Poker Hands
So I wrote a little Texas Hold'em simulator to calculate the (pre-flop) win percentages of every set of hole cards in a heads-up (one-on-one) hand. It estimates the win percentages with a Monte Carlo Simulation over 50 million hands.
Then of course I made my own chart with colours and percentages.
Raw data
|----------------------------------------------+---------------------------------| | Hand Plays Won Tied Lost | Win % Tie % Loss % | |----------------------------------------------+---------------------------------| | AA 50000000 42467351 272798 7259851 | 84.934702 0.545596 14.519702 | | KK 50000000 41054461 279274 8666265 | 82.108922 0.558548 17.33253 | | QQ 50000000 39811592 293383 9895025 | 79.623184 0.586766 19.79005 | | JJ 50000000 38573680 316739 11109581 | 77.14736 0.633478 22.219162 | | TT 50000000 37329580 351404 12319016 | 74.65916 0.702808 24.638032 | | 99 50000000 35832566 391975 13775459 | 71.665132 0.78395 27.550918 | | 88 50000000 34360219 446816 15192965 | 68.720438 0.893632 30.38593 | | AKs 50000000 33112430 825645 16061925 | 66.22486 1.65129 32.12385 | | 77 50000000 32861841 508679 16629480 | 65.723682 1.017358 33.25896 | | AQs 50000000 32657262 895200 16447538 | 65.314524 1.7904 32.895076 | | AKo 50000000 32235553 852229 16912218 | 64.471106 1.704458 33.824436 | | AJs 50000000 32200010 996408 16803582 | 64.40002 1.992816 33.607164 | | AQo 50000000 31754589 924187 17321224 | 63.509178 1.848374 34.642448 | | ATs 50000000 31743136 1114938 17141926 | 63.486272 2.229876 34.283852 | | 66 50000000 31353568 584005 18062427 | 62.707136 1.16801 36.124854 | | AJo 50000000 31270665 1025659 17703676 | 62.54133 2.051318 35.407352 | | KQs 50000000 31202552 992028 17805420 | 62.405104 1.984056 35.61084 | | ATo 50000000 30787717 1151543 18060740 | 61.575434 2.303086 36.12148 | | A9s 50000000 30757372 1271457 17971171 | 61.514744 2.542914 35.942342 | | KJs 50000000 30732667 1091280 18176053 | 61.465334 2.18256 36.352106 | | KTs 50000000 30291704 1202272 18506024 | 60.583408 2.404544 37.012048 | | A8s 50000000 30255855 1438333 18305812 | 60.51171 2.876666 36.611624 | | KQo 50000000 30213689 1023294 18763017 | 60.427378 2.046588 37.526034 | | 55 50000000 29824043 685446 19490511 | 59.648086 1.370892 38.981022 | | A9o 50000000 29728118 1322115 18949767 | 59.456236 2.64423 37.899534 | | KJo 50000000 29718465 1128109 19153426 | 59.43693 2.256218 38.306852 | | A7s 50000000 29692853 1596154 18710993 | 59.385706 3.192308 37.421986 | | QJs 50000000 29533036 1189060 19277904 | 59.066072 2.37812 38.555808 | | K9s 50000000 29324415 1349247 19326338 | 58.64883 2.698494 38.652676 | | KTo 50000000 29243686 1244538 19511776 | 58.487372 2.489076 39.023552 | | A8o 50000000 29193435 1498521 19308044 | 58.38687 2.997042 38.616088 | | A6s 50000000 29089954 1724651 19185395 | 58.179908 3.449302 38.37079 | | QTs 50000000 29081431 1293271 19625298 | 58.162862 2.586542 39.250596 | | A5s 50000000 29033039 1856907 19110054 | 58.066078 3.713814 38.220108 | | A7o 50000000 28586113 1672556 19741331 | 57.172226 3.345112 39.482662 | | A4s 50000000 28570830 1894759 19534411 | 57.14166 3.789518 39.068822 | | QJo 50000000 28452065 1228128 20319807 | 56.90413 2.456256 40.639614 | | K8s 50000000 28392447 1521553 20086000 | 56.784894 3.043106 40.172 | | K9o 50000000 28208468 1404675 20386857 | 56.416936 2.80935 40.773714 | | A3s 50000000 28172314 1886918 19940768 | 56.344628 3.773836 39.881536 | | 44 50000000 28131204 764965 21103831 | 56.262408 1.52993 42.207662 | | Q9s 50000000 28104363 1442191 20453446 | 56.208726 2.884382 40.906892 | | JTs 50000000 28086892 1372747 20540361 | 56.173784 2.745494 41.080722 | | QTo 50000000 27976090 1340296 20683614 | 55.95218 2.680592 41.367228 | | A6o 50000000 27932639 1813972 20253389 | 55.865278 3.627944 40.506778 | | K7s 50000000 27924480 1691543 20383977 | 55.84896 3.383086 40.767954 | | A5o 50000000 27870512 1952918 20176570 | 55.741024 3.905836 40.35314 | | A2s 50000000 27752652 1872186 20375162 | 55.505304 3.744372 40.750324 | | K6s 50000000 27401649 1835699 20762652 | 54.803298 3.671398 41.525304 | | A4o 50000000 27367847 1998396 20633757 | 54.735694 3.996792 41.267514 | | K8o 50000000 27213865 1587940 21198195 | 54.42773 3.17588 42.39639 | | Q8s 50000000 27207483 1599684 21192833 | 54.414966 3.199368 42.385666 | | J9s 50000000 27059443 1549447 21391110 | 54.118886 3.098894 42.78222 | | A3o 50000000 26938073 1989849 21072078 | 53.876146 3.979698 42.144156 | | Q9o 50000000 26929608 1499905 21570487 | 53.859216 2.99981 43.140974 | | K5s 50000000 26916729 1956810 21126461 | 53.833458 3.91362 42.252922 | | JTo 50000000 26906314 1421166 21672520 | 53.812628 2.842332 43.34504 | | K7o 50000000 26711644 1771240 21517116 | 53.423288 3.54248 43.034232 | | A2o 50000000 26470368 1981742 21547890 | 52.940736 3.963484 43.09578 | | K4s 50000000 26442417 1995683 21561900 | 52.884834 3.991366 43.1238 | | 33 50000000 26420079 853319 22726602 | 52.840158 1.706638 45.453204 | | Q7s 50000000 26260975 1779469 21959556 | 52.52195 3.558938 43.919112 | | T9s 50000000 26191667 1649103 22159230 | 52.383334 3.298206 44.31846 | | J8s 50000000 26157096 1704314 22138590 | 52.314192 3.408628 44.27718 | | K6o 50000000 26146310 1925659 21928031 | 52.29262 3.851318 43.856062 | | K3s 50000000 26036770 1985110 21978120 | 52.07354 3.97022 43.95624 | | Q8o 50000000 25965653 1669075 22365272 | 51.931306 3.33815 44.730544 | | Q6s 50000000 25845873 1932817 22221310 | 51.691746 3.865634 44.44262 | | J9o 50000000 25815073 1612997 22571930 | 51.630146 3.225994 45.14386 | | K2s 50000000 25625386 1971145 22403469 | 51.250772 3.94229 44.806938 | | K5o 50000000 25623290 2059979 22316731 | 51.24658 4.119958 44.633462 | | Q5s 50000000 25355010 2054691 22590299 | 50.71002 4.109382 45.180598 | | T8s 50000000 25258200 1823399 22918401 | 50.5164 3.646798 45.836802 | | J7s 50000000 25223442 1870189 22906369 | 50.446884 3.740378 45.812738 | | K4o 50000000 25107148 2100751 22792101 | 50.214296 4.201502 45.584202 | | Q7o 50000000 24953182 1862321 23184497 | 49.906364 3.724642 46.368994 | | T9o 50000000 24904003 1718934 23377063 | 49.808006 3.437868 46.754126 | | Q4s 50000000 24884738 2092863 23022399 | 49.769476 4.185726 46.044798 | | J8o 50000000 24861452 1775034 23363514 | 49.722904 3.550068 46.727028 | | 22 50000000 24691541 948507 24359952 | 49.383082 1.897014 48.719904 | | K3o 50000000 24664882 2093658 23241460 | 49.329764 4.187316 46.48292 | | Q6o 50000000 24499747 2025169 23475084 | 48.999494 4.050338 46.950168 | | Q3s 50000000 24469892 2080122 23449986 | 48.939784 4.160244 46.899972 | | 98s 50000000 24424561 1944031 23631408 | 48.849122 3.888062 47.262816 | | T7s 50000000 24321754 1989197 23689049 | 48.643508 3.978394 47.378098 | | J6s 50000000 24289891 2032279 23677830 | 48.579782 4.064558 47.35566 | | K2o 50000000 24213756 2084238 23702006 | 48.427512 4.168476 47.404012 | | Q2s 50000000 24051029 2067043 23881928 | 48.102058 4.134086 47.763856 | | Q5o 50000000 23980151 2163336 23856513 | 47.960302 4.326672 47.713026 | | J5s 50000000 23912051 2166104 23921845 | 47.824102 4.332208 47.84369 | | T8o 50000000 23909818 1904845 24185337 | 47.819636 3.80969 48.370674 | | J7o 50000000 23865368 1955875 24178757 | 47.730736 3.91175 48.357514 | | 97s 50000000 23485387 2130585 24384028 | 46.970774 4.26117 48.768056 | | Q4o 50000000 23463042 2204026 24332932 | 46.926084 4.408052 48.665864 | | J4s 50000000 23432684 2203956 24363360 | 46.865368 4.407912 48.72672 | | T6s 50000000 23397342 2140620 24462038 | 46.794684 4.28124 48.924076 | | 98o 50000000 23037615 2027879 24934506 | 46.07523 4.055758 49.869012 | | Q3o 50000000 23016430 2194008 24789562 | 46.03286 4.388016 49.579124 | | J3s 50000000 23016170 2189692 24794138 | 46.03234 4.379384 49.588276 | | T7o 50000000 22916670 2077699 25005631 | 45.83334 4.155398 50.011262 | | J6o 50000000 22855697 2130653 25013650 | 45.711394 4.261306 50.0273 | | 87s 50000000 22839711 2251154 24909135 | 45.679422 4.502308 49.81827 | | J2s 50000000 22606842 2173077 25220081 | 45.213684 4.346154 50.440162 | | 96s 50000000 22578514 2276937 25144549 | 45.157028 4.553874 50.289098 | | Q2o 50000000 22560689 2187275 25252036 | 45.121378 4.37455 50.504072 | | T5s 50000000 22471512 2276931 25251557 | 44.943024 4.553862 50.503114 | | J5o 50000000 22445393 2276062 25278545 | 44.890786 4.552124 50.55709 | | T4s 50000000 22111466 2325475 25563059 | 44.222932 4.65095 51.126118 | | 97o 50000000 22029683 2225420 25744897 | 44.059366 4.45084 51.489794 | | J4o 50000000 21930048 2318902 25751050 | 43.860096 4.637804 51.5021 | | T6o 50000000 21925377 2242965 25831658 | 43.850754 4.48593 51.663316 | | 86s 50000000 21905735 2424883 25669382 | 43.81147 4.849766 51.338764 | | T3s 50000000 21689065 2313047 25997888 | 43.37813 4.626094 51.995776 | | 95s 50000000 21666688 2410315 25922997 | 43.333376 4.82063 51.845994 | | J3o 50000000 21478193 2308976 26212831 | 42.956386 4.617952 52.425662 | | 76s 50000000 21415700 2542327 26041973 | 42.8314 5.084654 52.083946 | | 87o 50000000 21347883 2357665 26294452 | 42.695766 4.71533 52.588904 | | T2s 50000000 21269197 2298618 26432185 | 42.538394 4.597236 52.86437 | | 96o 50000000 21053866 2389108 26557026 | 42.107732 4.778216 53.114052 | | J2o 50000000 21025904 2298152 26675944 | 42.051808 4.596304 53.351888 | | 85s 50000000 20986379 2553453 26460168 | 41.972758 5.106906 52.920336 | | T5o 50000000 20928072 2393771 26678157 | 41.856144 4.787542 53.356314 | | 94s 50000000 20697495 2456223 26846282 | 41.39499 4.912446 53.692564 | | T4o 50000000 20528535 2448337 27023128 | 41.05707 4.896674 54.046256 | | 75s 50000000 20490583 2697703 26811714 | 40.981166 5.395406 53.623428 | | 93s 50000000 20402479 2456266 27141255 | 40.804958 4.912532 54.28251 | | 86o 50000000 20348643 2546015 27105342 | 40.697286 5.09203 54.210684 | | 65s 50000000 20172875 2783632 27043493 | 40.34575 5.567264 54.086986 | | T3o 50000000 20086175 2438324 27475501 | 40.17235 4.876648 54.951002 | | 95o 50000000 20063307 2533260 27403433 | 40.126614 5.06652 54.806866 | | 84s 50000000 20052065 2597830 27350105 | 40.10413 5.19566 54.70021 | | 92s 50000000 19986523 2441372 27572105 | 39.973046 4.882744 55.14421 | | 76o 50000000 19826558 2666570 27506872 | 39.653116 5.33314 55.013744 | | T2o 50000000 19620282 2429115 27950603 | 39.240564 4.85823 55.901206 | | 74s 50000000 19553127 2739138 27707735 | 39.106254 5.478276 55.41547 | | 85o 50000000 19372315 2684079 27943606 | 38.74463 5.368158 55.887212 | | 54s 50000000 19265578 2923563 27810859 | 38.531156 5.847126 55.621718 | | 64s 50000000 19242455 2851540 27906005 | 38.48491 5.70308 55.81201 | | 83s 50000000 19140578 2591225 28268197 | 38.281156 5.18245 56.536394 | | 94o 50000000 19044028 2585387 28370585 | 38.088056 5.170774 56.74117 | | 75o 50000000 18841986 2837340 28320674 | 37.683972 5.67468 56.641348 | | 82s 50000000 18833970 2593029 28573001 | 37.66794 5.186058 57.146002 | | 93o 50000000 18711292 2592785 28695923 | 37.422584 5.18557 57.391846 | | 73s 50000000 18652747 2731424 28615829 | 37.305494 5.462848 57.231658 | | 65o 50000000 18506129 2931355 28562516 | 37.012258 5.86271 57.125032 | | 53s 50000000 18378610 2932135 28689255 | 36.75722 5.86427 57.37851 | | 84o 50000000 18352692 2735628 28911680 | 36.705384 5.471256 57.82336 | | 63s 50000000 18341481 2849194 28809325 | 36.682962 5.698388 57.61865 | | 92o 50000000 18257797 2580459 29161744 | 36.515594 5.160918 58.323488 | | 43s 50000000 17865457 2912824 29221719 | 35.730914 5.825648 58.443438 | | 74o 50000000 17830307 2888018 29281675 | 35.660614 5.776036 58.56335 | | 72s 50000000 17719855 2718525 29561620 | 35.43971 5.43705 59.12324 | | 54o 50000000 17541370 3080583 29378047 | 35.08274 6.161166 58.756094 | | 64o 50000000 17507331 3005141 29487528 | 35.014662 6.010282 58.975056 | | 52s 50000000 17465780 2919482 29614738 | 34.93156 5.838964 59.229476 | | 62s 50000000 17422050 2828524 29749426 | 34.8441 5.657048 59.498852 | | 83o 50000000 17374512 2733632 29891856 | 34.749024 5.467264 59.783712 | | 82o 50000000 17047935 2739385 30212680 | 34.09587 5.47877 60.42536 | | 42s 50000000 16960825 2907987 30131188 | 33.92165 5.815974 60.262376 | | 73o 50000000 16855765 2882991 30261244 | 33.71153 5.765982 60.522488 | | 53o 50000000 16581674 3099477 30318849 | 33.163348 6.198954 60.637698 | | 32s 50000000 16550277 2891856 30557867 | 33.100554 5.783712 61.115734 | | 63o 50000000 16538617 3006333 30455050 | 33.077234 6.012666 60.9101 | | 43o 50000000 16036292 3078421 30885287 | 32.072584 6.156842 61.770574 | | 72o 50000000 15858627 2871022 31270351 | 31.717254 5.742044 62.540702 | | 52o 50000000 15601627 3090662 31307711 | 31.203254 6.181324 62.615422 | | 62o 50000000 15543944 2995443 31460613 | 31.087888 5.990886 62.921226 | | 42o 50000000 15060317 3084039 31855644 | 30.120634 6.168078 63.711288 | | 32o 50000000 14624018 3063323 32312659 | 29.248036 6.126646 64.625318 | +----------------------------------------------+---------------------------------+