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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 KJs AKQJ2 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKQT2 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKQ92 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKQ82 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKQ72 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKQ62 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKQ52 flush 4 0.01% 1 : 15515 99.96%
8 K4s AKQ42 flush 4 0.01% 1 : 15515 99.95%
9 K3s AKQ32 flush 4 0.01% 1 : 15515 99.95%
10 JTs AQJT2 flush 4 0.01% 1 : 15515 99.94%
11 J9s AQJ92 flush 4 0.01% 1 : 15515 99.94%
12 J8s AQJ82 flush 4 0.01% 1 : 15515 99.93%
13 J7s AQJ72 flush 4 0.01% 1 : 15515 99.92%
14 J6s AQJ62 flush 4 0.01% 1 : 15515 99.92%
15 J5s AQJ52 flush 4 0.01% 1 : 15515 99.91%
16 J4s AQJ42 flush 4 0.01% 1 : 15515 99.90%
17 J3s AQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s AQT92 flush 4 0.01% 1 : 15515 99.89%
19 T8s AQT82 flush 4 0.01% 1 : 15515 99.88%
20 T7s AQT72 flush 4 0.01% 1 : 15515 99.88%
21 T6s AQT62 flush 4 0.01% 1 : 15515 99.87%
22 T5s AQT52 flush 4 0.01% 1 : 15515 99.86%
23 T4s AQT42 flush 4 0.01% 1 : 15515 99.86%
24 T3s AQT32 flush 4 0.01% 1 : 15515 99.85%
25 98s AQ982 flush 4 0.01% 1 : 15515 99.85%
26 97s AQ972 flush 4 0.01% 1 : 15515 99.84%
27 96s AQ962 flush 4 0.01% 1 : 15515 99.83%
28 95s AQ952 flush 4 0.01% 1 : 15515 99.83%
29 94s AQ942 flush 4 0.01% 1 : 15515 99.82%
30 93s AQ932 flush 4 0.01% 1 : 15515 99.81%
31 87s AQ872 flush 4 0.01% 1 : 15515 99.81%
32 86s AQ862 flush 4 0.01% 1 : 15515 99.80%
33 85s AQ852 flush 4 0.01% 1 : 15515 99.79%
34 84s AQ842 flush 4 0.01% 1 : 15515 99.79%
35 83s AQ832 flush 4 0.01% 1 : 15515 99.78%
36 76s AQ762 flush 4 0.01% 1 : 15515 99.77%
37 75s AQ752 flush 4 0.01% 1 : 15515 99.77%
38 74s AQ742 flush 4 0.01% 1 : 15515 99.76%
39 73s AQ732 flush 4 0.01% 1 : 15515 99.76%
40 65s AQ652 flush 4 0.01% 1 : 15515 99.75%
41 64s AQ642 flush 4 0.01% 1 : 15515 99.74%
42 63s AQ632 flush 4 0.01% 1 : 15515 99.74%
43 54s AQ542 flush 4 0.01% 1 : 15515 99.73%
44 53s AQ532 flush 4 0.01% 1 : 15515 99.72%
45 43s AQ432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAQ2 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ AQQQ2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 AQ222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AQ AAQQ2 two pairs 144 0.23% 1 : 430 99.40%
50 A2 AAQ22 two pairs 144 0.23% 1 : 430 99.17%
51 Q2 AQQ22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKQ2 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAQJ2 one pair 384 0.62% 1 : 161 98.09%
54 AT AAQT2 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAQ92 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAQ82 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAQ72 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAQ62 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAQ52 one pair 384 0.62% 1 : 161 94.37%
60 A4 AAQ42 one pair 384 0.62% 1 : 161 93.75%
61 A3 AAQ32 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKQ2 one pair 384 0.62% 1 : 161 92.52%
63 KQ AKQQ2 one pair 384 0.62% 1 : 161 91.90%
64 QJ AQQJ2 one pair 384 0.62% 1 : 161 91.28%
65 QT AQQT2 one pair 384 0.62% 1 : 161 90.66%
66 Q9 AQQ92 one pair 384 0.62% 1 : 161 90.04%
67 Q8 AQQ82 one pair 384 0.62% 1 : 161 89.42%
68 Q7 AQQ72 one pair 384 0.62% 1 : 161 88.81%
69 Q6 AQQ62 one pair 384 0.62% 1 : 161 88.19%
70 Q5 AQQ52 one pair 384 0.62% 1 : 161 87.57%
71 Q4 AQQ42 one pair 384 0.62% 1 : 161 86.95%
72 Q3 AQQ32 one pair 384 0.62% 1 : 161 86.33%
73 JJ AQJJ2 one pair 384 0.62% 1 : 161 85.71%
74 TT AQTT2 one pair 384 0.62% 1 : 161 85.09%
75 99 AQ992 one pair 384 0.62% 1 : 161 84.47%
76 88 AQ882 one pair 384 0.62% 1 : 161 83.86%
77 77 AQ772 one pair 384 0.62% 1 : 161 83.24%
78 66 AQ662 one pair 384 0.62% 1 : 161 82.62%
79 55 AQ552 one pair 384 0.62% 1 : 161 82.00%
80 44 AQ442 one pair 384 0.62% 1 : 161 81.38%
81 33 AQ332 one pair 384 0.62% 1 : 161 80.76%
82 K2 AKQ22 one pair 384 0.62% 1 : 161 80.14%
83 J2 AQJ22 one pair 384 0.62% 1 : 161 79.52%
84 T2 AQT22 one pair 384 0.62% 1 : 161 78.91%
85 92 AQ922 one pair 384 0.62% 1 : 161 78.29%
86 82 AQ822 one pair 384 0.62% 1 : 161 77.67%
87 72 AQ722 one pair 384 0.62% 1 : 161 77.05%
88 62 AQ622 one pair 384 0.62% 1 : 161 76.43%
89 52 AQ522 one pair 384 0.62% 1 : 161 75.81%
90 42 AQ422 one pair 384 0.62% 1 : 161 75.19%
91 32 AQ322 one pair 384 0.62% 1 : 161 74.57%
 
92 KJ AKQJ2 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKQT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKQ92 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKQ82 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKQ72 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKQ62 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKQ52 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AKQ42 high card 1,020 1.64% 1 : 59.8 62.45%
100 K3 AKQ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AQJ92 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AQJ82 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AQJ72 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 AQJ62 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 AQJ52 high card 1,020 1.64% 1 : 59.8 50.95%
107 J4 AQJ42 high card 1,020 1.64% 1 : 59.8 49.30%
108 J3 AQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AQT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AQT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AQT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AQT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AQT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 AQT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 T3 AQT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AQ982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AQ972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AQ962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AQ952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 AQ942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 AQ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AQ872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AQ862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AQ852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 AQ842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 AQ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AQ762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AQ752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 AQ742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 AQ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AQ652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 AQ642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 AQ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 AQ542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 AQ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 AQ432 high card 1,020 1.64% 1 : 59.8 1.64%