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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 KQs AKQ96 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ96 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT96 flush 4 0.01% 1 : 15515 99.99%
4 K8s AK986 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK976 flush 4 0.01% 1 : 15515 99.97%
6 K5s AK965 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK964 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK963 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK962 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ96 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT96 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQ986 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ976 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQ965 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ964 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ963 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ962 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT96 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJ986 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ976 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJ965 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ964 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ963 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ962 flush 4 0.01% 1 : 15515 99.85%
25 T8s AT986 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT976 flush 4 0.01% 1 : 15515 99.84%
27 T5s AT965 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT964 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT963 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT962 flush 4 0.01% 1 : 15515 99.81%
31 87s A9876 flush 4 0.01% 1 : 15515 99.81%
32 85s A9865 flush 4 0.01% 1 : 15515 99.80%
33 84s A9864 flush 4 0.01% 1 : 15515 99.79%
34 83s A9863 flush 4 0.01% 1 : 15515 99.79%
35 82s A9862 flush 4 0.01% 1 : 15515 99.78%
36 75s A9765 flush 4 0.01% 1 : 15515 99.77%
37 74s A9764 flush 4 0.01% 1 : 15515 99.77%
38 73s A9763 flush 4 0.01% 1 : 15515 99.76%
39 72s A9762 flush 4 0.01% 1 : 15515 99.76%
40 54s A9654 flush 4 0.01% 1 : 15515 99.75%
41 53s A9653 flush 4 0.01% 1 : 15515 99.74%
42 52s A9652 flush 4 0.01% 1 : 15515 99.74%
43 43s A9643 flush 4 0.01% 1 : 15515 99.73%
44 42s A9642 flush 4 0.01% 1 : 15515 99.72%
45 32s A9632 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA96 three of a kind 64 0.10% 1 : 969 99.71%
47 99 A9996 three of a kind 64 0.10% 1 : 969 99.61%
48 66 A9666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A9 AA996 two pairs 144 0.23% 1 : 430 99.40%
50 A6 AA966 two pairs 144 0.23% 1 : 430 99.17%
51 96 A9966 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK96 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ96 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ96 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT96 one pair 384 0.62% 1 : 161 96.85%
56 A8 AA986 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA976 one pair 384 0.62% 1 : 161 95.61%
58 A5 AA965 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA964 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA963 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA962 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK96 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ96 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ96 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT96 one pair 384 0.62% 1 : 161 90.66%
66 K9 AK996 one pair 384 0.62% 1 : 161 90.04%
67 Q9 AQ996 one pair 384 0.62% 1 : 161 89.42%
68 J9 AJ996 one pair 384 0.62% 1 : 161 88.81%
69 T9 AT996 one pair 384 0.62% 1 : 161 88.19%
70 98 A9986 one pair 384 0.62% 1 : 161 87.57%
71 97 A9976 one pair 384 0.62% 1 : 161 86.95%
72 95 A9965 one pair 384 0.62% 1 : 161 86.33%
73 94 A9964 one pair 384 0.62% 1 : 161 85.71%
74 93 A9963 one pair 384 0.62% 1 : 161 85.09%
75 92 A9962 one pair 384 0.62% 1 : 161 84.47%
76 88 A9886 one pair 384 0.62% 1 : 161 83.86%
77 77 A9776 one pair 384 0.62% 1 : 161 83.24%
78 K6 AK966 one pair 384 0.62% 1 : 161 82.62%
79 Q6 AQ966 one pair 384 0.62% 1 : 161 82.00%
80 J6 AJ966 one pair 384 0.62% 1 : 161 81.38%
81 T6 AT966 one pair 384 0.62% 1 : 161 80.76%
82 86 A9866 one pair 384 0.62% 1 : 161 80.14%
83 76 A9766 one pair 384 0.62% 1 : 161 79.52%
84 65 A9665 one pair 384 0.62% 1 : 161 78.91%
85 64 A9664 one pair 384 0.62% 1 : 161 78.29%
86 63 A9663 one pair 384 0.62% 1 : 161 77.67%
87 62 A9662 one pair 384 0.62% 1 : 161 77.05%
88 55 A9655 one pair 384 0.62% 1 : 161 76.43%
89 44 A9644 one pair 384 0.62% 1 : 161 75.81%
90 33 A9633 one pair 384 0.62% 1 : 161 75.19%
91 22 A9622 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ96 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ96 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AK986 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK976 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AK965 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK964 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK963 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK962 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ96 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ976 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQ965 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ964 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ963 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ962 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJ986 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ976 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJ965 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ964 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ963 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ962 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 AT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 AT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT964 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT963 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 A9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 A9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 A9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 A9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 A9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 A9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 A9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 A9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 A9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 A9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 A9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 A9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A9643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A9642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A9632 high card 1,020 1.64% 1 : 59.8 1.64%