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 AJs AKQJ2 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKQT2 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKQ92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKQ82 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKQ72 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKQ62 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKQ52 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKQ42 flush 4 0.01% 1 : 15515 99.95%
9 A3s AKQ32 flush 4 0.01% 1 : 15515 99.95%
10 JTs KQJT2 flush 4 0.01% 1 : 15515 99.94%
11 J9s KQJ92 flush 4 0.01% 1 : 15515 99.94%
12 J8s KQJ82 flush 4 0.01% 1 : 15515 99.93%
13 J7s KQJ72 flush 4 0.01% 1 : 15515 99.92%
14 J6s KQJ62 flush 4 0.01% 1 : 15515 99.92%
15 J5s KQJ52 flush 4 0.01% 1 : 15515 99.91%
16 J4s KQJ42 flush 4 0.01% 1 : 15515 99.90%
17 J3s KQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s KQT92 flush 4 0.01% 1 : 15515 99.89%
19 T8s KQT82 flush 4 0.01% 1 : 15515 99.88%
20 T7s KQT72 flush 4 0.01% 1 : 15515 99.88%
21 T6s KQT62 flush 4 0.01% 1 : 15515 99.87%
22 T5s KQT52 flush 4 0.01% 1 : 15515 99.86%
23 T4s KQT42 flush 4 0.01% 1 : 15515 99.86%
24 T3s KQT32 flush 4 0.01% 1 : 15515 99.85%
25 98s KQ982 flush 4 0.01% 1 : 15515 99.85%
26 97s KQ972 flush 4 0.01% 1 : 15515 99.84%
27 96s KQ962 flush 4 0.01% 1 : 15515 99.83%
28 95s KQ952 flush 4 0.01% 1 : 15515 99.83%
29 94s KQ942 flush 4 0.01% 1 : 15515 99.82%
30 93s KQ932 flush 4 0.01% 1 : 15515 99.81%
31 87s KQ872 flush 4 0.01% 1 : 15515 99.81%
32 86s KQ862 flush 4 0.01% 1 : 15515 99.80%
33 85s KQ852 flush 4 0.01% 1 : 15515 99.79%
34 84s KQ842 flush 4 0.01% 1 : 15515 99.79%
35 83s KQ832 flush 4 0.01% 1 : 15515 99.78%
36 76s KQ762 flush 4 0.01% 1 : 15515 99.77%
37 75s KQ752 flush 4 0.01% 1 : 15515 99.77%
38 74s KQ742 flush 4 0.01% 1 : 15515 99.76%
39 73s KQ732 flush 4 0.01% 1 : 15515 99.76%
40 65s KQ652 flush 4 0.01% 1 : 15515 99.75%
41 64s KQ642 flush 4 0.01% 1 : 15515 99.74%
42 63s KQ632 flush 4 0.01% 1 : 15515 99.74%
43 54s KQ542 flush 4 0.01% 1 : 15515 99.73%
44 53s KQ532 flush 4 0.01% 1 : 15515 99.72%
45 43s KQ432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKQ2 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ KQQQ2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 KQ222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KQ KKQQ2 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KKQ22 two pairs 144 0.23% 1 : 430 99.17%
51 Q2 KQQ22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKQ2 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKQ2 one pair 384 0.62% 1 : 161 98.09%
54 KJ KKQJ2 one pair 384 0.62% 1 : 161 97.47%
55 KT KKQT2 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKQ92 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKQ82 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKQ72 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKQ62 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKQ52 one pair 384 0.62% 1 : 161 93.75%
61 K4 KKQ42 one pair 384 0.62% 1 : 161 93.14%
62 K3 KKQ32 one pair 384 0.62% 1 : 161 92.52%
63 AQ AKQQ2 one pair 384 0.62% 1 : 161 91.90%
64 QJ KQQJ2 one pair 384 0.62% 1 : 161 91.28%
65 QT KQQT2 one pair 384 0.62% 1 : 161 90.66%
66 Q9 KQQ92 one pair 384 0.62% 1 : 161 90.04%
67 Q8 KQQ82 one pair 384 0.62% 1 : 161 89.42%
68 Q7 KQQ72 one pair 384 0.62% 1 : 161 88.81%
69 Q6 KQQ62 one pair 384 0.62% 1 : 161 88.19%
70 Q5 KQQ52 one pair 384 0.62% 1 : 161 87.57%
71 Q4 KQQ42 one pair 384 0.62% 1 : 161 86.95%
72 Q3 KQQ32 one pair 384 0.62% 1 : 161 86.33%
73 JJ KQJJ2 one pair 384 0.62% 1 : 161 85.71%
74 TT KQTT2 one pair 384 0.62% 1 : 161 85.09%
75 99 KQ992 one pair 384 0.62% 1 : 161 84.47%
76 88 KQ882 one pair 384 0.62% 1 : 161 83.86%
77 77 KQ772 one pair 384 0.62% 1 : 161 83.24%
78 66 KQ662 one pair 384 0.62% 1 : 161 82.62%
79 55 KQ552 one pair 384 0.62% 1 : 161 82.00%
80 44 KQ442 one pair 384 0.62% 1 : 161 81.38%
81 33 KQ332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AKQ22 one pair 384 0.62% 1 : 161 80.14%
83 J2 KQJ22 one pair 384 0.62% 1 : 161 79.52%
84 T2 KQT22 one pair 384 0.62% 1 : 161 78.91%
85 92 KQ922 one pair 384 0.62% 1 : 161 78.29%
86 82 KQ822 one pair 384 0.62% 1 : 161 77.67%
87 72 KQ722 one pair 384 0.62% 1 : 161 77.05%
88 62 KQ622 one pair 384 0.62% 1 : 161 76.43%
89 52 KQ522 one pair 384 0.62% 1 : 161 75.81%
90 42 KQ422 one pair 384 0.62% 1 : 161 75.19%
91 32 KQ322 one pair 384 0.62% 1 : 161 74.57%
 
92 AJ AKQJ2 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKQT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKQ92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKQ82 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKQ72 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKQ62 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKQ52 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKQ42 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AKQ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT KQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 KQJ92 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 KQJ82 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 KQJ72 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 KQJ62 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 KQJ52 high card 1,020 1.64% 1 : 59.8 50.95%
107 J4 KQJ42 high card 1,020 1.64% 1 : 59.8 49.30%
108 J3 KQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KQT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KQT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KQT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 KQT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 KQT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 KQT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 T3 KQT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KQ982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KQ972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KQ962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KQ952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 KQ942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 KQ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KQ872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KQ862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KQ852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 KQ842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 KQ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KQ762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KQ752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 KQ742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 KQ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KQ652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 KQ642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 KQ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 KQ542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 KQ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 KQ432 high card 1,020 1.64% 1 : 59.8 1.64%