In honor of the upcoming
Chowaha World Championship, and for those of you with the steely nerves and deep-pocketed stake horses for such ventures, here is an attempt to rank the 169 Chowaha hands.
This is a ProPokerTools style analysis developed from a survival sim.
PPT sims described here:
http://pokercoder.blogspot.com/2006/...-of-hands.html
Derived from this paper:
http://webdocs.cs.ualberta.ca/~darse/Papers/AIJ02.pdf
Sims are for eight-handed casino-style Chowaha: High only; must play both of two cards.
Chowaha boards explained here:
http://www.wolfspokerpage.com/chowaha/
Following is the rank of the hand, the hand, the Relative Net Win Potential (sort of like EV, put here for comparative purposes), running % total of all 2-card Chowaha hands, median hand made by hand, median winning hand made by hand.
[PHP]Rank RNWP % Tot Median Med Winner
1 AA 0.71911 0.005 2P AAKKQ 3K AAAK9
2 KK 0.60977 0.009 2P AAKKQ 3K KKKAJ
3 QQ 0.53154 0.014 2P AAQQK 3K QQQAK
4 JJ 0.46061 0.018 2P AAJJK 3K JJJAK
5 TT 0.39650 0.023 2P AATTK FH 333TT
6 AKs 0.34780 0.026 2P AAKK9 3K AAAKQ
7 99 0.33904 0.030 2P AA99K FH 55599
8 AQs 0.31200 0.033 2P AAQQT S AKQJT
9 AJs 0.28968 0.036 2P AAJJQ S AKQJT
10 88 0.28523 0.041 2P AA88K FH 66688
11 KQs 0.27819 0.044 2P KKQQA S AKQJT
12 JTs 0.27566 0.047 3K TTTKJ S KQJT9
13 QJs 0.26582 0.050 3K 444QJ S KQJT9
14 ATs 0.26430 0.053 2P AATTQ S AKQJT
15 KJs 0.25766 0.056 2P KKQQJ S AKQJT
16 QTs 0.24953 0.059 3K 444QT S AKQJT
17 77 0.23874 0.063 2P AA77K FH 77722
18 KTs 0.23705 0.066 2P KKQQT S AKQJT
19 T9s 0.22141 0.069 3K 999KT S QJT98
20 66 0.19672 0.074 2P AA66Q FH 66633
21 J9s 0.17641 0.077 3K 444J9 S KQJT9
22 98s 0.16969 0.080 3K 888A9 S QJT98
23 A5s 0.16098 0.083 2P AA995 S 5432A
24 55 0.15996 0.087 2P AA55K FH 55533
25 A4s 0.14856 0.090 2P AA994 S 5432A
26 A9s 0.14459 0.094 2P AA99T 3K AAAT9
27 Q9s 0.14077 0.097 2P AA99Q S KQJT9
28 87s 0.13446 0.100 3K 777A8 S JT987
29 T8s 0.13126 0.103 3K 444T8 S QJT98
30 A3s 0.13006 0.106 2P AA993 S 5432A
31 A8s 0.12868 0.109 2P AA88J 3K AAAJ8
32 K9s 0.12713 0.112 2P KKTT9 S KQJT9
33 44 0.12213 0.116 2P AA44K FH 44455
34 A2s 0.11489 0.119 2P AA992 S 5432A
35 A7s 0.11398 0.122 2P AA77Q 3K AAAJ7
36 76s 0.10264 0.125 3K 77786 S T9876
37 A6s 0.09572 0.128 2P AA66K 3K AAAQ6
38 97s 0.09180 0.131 3K 44497 S JT987
39 33 0.08895 0.136 2P AA33K FH 33355
40 J8s 0.08253 0.139 2P AA88J S QJT98
41 65s 0.08198 0.142 3K 666T5 S 98765
42 54s 0.06303 0.145 3K 555J4 S 87654
43 86s 0.05682 0.148 3K 44486 S T9876
44 22 0.05644 0.152 2P AA22K FH 22266
45 Q8s 0.05424 0.155 2P QQJJ8 S QJT98
46 T7s 0.04032 0.158 2P AA77T S JT987
47 AKo 0.03676 0.167 2P AA55K 2P AAKKQ
48 75s 0.02681 0.170 3K 44475 S 98765
49 JTo 0.02537 0.179 2P KKTTJ S JT987
50 K8s 0.02082 0.183 2P KK88Q 3K KKKA8
51 64s 0.00624 0.186 3K 444T6 S 87654
52 K7s 0.00532 0.189 2P KK77A 3K KKKA7
53 96s 0.00354 0.192 2P AA669 S T9876
54 QJo -0.00006 0.201 2P QQJJT 3K QQQAJ
55 KQo -0.00134 0.210 2P KKTTQ 3K QQQKT
56 AQo -0.00401 0.219 2P AA55Q 2P AAQQK
57 K6s -0.00974 0.222 2P KK66A 3K KKKA6
58 J7s -0.01077 0.225 2P QQJJ7 S JT987
59 53s -0.01530 0.228 3K 333J5 S 76543
60 K5s -0.01876 0.231 2P KK665 3K AAAK5
61 QTo -0.01895 0.240 2P QQTTK S QJT98
62 AJo -0.02501 0.249 2P AA55J 2P AAKKJ
63 K4s -0.02517 0.252 2P KK664 F K6543
64 85s -0.02590 0.255 2P AA558 S 98765
65 KJo -0.02672 0.264 2P KKTTJ 3K JJJKQ
66 43s -0.03001 0.267 3K 333J4 S 76543
67 T9o -0.03374 0.276 2P KK99T S T9876
68 K3s -0.03996 0.279 2P KK663 F K7532
69 K2s -0.04750 0.282 2P KK662 F K7642
70 T6s -0.04950 0.285 2P QQTT6 S T9876
71 KTo -0.05019 0.294 2P KKTT5 3K TTTAK
72 74s -0.05416 0.297 2P AA447 S 87654
73 ATo -0.05437 0.306 2P AA55T 2P AAKKT
74 Q7s -0.05574 0.309 2P QQ77A F Q7543
75 Q6s -0.06489 0.312 2P QQ776 F Q7642
76 63s -0.07483 0.315 2P AA336 S 76543
77 Q5s -0.07714 0.318 2P QQ775 F Q7654
78 95s -0.08310 0.321 2P QQ995 F 96543
79 Q4s -0.08992 0.324 2P QQ774 F Q8543
80 98o -0.09161 0.333 2P KK889 S 98765
81 Q3s -0.10020 0.336 2P QQ773 F Q8653
82 52s -0.10059 0.339 2P KK552 F 85432
83 J9o -0.10264 0.348 2P JJ99A S JT987
84 Q2s -0.10541 0.351 2P QQ772 F Q8742
85 42s -0.11072 0.354 2P KK442 F 86542
86 84s -0.11200 0.357 2P QQ884 F 98543
87 J6s -0.11584 0.360 2P JJ886 F J8652
88 32s -0.12405 0.363 2P KK332 F 96432
89 J5s -0.12408 0.367 2P JJ885 F J8752
90 87o -0.12963 0.376 2P KK778 S 98765
91 J4s -0.13749 0.379 2P JJ884 F J8764
92 73s -0.14003 0.382 2P QQ773 F 98753
93 T8o -0.14391 0.391 2P JJTT8 S T9876
94 J3s -0.14551 0.394 2P JJ883 F J9543
95 Q9o -0.14813 0.403 2P QQ99T 3K QQQ97
96 J2s -0.15538 0.406 2P JJ882 F J9642
97 T5s -0.16026 0.409 2P TT995 F T9653
98 76o -0.16330 0.418 2P KK667 S 87654
99 62s -0.16353 0.421 2P QQ662 F T7642
100 T4s -0.17053 0.424 2P TT994 F T9743
101 T3s -0.18047 0.427 2P TT993 F T9832
102 A5o -0.18547 0.436 2P AA559 3K 333A5
103 65o -0.18761 0.445 2P KK556 S 76543
104 T2s -0.18768 0.448 2P TT992 F T9852
105 K9o -0.18993 0.457 2P KK669 3K 555K9
106 97o -0.19026 0.466 2P JJ997 S 98765
107 94s -0.19913 0.469 2P TT994 F T9864
108 A9o -0.20269 0.478 2P QQ99A 2P AA99K
109 A4o -0.20271 0.487 2P AA44T 3K 444A7
110 54o -0.20440 0.496 2P KK445 S 65432
111 93s -0.20627 0.499 2P TT993 F J9432
112 J8o -0.21147 0.508 2P JJ88K 3K JJJQ8
113 92s -0.21351 0.511 2P TT992 F J9542
114 A3o -0.22230 0.520 2P AA33J 3K 333A9
115 86o -0.22367 0.529 2P JJ886 S 87654
116 A8o -0.22642 0.538 2P QQ88A 2P AA998
117 83s -0.23144 0.541 2P TT883 F J8653
118 82s -0.23785 0.544 2P TT882 F J8742
119 A2o -0.24435 0.554 2P AA22Q 3K 222AT
120 A7o -0.25056 0.563 2P QQ77A 2P AA997
121 75o -0.25287 0.572 2P JJ775 S 76543
122 T7o -0.25514 0.581 2P TT77A 3K TTTK7
123 72s -0.25830 0.584 2P TT772 F J9732
124 Q8o -0.26266 0.593 2P QQ778 3K 888QT
125 A6o -0.27140 0.602 2P QQ66A 2P AA996
126 64o -0.27760 0.611 2P JJ664 S 65432
127 96o -0.29241 0.620 2P 99886 3K 999A6
128 53o -0.29757 0.629 2P JJ553 S 5432A
129 43o -0.31474 0.638 2P JJ443 S 5432A
130 K8o -0.31973 0.647 2P QQ88K 2P KKTT8
131 85o -0.32434 0.656 2P TT558 S 87654
132 J7o -0.32486 0.665 2P JJ77T 3K 777KJ
133 K7o -0.34189 0.674 2P QQ77K 2P KKJJ7
134 K6o -0.35469 0.683 2P QQ66K 2P KKJJ6
135 74o -0.35609 0.692 2P TT447 S 76543
136 T6o -0.36982 0.701 2P TT66K 3K 666AT
137 K5o -0.37075 0.710 2P QQ55K 2P KKJJ5
138 63o -0.37830 0.719 2P TT336 S 65432
139 K4o -0.38571 0.729 2P QQ44K 2P KKJJ4
140 K3o -0.39762 0.738 2P QQ33K 2P KKJJ3
141 Q7o -0.40058 0.747 2P QQ337 2P KK77Q
142 52o -0.40072 0.756 2P TT225 S 5432A
143 95o -0.40282 0.765 2P 9955A 3K 66695
144 K2o -0.40901 0.774 2P QQ22K 2P KKJJ2
145 Q6o -0.41003 0.783 2P QQ336 2P KKQQ6
146 42o -0.41390 0.792 2P 99442 S 5432A
147 Q5o -0.42427 0.801 2P QQ335 2P KKQQ5
148 32o -0.42765 0.810 2P 99332 S 5432A
149 84o -0.43534 0.819 2P 88664 3K 888T4
150 Q4o -0.43658 0.828 2P QQ334 2P KKQQ4
151 Q3o -0.44929 0.837 2P QQ337 2P KKQQ3
152 J6o -0.45856 0.846 2P JJ446 2P KKJJ6
153 73o -0.46172 0.855 2P 88337 3K 777Q3
154 Q2o -0.46212 0.864 2P QQ229 2P KKQQ2
155 J5o -0.47074 0.873 2P JJ445 2P KKJJ5
156 J4o -0.48398 0.882 2P JJ446 2P KKJJ4
157 62o -0.48507 0.891 2P 88662 3K 666K2
158 J3o -0.49733 0.900 2P JJ339 2P AA33J
159 T5o -0.50339 0.910 2P TT557 2P AA55T
160 J2o -0.50657 0.919 2P JJ22Q 2P AA22J
161 T4o -0.51615 0.928 2P TT44J 2P AA44T
162 T3o -0.52985 0.937 2P TT33Q 2P AATT3
163 T2o -0.53937 0.946 2P TT22K 2P AATT2
164 94o -0.54378 0.955 2P 9944Q 2P AA994
165 93o -0.55527 0.964 2P 9933K 2P AA993
166 92o -0.56504 0.973 2P 9922A 2P AA992
167 83o -0.57983 0.982 2P 8833A 3K 33387
168 82o -0.58510 0.991 2P 8822A 3K 22298
169 72o -0.60571 1.000 2P 77332 3K 222T7
[/PHP]
So, if we look at number 53, we see that it is 96 suited, has the last positive win potential of .00354. It is in the top 19.2% of Chowaha hands. The median hand it makes is two pair--AA669. The median hand in wins with is a ten-high straight.
For those of you unfamiliar with my posts, it should be pointed out that I know nothing of math, nothing of statistics, nothing of logic of any type, nothing of computer programming, and, especially, nothing of poker.
Enjoy! Happy New Year!