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Texas Holdem Heads-Up Preflop Odds

This table was created by enumerating through every possible board and opponent hole card combination for each of the 169 texas holdem preflop starting hands. The numbers are exact to the rounding I used, which was to chop off the space and bandwidth consuming digits without rounding (i.e. 84.93 for AAo meanas somewhere between 84.93 and 84.94, the exact probability of winning with AAo is 890,754,209/1,048,786,200, about .84931915484777).


Rank Name EV Win % Tie % Occurance Cummulative
1 AAo 0.7 84.93 0.54 0.45 0.45
2 KKo 0.64 82.11 0.55 0.45 0.9
3 QQo 0.59 79.63 0.58 0.45 1.35
4 JJo 0.54 77.15 0.63 0.45 1.8
5 TTo 0.5 74.66 0.7 0.45 2.26
6 99o 0.44 71.66 0.78 0.45 2.71
7 88o 0.38 68.71 0.89 0.45 3.16
8 AKs 0.34 66.21 1.65 0.3 3.46
9 77o 0.32 65.72 1.02 0.45 3.92
10 AQs 0.32 65.31 1.79 0.3 4.22
11 AJs 0.3 64.39 1.99 0.3 4.52
12 AKo 0.3 64.46 1.7 0.9 5.42
13 ATs 0.29 63.48 2.22 0.3 5.73
14 AQo 0.28 63.5 1.84 0.9 6.63
15 AJo 0.27 62.53 2.05 0.9 7.54
16 KQs 0.26 62.4 1.98 0.3 7.84
17 66o 0.26 62.7 1.16 0.45 8.29
18 A9s 0.25 61.5 2.54 0.3 8.59
19 ATo 0.25 61.56 2.3 0.9 9.5
20 KJs 0.25 61.47 2.18 0.3 9.8
21 A8s 0.23 60.5 2.87 0.3 10.1
22 KTs 0.23 60.58 2.4 0.3 10.4
23 KQo 0.22 60.43 2.04 0.9 11.31
24 A7s 0.21 59.38 3.19 0.3 11.61
25 A9o 0.21 59.44 2.64 0.9 12.51
26 KJo 0.21 59.44 2.25 0.9 13.42
27 55o 0.2 59.64 1.36 0.45 13.87
28 QJs 0.2 59.07 2.37 0.3 14.17
29 K9s 0.19 58.63 2.7 0.3 14.47
30 A5s 0.19 58.06 3.71 0.3 14.78
31 A6s 0.19 58.17 3.45 0.3 15.08
32 A8o 0.19 58.37 2.99 0.9 15.98
33 KTo 0.19 58.49 2.48 0.9 16.89
34 QTs 0.18 58.17 2.59 0.3 17.19
35 A4s 0.18 57.13 3.79 0.3 17.49
36 A7o 0.17 57.16 3.34 0.9 18.4
37 K8s 0.16 56.79 3.04 0.3 18.7
38 A3s 0.16 56.33 3.77 0.3 19.0
39 QJo 0.16 56.9 2.45 0.9 19.9
40 K9o 0.15 56.4 2.8 0.9 20.81
41 A5o 0.15 55.74 3.9 0.9 21.71
42 A6o 0.15 55.87 3.62 0.9 22.62
43 Q9s 0.15 56.22 2.88 0.3 22.92
44 K7s 0.15 55.84 3.38 0.3 23.22
45 JTs 0.15 56.15 2.74 0.3 23.52
46 A2s 0.14 55.5 3.74 0.3 23.83
47 QTo 0.14 55.94 2.68 0.9 24.73
48 44o 0.14 56.25 1.53 0.45 25.18
49 A4o 0.13 54.73 3.99 0.9 26.09
50 K6s 0.13 54.8 3.67 0.3 26.39
51 K8o 0.12 54.43 3.17 0.9 27.3
52 Q8s 0.12 54.41 3.2 0.3 27.6
53 A3o 0.11 53.85 3.97 0.9 28.5
54 K5s 0.11 53.83 3.91 0.3 28.8
55 J9s 0.11 54.11 3.1 0.3 29.11
56 Q9o 0.1 53.86 2.99 0.9 30.01
57 JTo 0.1 53.82 2.84 0.9 30.92
58 K7o 0.1 53.41 3.54 0.9 31.82
59 A2o 0.09 52.94 3.96 0.9 32.73
60 K4s 0.09 52.88 3.99 0.3 33.03
61 Q7s 0.08 52.52 3.55 0.3 33.33
62 K6o 0.08 52.29 3.85 0.9 34.23
63 K3s 0.08 52.07 3.96 0.3 34.53
64 T9s 0.08 52.37 3.3 0.3 34.84
65 J8s 0.08 52.31 3.4 0.3 35.14
66 33o 0.07 52.83 1.7 0.45 35.59
67 Q6s 0.07 51.67 3.86 0.3 35.89
68 Q8o 0.07 51.93 3.33 0.9 36.8
69 K5o 0.06 51.25 4.12 0.9 37.7
70 J9o 0.06 51.63 3.22 0.9 38.61
71 K2s 0.06 51.23 3.94 0.3 38.91
72 Q5s 0.05 50.71 4.11 0.3 39.21
73 T8s 0.04 50.5 3.65 0.3 39.51
74 K4o 0.04 50.22 4.2 0.9 40.42
75 J7s 0.04 50.45 3.74 0.3 40.72
76 Q4s 0.03 49.76 4.18 0.3 41.02
77 Q7o 0.03 49.9 3.72 0.9 41.93
78 T9o 0.03 49.81 3.43 0.9 42.83
79 J8o 0.02 49.71 3.55 0.9 43.74
80 K3o 0.02 49.33 4.18 0.9 44.64
81 Q6o 0.02 48.99 4.05 0.9 45.55
82 Q3s 0.02 48.93 4.16 0.3 45.85
83 98s 0.01 48.85 3.88 0.3 46.15
84 T7s 0.01 48.65 3.97 0.3 46.45
85 J6s 0.01 48.57 4.06 0.3 46.75
86 K2o 0.01 48.42 4.17 0.9 47.66
87 22o 0.0 49.38 1.89 0.45 48.11
88 Q2s 0.0 48.1 4.13 0.3 48.41
89 Q5o 0.0 47.95 4.32 0.9 49.32
90 J5s 0.0 47.82 4.33 0.3 49.62
91 T8o 0.0 47.81 3.8 0.9 50.52
92 J7o 0.0 47.72 3.91 0.9 51.43
93 Q4o -0.01 46.92 4.4 0.9 52.33
94 97s -0.01 46.99 4.25 0.3 52.63
95 J4s -0.01 46.86 4.4 0.3 52.94
96 T6s -0.02 46.8 4.28 0.3 53.24
97 J3s -0.03 46.04 4.37 0.3 53.54
98 Q3o -0.03 46.02 4.38 0.9 54.44
99 98o -0.03 46.06 4.05 0.9 55.35
100 87s -0.04 45.68 4.5 0.3 55.65
101 T7o -0.04 45.82 4.15 0.9 56.56
102 J6o -0.04 45.71 4.26 0.9 57.46
103 96s -0.05 45.15 4.55 0.3 57.76
104 J2s -0.05 45.2 4.35 0.3 58.06
105 Q2o -0.05 45.1 4.37 0.9 58.97
106 T5s -0.05 44.93 4.55 0.3 59.27
107 J5o -0.05 44.9 4.55 0.9 60.18
108 T4s -0.06 44.2 4.65 0.3 60.48
109 97o -0.07 44.07 4.45 0.9 61.38
110 86s -0.07 43.81 4.84 0.3 61.68
111 J4o -0.07 43.86 4.63 0.9 62.59
112 T6o -0.07 43.84 4.48 0.9 63.49
113 95s -0.08 43.31 4.81 0.3 63.8
114 T3s -0.08 43.37 4.62 0.3 64.1
115 76s -0.09 42.82 5.08 0.3 64.4
116 J3o -0.09 42.96 4.61 0.9 65.3
117 87o -0.09 42.69 4.71 0.9 66.21
118 T2s -0.1 42.54 4.59 0.3 66.51
119 85s -0.1 41.99 5.1 0.3 66.81
120 96o -0.11 42.1 4.77 0.9 67.72
121 J2o -0.11 42.04 4.59 0.9 68.62
122 T5o -0.11 41.85 4.78 0.9 69.53
123 94s -0.12 41.4 4.9 0.3 69.83
124 75s -0.12 40.97 5.39 0.3 70.13
125 T4o -0.12 41.05 4.89 0.9 71.04
126 93s -0.13 40.8 4.91 0.3 71.34
127 86o -0.13 40.69 5.08 0.9 72.24
128 65s -0.13 40.34 5.57 0.3 72.54
129 84s -0.14 40.1 5.19 0.3 72.85
130 95o -0.14 40.13 5.06 0.9 73.75
131 T3o -0.14 40.15 4.87 0.9 74.66
132 92s -0.15 39.97 4.88 0.3 74.96
133 76o -0.15 39.65 5.33 0.9 75.86
134 74s -0.16 39.1 5.48 0.3 76.16
135 T2o -0.16 39.23 4.85 0.9 77.07
136 54s -0.17 38.53 5.84 0.3 77.37
137 85o -0.17 38.74 5.37 0.9 78.28
138 64s -0.17 38.48 5.7 0.3 78.58
139 83s -0.18 38.28 5.18 0.3 78.88
140 94o -0.18 38.08 5.17 0.9 79.78
141 75o -0.18 37.67 5.67 0.9 80.69
142 82s -0.19 37.67 5.18 0.3 80.99
143 73s -0.19 37.3 5.46 0.3 81.29
144 93o -0.19 37.42 5.18 0.9 82.2
145 65o -0.2 37.01 5.86 0.9 83.1
146 53s -0.2 36.75 5.86 0.3 83.4
147 63s -0.2 36.68 5.69 0.3 83.71
148 84o -0.21 36.7 5.47 0.9 84.61
149 92o -0.21 36.51 5.16 0.9 85.52
150 43s -0.22 35.72 5.82 0.3 85.82
151 74o -0.22 35.66 5.77 0.9 86.72
152 72s -0.23 35.43 5.43 0.3 87.02
153 54o -0.23 35.07 6.16 0.9 87.93
154 64o -0.23 35.0 6.01 0.9 88.83
155 52s -0.24 34.92 5.83 0.3 89.14
156 62s -0.24 34.83 5.66 0.3 89.44
157 83o -0.25 34.74 5.46 0.9 90.34
158 42s -0.26 33.91 5.82 0.3 90.64
159 82o -0.26 34.08 5.48 0.9 91.55
160 73o -0.26 33.71 5.76 0.9 92.45
161 53o -0.27 33.16 6.19 0.9 93.36
162 63o -0.27 33.06 6.01 0.9 94.26
163 32s -0.28 33.09 5.78 0.3 94.57
164 43o -0.29 32.06 6.15 0.9 95.47
165 72o -0.3 31.71 5.74 0.9 96.38
166 52o -0.31 31.19 6.18 0.9 97.28
167 62o -0.31 31.07 5.99 0.9 98.19
168 42o -0.33 30.11 6.16 0.9 99.09
169 32o -0.35 29.23 6.12 0.9 100

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