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!
You may not have any _training_ in any of these things, but 'I know nothing' is a touch strong.