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non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
three of a kind 3 192 0.31% 1 : 322
two pairs 3 432 0.70% 1 : 143
one pair 40 15,360 24.75% 1 : 3.04
high card 45 45,900 73.96% 2.84 : 1
total 136 62,064 100 %



note: in the table below, a flush (or straight flush or royal flush) can by definition only occur if all five cards are of the same suit.
therefore, the "s" next to hole cards means that the hole cards are suited AND all three flop cards are of that suit, too.


ranking of all 136 distinct hole cards
hole cards hand category combinations probability odds equity
nuts QJs AKQJ2 flush 4 0.01% 1 : 15515 100.00%
2 QTs AKQT2 flush 4 0.01% 1 : 15515 99.99%
3 Q9s AKQ92 flush 4 0.01% 1 : 15515 99.99%
4 Q8s AKQ82 flush 4 0.01% 1 : 15515 99.98%
5 Q7s AKQ72 flush 4 0.01% 1 : 15515 99.97%
6 Q6s AKQ62 flush 4 0.01% 1 : 15515 99.97%
7 Q5s AKQ52 flush 4 0.01% 1 : 15515 99.96%
8 Q4s AKQ42 flush 4 0.01% 1 : 15515 99.95%
9 Q3s AKQ32 flush 4 0.01% 1 : 15515 99.95%
10 JTs AKJT2 flush 4 0.01% 1 : 15515 99.94%
11 J9s AKJ92 flush 4 0.01% 1 : 15515 99.94%
12 J8s AKJ82 flush 4 0.01% 1 : 15515 99.93%
13 J7s AKJ72 flush 4 0.01% 1 : 15515 99.92%
14 J6s AKJ62 flush 4 0.01% 1 : 15515 99.92%
15 J5s AKJ52 flush 4 0.01% 1 : 15515 99.91%
16 J4s AKJ42 flush 4 0.01% 1 : 15515 99.90%
17 J3s AKJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s AKT92 flush 4 0.01% 1 : 15515 99.89%
19 T8s AKT82 flush 4 0.01% 1 : 15515 99.88%
20 T7s AKT72 flush 4 0.01% 1 : 15515 99.88%
21 T6s AKT62 flush 4 0.01% 1 : 15515 99.87%
22 T5s AKT52 flush 4 0.01% 1 : 15515 99.86%
23 T4s AKT42 flush 4 0.01% 1 : 15515 99.86%
24 T3s AKT32 flush 4 0.01% 1 : 15515 99.85%
25 98s AK982 flush 4 0.01% 1 : 15515 99.85%
26 97s AK972 flush 4 0.01% 1 : 15515 99.84%
27 96s AK962 flush 4 0.01% 1 : 15515 99.83%
28 95s AK952 flush 4 0.01% 1 : 15515 99.83%
29 94s AK942 flush 4 0.01% 1 : 15515 99.82%
30 93s AK932 flush 4 0.01% 1 : 15515 99.81%
31 87s AK872 flush 4 0.01% 1 : 15515 99.81%
32 86s AK862 flush 4 0.01% 1 : 15515 99.80%
33 85s AK852 flush 4 0.01% 1 : 15515 99.79%
34 84s AK842 flush 4 0.01% 1 : 15515 99.79%
35 83s AK832 flush 4 0.01% 1 : 15515 99.78%
36 76s AK762 flush 4 0.01% 1 : 15515 99.77%
37 75s AK752 flush 4 0.01% 1 : 15515 99.77%
38 74s AK742 flush 4 0.01% 1 : 15515 99.76%
39 73s AK732 flush 4 0.01% 1 : 15515 99.76%
40 65s AK652 flush 4 0.01% 1 : 15515 99.75%
41 64s AK642 flush 4 0.01% 1 : 15515 99.74%
42 63s AK632 flush 4 0.01% 1 : 15515 99.74%
43 54s AK542 flush 4 0.01% 1 : 15515 99.73%
44 53s AK532 flush 4 0.01% 1 : 15515 99.72%
45 43s AK432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAK2 three of a kind 64 0.10% 1 : 969 99.71%
47 KK AKKK2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 AK222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AK AAKK2 two pairs 144 0.23% 1 : 430 99.40%
50 A2 AAK22 two pairs 144 0.23% 1 : 430 99.17%
51 K2 AKK22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AQ AAKQ2 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAKJ2 one pair 384 0.62% 1 : 161 98.09%
54 AT AAKT2 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAK92 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAK82 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAK72 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAK62 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAK52 one pair 384 0.62% 1 : 161 94.37%
60 A4 AAK42 one pair 384 0.62% 1 : 161 93.75%
61 A3 AAK32 one pair 384 0.62% 1 : 161 93.14%
62 KQ AKKQ2 one pair 384 0.62% 1 : 161 92.52%
63 KJ AKKJ2 one pair 384 0.62% 1 : 161 91.90%
64 KT AKKT2 one pair 384 0.62% 1 : 161 91.28%
65 K9 AKK92 one pair 384 0.62% 1 : 161 90.66%
66 K8 AKK82 one pair 384 0.62% 1 : 161 90.04%
67 K7 AKK72 one pair 384 0.62% 1 : 161 89.42%
68 K6 AKK62 one pair 384 0.62% 1 : 161 88.81%
69 K5 AKK52 one pair 384 0.62% 1 : 161 88.19%
70 K4 AKK42 one pair 384 0.62% 1 : 161 87.57%
71 K3 AKK32 one pair 384 0.62% 1 : 161 86.95%
72 QQ AKQQ2 one pair 384 0.62% 1 : 161 86.33%
73 JJ AKJJ2 one pair 384 0.62% 1 : 161 85.71%
74 TT AKTT2 one pair 384 0.62% 1 : 161 85.09%
75 99 AK992 one pair 384 0.62% 1 : 161 84.47%
76 88 AK882 one pair 384 0.62% 1 : 161 83.86%
77 77 AK772 one pair 384 0.62% 1 : 161 83.24%
78 66 AK662 one pair 384 0.62% 1 : 161 82.62%
79 55 AK552 one pair 384 0.62% 1 : 161 82.00%
80 44 AK442 one pair 384 0.62% 1 : 161 81.38%
81 33 AK332 one pair 384 0.62% 1 : 161 80.76%
82 Q2 AKQ22 one pair 384 0.62% 1 : 161 80.14%
83 J2 AKJ22 one pair 384 0.62% 1 : 161 79.52%
84 T2 AKT22 one pair 384 0.62% 1 : 161 78.91%
85 92 AK922 one pair 384 0.62% 1 : 161 78.29%
86 82 AK822 one pair 384 0.62% 1 : 161 77.67%
87 72 AK722 one pair 384 0.62% 1 : 161 77.05%
88 62 AK622 one pair 384 0.62% 1 : 161 76.43%
89 52 AK522 one pair 384 0.62% 1 : 161 75.81%
90 42 AK422 one pair 384 0.62% 1 : 161 75.19%
91 32 AK322 one pair 384 0.62% 1 : 161 74.57%
 
92 QJ AKQJ2 high card 1,020 1.64% 1 : 59.8 73.96%
93 QT AKQT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q9 AKQ92 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q8 AKQ82 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q7 AKQ72 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q6 AKQ62 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q5 AKQ52 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q4 AKQ42 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q3 AKQ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AKJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AKJ92 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AKJ82 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AKJ72 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 AKJ62 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 AKJ52 high card 1,020 1.64% 1 : 59.8 50.95%
107 J4 AKJ42 high card 1,020 1.64% 1 : 59.8 49.30%
108 J3 AKJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AKT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AKT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AKT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AKT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AKT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 AKT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 T3 AKT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AK982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AK972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AK962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AK952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 AK942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 AK932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AK872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AK862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AK852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 AK842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 AK832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AK762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AK752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 AK742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 AK732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AK652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 AK642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 AK632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 AK542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 AK532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 AK432 high card 1,020 1.64% 1 : 59.8 1.64%