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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 AKQJ6 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKQT6 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKQ96 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKQ86 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKQ76 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKQ65 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKQ64 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKQ63 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQ62 flush 4 0.01% 1 : 15515 99.95%
10 JTs AQJT6 flush 4 0.01% 1 : 15515 99.94%
11 J9s AQJ96 flush 4 0.01% 1 : 15515 99.94%
12 J8s AQJ86 flush 4 0.01% 1 : 15515 99.93%
13 J7s AQJ76 flush 4 0.01% 1 : 15515 99.92%
14 J5s AQJ65 flush 4 0.01% 1 : 15515 99.92%
15 J4s AQJ64 flush 4 0.01% 1 : 15515 99.91%
16 J3s AQJ63 flush 4 0.01% 1 : 15515 99.90%
17 J2s AQJ62 flush 4 0.01% 1 : 15515 99.90%
18 T9s AQT96 flush 4 0.01% 1 : 15515 99.89%
19 T8s AQT86 flush 4 0.01% 1 : 15515 99.88%
20 T7s AQT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s AQT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s AQT64 flush 4 0.01% 1 : 15515 99.86%
23 T3s AQT63 flush 4 0.01% 1 : 15515 99.86%
24 T2s AQT62 flush 4 0.01% 1 : 15515 99.85%
25 98s AQ986 flush 4 0.01% 1 : 15515 99.85%
26 97s AQ976 flush 4 0.01% 1 : 15515 99.84%
27 95s AQ965 flush 4 0.01% 1 : 15515 99.83%
28 94s AQ964 flush 4 0.01% 1 : 15515 99.83%
29 93s AQ963 flush 4 0.01% 1 : 15515 99.82%
30 92s AQ962 flush 4 0.01% 1 : 15515 99.81%
31 87s AQ876 flush 4 0.01% 1 : 15515 99.81%
32 85s AQ865 flush 4 0.01% 1 : 15515 99.80%
33 84s AQ864 flush 4 0.01% 1 : 15515 99.79%
34 83s AQ863 flush 4 0.01% 1 : 15515 99.79%
35 82s AQ862 flush 4 0.01% 1 : 15515 99.78%
36 75s AQ765 flush 4 0.01% 1 : 15515 99.77%
37 74s AQ764 flush 4 0.01% 1 : 15515 99.77%
38 73s AQ763 flush 4 0.01% 1 : 15515 99.76%
39 72s AQ762 flush 4 0.01% 1 : 15515 99.76%
40 54s AQ654 flush 4 0.01% 1 : 15515 99.75%
41 53s AQ653 flush 4 0.01% 1 : 15515 99.74%
42 52s AQ652 flush 4 0.01% 1 : 15515 99.74%
43 43s AQ643 flush 4 0.01% 1 : 15515 99.73%
44 42s AQ642 flush 4 0.01% 1 : 15515 99.72%
45 32s AQ632 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAQ6 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ AQQQ6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 AQ666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AQ AAQQ6 two pairs 144 0.23% 1 : 430 99.40%
50 A6 AAQ66 two pairs 144 0.23% 1 : 430 99.17%
51 Q6 AQQ66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKQ6 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAQJ6 one pair 384 0.62% 1 : 161 98.09%
54 AT AAQT6 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAQ96 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAQ86 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAQ76 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAQ65 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAQ64 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAQ63 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAQ62 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKQ6 one pair 384 0.62% 1 : 161 92.52%
63 KQ AKQQ6 one pair 384 0.62% 1 : 161 91.90%
64 QJ AQQJ6 one pair 384 0.62% 1 : 161 91.28%
65 QT AQQT6 one pair 384 0.62% 1 : 161 90.66%
66 Q9 AQQ96 one pair 384 0.62% 1 : 161 90.04%
67 Q8 AQQ86 one pair 384 0.62% 1 : 161 89.42%
68 Q7 AQQ76 one pair 384 0.62% 1 : 161 88.81%
69 Q5 AQQ65 one pair 384 0.62% 1 : 161 88.19%
70 Q4 AQQ64 one pair 384 0.62% 1 : 161 87.57%
71 Q3 AQQ63 one pair 384 0.62% 1 : 161 86.95%
72 Q2 AQQ62 one pair 384 0.62% 1 : 161 86.33%
73 JJ AQJJ6 one pair 384 0.62% 1 : 161 85.71%
74 TT AQTT6 one pair 384 0.62% 1 : 161 85.09%
75 99 AQ996 one pair 384 0.62% 1 : 161 84.47%
76 88 AQ886 one pair 384 0.62% 1 : 161 83.86%
77 77 AQ776 one pair 384 0.62% 1 : 161 83.24%
78 K6 AKQ66 one pair 384 0.62% 1 : 161 82.62%
79 J6 AQJ66 one pair 384 0.62% 1 : 161 82.00%
80 T6 AQT66 one pair 384 0.62% 1 : 161 81.38%
81 96 AQ966 one pair 384 0.62% 1 : 161 80.76%
82 86 AQ866 one pair 384 0.62% 1 : 161 80.14%
83 76 AQ766 one pair 384 0.62% 1 : 161 79.52%
84 65 AQ665 one pair 384 0.62% 1 : 161 78.91%
85 64 AQ664 one pair 384 0.62% 1 : 161 78.29%
86 63 AQ663 one pair 384 0.62% 1 : 161 77.67%
87 62 AQ662 one pair 384 0.62% 1 : 161 77.05%
88 55 AQ655 one pair 384 0.62% 1 : 161 76.43%
89 44 AQ644 one pair 384 0.62% 1 : 161 75.81%
90 33 AQ633 one pair 384 0.62% 1 : 161 75.19%
91 22 AQ622 one pair 384 0.62% 1 : 161 74.57%
 
92 KJ AKQJ6 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKQT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKQ96 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKQ86 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKQ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKQ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKQ64 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKQ63 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQ62 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AQJ96 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AQJ86 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AQJ64 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AQJ63 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AQJ62 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AQT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AQT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AQT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AQT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AQT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AQT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AQT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AQ986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AQ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AQ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AQ964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AQ963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AQ962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AQ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 AQ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AQ864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AQ863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AQ862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 AQ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 AQ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AQ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AQ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AQ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AQ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AQ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AQ643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AQ642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AQ632 high card 1,020 1.64% 1 : 59.8 1.64%