Darkened Poker
Texas Holdem Starting Hands
What can a hundred thousands of lines of c++ code tell us about Texas Hold'em starting hands? It can tell exactly what the expected win rate and EV for each hand should be again all the different number of opponents. Once you know what the how each hand performs under the different circumstances you can decide what kind of situations you want to create with them.
Texas Hold'em Starting Hand AA
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 85.3728 | 73.373 | 63.6168 | 56.0389 | 49.284 | 43.557 | 38.72 | 34.4978 | 31.0509 |
| EV | 0.70746 | 1.2012 | 1.54467 | 1.801945 | 1.957 | 2.04899 | 2.0976 | 2.1048 | 2.10509 |
Which is conceptually easier to understand when graphed.
Texas Hold'em Starting Hand KK
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 82.1975 | 68.7723 | 58.1926 | 49.9187 | 43.0124 | 37.366 | 32.7317 | 29.0263 | 26.1908 |
| EV | 0.64395 | 1.063169 | 1.327704 | 1.495935 | 1.580744 | 1.61562 | 1.618536 | 1.612367 | 1.61908 |
Texas Hold'em Starting Hand QQ
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 79.7283 | 65.0531 | 53.3411 | 44.6952 | 37.7546 | 32.5704 | 28.3087 | 24.9508 | 22.1952 |
| EV | 0.594566 | 0.951593 | 1.133644 | 1.23476 | 1.265276 | 1.279928 | 1.264696 | 1.245572 | 1.21952 |
Texas Hold'em Starting Hand JJ
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 77.3703 | 61.0436 | 48.9828 | 40.2713 | 33.6772 | 28.4867 | 24.7731 | 21.7753 | 19.3245 |
| EV | 0.547406 | 0.831308 | 0.959312 | 1.013565 | 1.020632 | 0.994069 | 0.981848 | 0.959777 | 0.93245 |
| Rank | 4 | 4 | 4 | 4 | 4 | 4 | 5 | 7 | 8 |
With JJ's we have a new row which is the hands ranking when compared to all other hands given the # of opponents. JJ is the first Big Pair hand that's ranking drops as you add more opponents.
Texas Hold'em Starting Hand TT
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 74.8138 | 57.3728 | 45.15 | 36.2949 | 29.922 | 25.2709 | 21.7643 | 19.1769 | 17.2649 |
| EV | 0.496276 | 0.721184 | 0.806 | 0.814745 | 0.79532 | 0.768963 | 0.741144 | 0.725921 | 0.72649 |
| Rank | 5 | 5 | 5 | 6 | 7 | 10 | 14 | 16 | 16 |
Texas Hold'em Starting Hand 99
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 72.155 | 53.5368 | 41.0621 | 32.5987 | 26.6967 | 22.4392 | 19.5754 | 17.2017 | 15.5986 |
| EV | 0.4431 | 0.606104 | 0.642484 | 0.629935 | 0.601802 | 0.570744 | 0.566032 | 0.548153 | 0.55986 |
| Rank | 6 | 6 | 8 | 12 | 15 | 20 | 22 | 28 | 30 |
Texas Hold'em Starting Hand 88
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 68.8224 | 49.6219 | 37.7993 | 29.4569 | 24.0621 | 20.2116 | 17.7327 | 15.8328 | 14.5379 |
| EV | 0.376448 | 0.488657 | 0.511972 | 0.472845 | 0.443726 | 0.414812 | 0.418616 | 0.424952 | 0.45379 |
| Rank | 7 | 9 | 14 | 22 | 27 | 36 | 39 | 43 | 42 |
Texas Hold'em Starting Hand 77
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 66.2283 | 46.5665 | 34.3004 | 26.8051 | 21.5865 | 18.6621 | 16.2979 | 14.8688 | 13.8373 |
| EV | 0.324566 | 0.396995 | 0.372016 | 0.340255 | 0.29519 | 0.306347 | 0.303832 | 0.338192 | 0.38373 |
| Rank | 10 | 16 | 28 | 37 | 47 | 48 | 53 | 54 | 53 |
Texas Hold'em Starting Hand 66
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 63.3265 | 43.1769 | 31.5012 | 24.4175 | 20.1097 | 17.1447 | 15.3395 | 14.0353 | 13.0676 |
| EV | 0.26653 | 0.295307 | 0.260048 | 0.220875 | 0.206582 | 0.200129 | 0.22716 | 0.263177 | 0.30676 |
| Rank | 20 | 31 | 44 | 53 | 60 | 62 | 61 | 62 | 62 |
Texas Hold'em Starting Hand 55
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 60.5424 | 39.6905 | 28.6748 | 22.4222 | 18.5668 | 16.1202 | 14.4373 | 13.3487 | 12.4484 |
| EV | 0.210848 | 0.190715 | 0.146992 | 0.12111 | 0.114008 | 0.128414 | 0.154984 | 0.201383 | 0.24484 |
| Rank | 33 | 49 | 61 | 67 | 72 | 75 | 74 | 69 | 68 |
Texas Hold'em Starting Hand 44
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 57.0852 | 36.9693 | 26.3252 | 20.6276 | 17.2021 | 15.2893 | 14.1121 | 12.9952 | 12.1227 |
| EV | 0.141704 | 0.109079 | 0.053008 | 0.03138 | 0.032126 | 0.070251 | 0.128968 | 0.169568 | 0.21227 |
| Rank | 53 | 67 | 81 | 87 | 88 | 82 | 78 | 75 | 73 |
Texas Hold'em Starting Hand 33
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 53.8544 | 33.6012 | 24.2211 | 19.2826 | 16.2734 | 14.638 | 13.5725 | 12.7892 | 12.0972 |
| EV | 0.077088 | 0.008036 | -0.031156 | -0.03587 | -0.023596 | 0.02466 | 0.0858 | 0.151028 | 0.20972 |
| Rank | 73 | 87 | 92 | 95 | 94 | 91 | 83 | 78 | 74 |
Texas Hold'em Starting Hand 22
| # Opponents | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Win % | 50.2692 | 30.6085 | 21.9123 | 17.6661 | 15.534 | 14.0512 | 13.3921 | 12.6032 | 11.9935 |
| EV | 0.005384 | -0.081745 | -0.123508 | -0.116695 | -0.06796 | -0.016416 | 0.071368 | 0.134288 | 0.19935 |
| Rank | 88 | 101 | 108 | 105 | 102 | 94 | 86 | 79 | 75 |
