuited | 12.79% | 7.13 | -0.0877 | 0.9% | 52.64% |
| 9/4 suited | 12.71% | 7.16 | -0.0908 | 0.3% | 52.94% |
| K/6 unsuited | 13.02% | 6.94 | -0.0972 | 0.9% | 53.85% |
| 4/2 suited | 12.08% | 7.38 | -0.1079 | 0.3% | 54.15% |
| 7/3 suited | 12.25% | 7.27 | -0.1101 | 0.3% | 54.45% |
| 9/3 suited | 12.37% | 7.19 | -0.1108 | 0.3% | 54.75% |
| 9/7 unsuited | 12.54% | 7.09 | -0.1114 | 0.9% | 55.66% |
| T/7 unsuited | 12.55% | 6.98 | -0.1238 | 0.9% | 56.56% |
| 9/2 suited | 12.03% | 7.24 | -0.1287 | 0.3% | 56.86% |
| K/5 unsuited | 12.65% | 6.88 | -0.1298 | 0.9% | 57.77% |
| 7/6 unsuited | 12.08% | 7.09 | -0.1433 | 0.9% | 58.67% |
| 8/3 suited | 11.88% | 7.19 | -0.1452 | 0.3% | 58.97% |
| 3/2 suited | 11.49% | 7.43 | -0.1454 | 0.3% | 59.28% |
| 6/2 suited | 11.62% | 7.32 | -0.1492 | 0.3% | 59.58% |
| Q/7 unsuited | 12.22% | 6.95 | -0.1511 | 0.9% | 60.48% |
| J/7 unsuited | 12.18% | 6.97 | -0.1514 | 0.9% | 61.39% |
| K/4 unsuited | 12.21% | 6.9 | -0.1579 | 0.9% | 62.29% |
| 8/2 suited | 11.57% | 7.23 | -0.163 | 0.3% | 62.59% |
| 8/6 unsuited | 11.7% | 7.04 | -0.1767 | 0.9% | 63.5% |
| K/3 unsuited | 11.79% | 6.94 | -0.1818 | 0.9% | 64.4% |
| 6/5 unsuited | 11.51% | 7.07 | -0.1865 | 0.9% | 65.31% |
| Q/6 unsuited | 11.81% | 6.87 | -0.189 | 0.9% | 66.21% |
| 7/2 suited | 11.19% | 7.24 | -0.1897 | 0.3% | 66.52% |
| K/2 unsuited | 11.41% | 6.98 | -0.2035 | 0.9% | 67.42% |
| 5/4 unsuited | 11.12% | 7.06 | -0.2149 | 0.9% | 68.33% |
| 9/6 unsuited | 11.22% | 6.97 | -0.2182 | 0.9% | 69.23% |
| Q/5 unsuited | 11.46% | 6.82 | -0.2191 | 0.9% | 70.14% |
| 7/5 unsuited | 11.07% | 7 | -0.2249 | 0.9% | 71.04% |
| T/6 unsuited | 11.18% | 6.83 | -0.2361 | 0.9% | 71.95% |
| Q/4 unsuited | 11.03% | 6.84 | -0.2454 | 0.9% | 72.85% |
| J/6 unsuited | 10.94% | 6.8 | -0.2562 | 0.9% | 73.76% |
| 6/4 unsuited | 10.39% | 7.05 | -0.2677 | 0.9% | 74.66% |
| Q/3 unsuited | 10.63% | 6.88 | -0.2679 | 0.9% | 75.57% |
| 8/5 unsuited | 10.47% | 6.92 | -0.2757 | 0.9% | 76.47% |
| J/5 unsuited | 10.64% | 6.73 | -0.2837 | 0.9% | 77.38% |
| Q/2 unsuited | 10.26% | 6.93 | -0.289 | 0.9% | 78.28% |
| 5/3 unsuited | 10.04% | 7.04 | -0.2936 | 0.9% | 79.19% |
| J/4 unsuited | 10.22% | 6.76 | -0.3091 | 0.9% | 80.09% |
| 9/5 unsuited | 9.97% | 6.82 | -0.3206 | 0.9% | 81% |
| 7/4 unsuited | 9.73% | 6.95 | -0.3238 | 0.9% | 81.9% |
| T/5 unsuited | 10.06% | 6.65 | -0.3308 | 0.9% | 82.81% |
| J/3 unsuited | 9.83% | 6.81 | -0.3312 | 0.9% | 83.71% |
| 4/3 unsuited | 9.38% | 7.08 | -0.336 | 0.9% | 84.62% |
| J/2 unsuited | 9.46% | 6.86 | -0.3512 | 0.9% | 85.52% |
| T/4 unsuited | 9.66% | 6.67 | -0.3554 | 0.9% | 86.43% |
| 6/3 unsuited | 9.08% | 7 | -0.3642 | 0.9% | 87.33% |
| 8/4 unsuited | 9.12% | 6.84 | -0.3766 | 0.9% | 88.24% |
| T/3 unsuited | 9.28% | 6.72 | -0.3767 | 0.9% | 89.14% |
| 5/2 unsuited | 8.73% | 7 | -0.3892 | 0.9% | 90.05% |
| T/2 unsuited | 8.93% | 6.76 | -0.3962 | 0.9% | 90.95% |
| 9/4 unsuited | 8.76% | 6.71 | -0.4126 | 0.9% | 91.86% |
| 4/2 unsuited | 8.3% | 7.06 | -0.4138 | 0.9% | 92.76% |
| 7/3 unsuited | 8.41% | 6.88 | -0.4219 | 0.9% | 93.67% |
| 9/3 unsuited | 8.4% | 6.74 | -0.4338 | 0.9% | 94.57% |
| 9/2 unsuited | 8.04% | 6.8 | -0.4531 | 0.9% | 95.48% |
| 3/2 unsuited | 7.67% | 7.12 | -0.4543 | 0.9% | 96.38% |
| 6/2 unsuited | 7.79% | 6.94 | -0.46 | 0.9% | 97.29% |
| 8/3 unsuited | 7.96% | 6.73 | -0.4646 | 0.9% | 98.19% |
| 8/2 unsuited | 7.61% | 6.77 | -0.4844 | 0.9% | 99.1% |
| 7/2 unsuited | 7.28% | 6.77 | -0.5073 | 0.9% | 100% |
| Total | 7.2 | 0 | 100% |
Methodology
This table is the result of a random simulation of 25,729,704,000 games and assumes all players stay in until the end of the hand.
Texas Holdem Ladder Rules
The following table shows my power rating for each initial 2-card hand in a 8-player game. The numbers are on a 0 to 40 scale. Basically, you should only play hands that are dark green, blue, or purple. Of course you should be more be more liberal in late position and picky in early position.
Use the top table if you have a pair, the middle table if your cards are suited, and the bottom table if your cards are unsuited. Except for a pair,look up your high card along the left and your low card along the top.
Inside Links
Written by: Michael Shackleford
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