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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 AJs AKQJ6 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKQT6 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKQ96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKQ86 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKQ76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKQ65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKQ64 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKQ63 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKQ62 flush 4 0.01% 1 : 15515 99.95%
10 JTs KQJT6 flush 4 0.01% 1 : 15515 99.94%
11 J9s KQJ96 flush 4 0.01% 1 : 15515 99.94%
12 J8s KQJ86 flush 4 0.01% 1 : 15515 99.93%
13 J7s KQJ76 flush 4 0.01% 1 : 15515 99.92%
14 J5s KQJ65 flush 4 0.01% 1 : 15515 99.92%
15 J4s KQJ64 flush 4 0.01% 1 : 15515 99.91%
16 J3s KQJ63 flush 4 0.01% 1 : 15515 99.90%
17 J2s KQJ62 flush 4 0.01% 1 : 15515 99.90%
18 T9s KQT96 flush 4 0.01% 1 : 15515 99.89%
19 T8s KQT86 flush 4 0.01% 1 : 15515 99.88%
20 T7s KQT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s KQT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s KQT64 flush 4 0.01% 1 : 15515 99.86%
23 T3s KQT63 flush 4 0.01% 1 : 15515 99.86%
24 T2s KQT62 flush 4 0.01% 1 : 15515 99.85%
25 98s KQ986 flush 4 0.01% 1 : 15515 99.85%
26 97s KQ976 flush 4 0.01% 1 : 15515 99.84%
27 95s KQ965 flush 4 0.01% 1 : 15515 99.83%
28 94s KQ964 flush 4 0.01% 1 : 15515 99.83%
29 93s KQ963 flush 4 0.01% 1 : 15515 99.82%
30 92s KQ962 flush 4 0.01% 1 : 15515 99.81%
31 87s KQ876 flush 4 0.01% 1 : 15515 99.81%
32 85s KQ865 flush 4 0.01% 1 : 15515 99.80%
33 84s KQ864 flush 4 0.01% 1 : 15515 99.79%
34 83s KQ863 flush 4 0.01% 1 : 15515 99.79%
35 82s KQ862 flush 4 0.01% 1 : 15515 99.78%
36 75s KQ765 flush 4 0.01% 1 : 15515 99.77%
37 74s KQ764 flush 4 0.01% 1 : 15515 99.77%
38 73s KQ763 flush 4 0.01% 1 : 15515 99.76%
39 72s KQ762 flush 4 0.01% 1 : 15515 99.76%
40 54s KQ654 flush 4 0.01% 1 : 15515 99.75%
41 53s KQ653 flush 4 0.01% 1 : 15515 99.74%
42 52s KQ652 flush 4 0.01% 1 : 15515 99.74%
43 43s KQ643 flush 4 0.01% 1 : 15515 99.73%
44 42s KQ642 flush 4 0.01% 1 : 15515 99.72%
45 32s KQ632 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKQ6 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ KQQQ6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 KQ666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KQ KKQQ6 two pairs 144 0.23% 1 : 430 99.40%
50 K6 KKQ66 two pairs 144 0.23% 1 : 430 99.17%
51 Q6 KQQ66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKQ6 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKQ6 one pair 384 0.62% 1 : 161 98.09%
54 KJ KKQJ6 one pair 384 0.62% 1 : 161 97.47%
55 KT KKQT6 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKQ96 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKQ86 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKQ76 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKQ65 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKQ64 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKQ63 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKQ62 one pair 384 0.62% 1 : 161 92.52%
63 AQ AKQQ6 one pair 384 0.62% 1 : 161 91.90%
64 QJ KQQJ6 one pair 384 0.62% 1 : 161 91.28%
65 QT KQQT6 one pair 384 0.62% 1 : 161 90.66%
66 Q9 KQQ96 one pair 384 0.62% 1 : 161 90.04%
67 Q8 KQQ86 one pair 384 0.62% 1 : 161 89.42%
68 Q7 KQQ76 one pair 384 0.62% 1 : 161 88.81%
69 Q5 KQQ65 one pair 384 0.62% 1 : 161 88.19%
70 Q4 KQQ64 one pair 384 0.62% 1 : 161 87.57%
71 Q3 KQQ63 one pair 384 0.62% 1 : 161 86.95%
72 Q2 KQQ62 one pair 384 0.62% 1 : 161 86.33%
73 JJ KQJJ6 one pair 384 0.62% 1 : 161 85.71%
74 TT KQTT6 one pair 384 0.62% 1 : 161 85.09%
75 99 KQ996 one pair 384 0.62% 1 : 161 84.47%
76 88 KQ886 one pair 384 0.62% 1 : 161 83.86%
77 77 KQ776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AKQ66 one pair 384 0.62% 1 : 161 82.62%
79 J6 KQJ66 one pair 384 0.62% 1 : 161 82.00%
80 T6 KQT66 one pair 384 0.62% 1 : 161 81.38%
81 96 KQ966 one pair 384 0.62% 1 : 161 80.76%
82 86 KQ866 one pair 384 0.62% 1 : 161 80.14%
83 76 KQ766 one pair 384 0.62% 1 : 161 79.52%
84 65 KQ665 one pair 384 0.62% 1 : 161 78.91%
85 64 KQ664 one pair 384 0.62% 1 : 161 78.29%
86 63 KQ663 one pair 384 0.62% 1 : 161 77.67%
87 62 KQ662 one pair 384 0.62% 1 : 161 77.05%
88 55 KQ655 one pair 384 0.62% 1 : 161 76.43%
89 44 KQ644 one pair 384 0.62% 1 : 161 75.81%
90 33 KQ633 one pair 384 0.62% 1 : 161 75.19%
91 22 KQ622 one pair 384 0.62% 1 : 161 74.57%
 
92 AJ AKQJ6 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKQT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKQ96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKQ86 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKQ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKQ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKQ64 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKQ63 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKQ62 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT KQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 KQJ96 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 KQJ86 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 KQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 KQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 KQJ64 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 KQJ63 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 KQJ62 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KQT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KQT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KQT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 KQT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KQT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KQT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KQT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KQ986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KQ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KQ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KQ964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KQ963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KQ962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KQ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 KQ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KQ864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KQ863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KQ862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 KQ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 KQ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KQ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KQ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KQ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KQ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KQ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KQ643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KQ642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KQ632 high card 1,020 1.64% 1 : 59.8 1.64%