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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 AKQJ8 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKQT8 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKQ98 flush 4 0.01% 1 : 15515 99.99%
4 A7s AKQ87 flush 4 0.01% 1 : 15515 99.98%
5 A6s AKQ86 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKQ85 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKQ84 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKQ83 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKQ82 flush 4 0.01% 1 : 15515 99.95%
10 JTs KQJT8 flush 4 0.01% 1 : 15515 99.94%
11 J9s KQJ98 flush 4 0.01% 1 : 15515 99.94%
12 J7s KQJ87 flush 4 0.01% 1 : 15515 99.93%
13 J6s KQJ86 flush 4 0.01% 1 : 15515 99.92%
14 J5s KQJ85 flush 4 0.01% 1 : 15515 99.92%
15 J4s KQJ84 flush 4 0.01% 1 : 15515 99.91%
16 J3s KQJ83 flush 4 0.01% 1 : 15515 99.90%
17 J2s KQJ82 flush 4 0.01% 1 : 15515 99.90%
18 T9s KQT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s KQT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s KQT86 flush 4 0.01% 1 : 15515 99.88%
21 T5s KQT85 flush 4 0.01% 1 : 15515 99.87%
22 T4s KQT84 flush 4 0.01% 1 : 15515 99.86%
23 T3s KQT83 flush 4 0.01% 1 : 15515 99.86%
24 T2s KQT82 flush 4 0.01% 1 : 15515 99.85%
25 97s KQ987 flush 4 0.01% 1 : 15515 99.85%
26 96s KQ986 flush 4 0.01% 1 : 15515 99.84%
27 95s KQ985 flush 4 0.01% 1 : 15515 99.83%
28 94s KQ984 flush 4 0.01% 1 : 15515 99.83%
29 93s KQ983 flush 4 0.01% 1 : 15515 99.82%
30 92s KQ982 flush 4 0.01% 1 : 15515 99.81%
31 76s KQ876 flush 4 0.01% 1 : 15515 99.81%
32 75s KQ875 flush 4 0.01% 1 : 15515 99.80%
33 74s KQ874 flush 4 0.01% 1 : 15515 99.79%
34 73s KQ873 flush 4 0.01% 1 : 15515 99.79%
35 72s KQ872 flush 4 0.01% 1 : 15515 99.78%
36 65s KQ865 flush 4 0.01% 1 : 15515 99.77%
37 64s KQ864 flush 4 0.01% 1 : 15515 99.77%
38 63s KQ863 flush 4 0.01% 1 : 15515 99.76%
39 62s KQ862 flush 4 0.01% 1 : 15515 99.76%
40 54s KQ854 flush 4 0.01% 1 : 15515 99.75%
41 53s KQ853 flush 4 0.01% 1 : 15515 99.74%
42 52s KQ852 flush 4 0.01% 1 : 15515 99.74%
43 43s KQ843 flush 4 0.01% 1 : 15515 99.73%
44 42s KQ842 flush 4 0.01% 1 : 15515 99.72%
45 32s KQ832 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKQ8 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ KQQQ8 three of a kind 64 0.10% 1 : 969 99.61%
48 88 KQ888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KQ KKQQ8 two pairs 144 0.23% 1 : 430 99.40%
50 K8 KKQ88 two pairs 144 0.23% 1 : 430 99.17%
51 Q8 KQQ88 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKQ8 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKQ8 one pair 384 0.62% 1 : 161 98.09%
54 KJ KKQJ8 one pair 384 0.62% 1 : 161 97.47%
55 KT KKQT8 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKQ98 one pair 384 0.62% 1 : 161 96.23%
57 K7 KKQ87 one pair 384 0.62% 1 : 161 95.61%
58 K6 KKQ86 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKQ85 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKQ84 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKQ83 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKQ82 one pair 384 0.62% 1 : 161 92.52%
63 AQ AKQQ8 one pair 384 0.62% 1 : 161 91.90%
64 QJ KQQJ8 one pair 384 0.62% 1 : 161 91.28%
65 QT KQQT8 one pair 384 0.62% 1 : 161 90.66%
66 Q9 KQQ98 one pair 384 0.62% 1 : 161 90.04%
67 Q7 KQQ87 one pair 384 0.62% 1 : 161 89.42%
68 Q6 KQQ86 one pair 384 0.62% 1 : 161 88.81%
69 Q5 KQQ85 one pair 384 0.62% 1 : 161 88.19%
70 Q4 KQQ84 one pair 384 0.62% 1 : 161 87.57%
71 Q3 KQQ83 one pair 384 0.62% 1 : 161 86.95%
72 Q2 KQQ82 one pair 384 0.62% 1 : 161 86.33%
73 JJ KQJJ8 one pair 384 0.62% 1 : 161 85.71%
74 TT KQTT8 one pair 384 0.62% 1 : 161 85.09%
75 99 KQ998 one pair 384 0.62% 1 : 161 84.47%
76 A8 AKQ88 one pair 384 0.62% 1 : 161 83.86%
77 J8 KQJ88 one pair 384 0.62% 1 : 161 83.24%
78 T8 KQT88 one pair 384 0.62% 1 : 161 82.62%
79 98 KQ988 one pair 384 0.62% 1 : 161 82.00%
80 87 KQ887 one pair 384 0.62% 1 : 161 81.38%
81 86 KQ886 one pair 384 0.62% 1 : 161 80.76%
82 85 KQ885 one pair 384 0.62% 1 : 161 80.14%
83 84 KQ884 one pair 384 0.62% 1 : 161 79.52%
84 83 KQ883 one pair 384 0.62% 1 : 161 78.91%
85 82 KQ882 one pair 384 0.62% 1 : 161 78.29%
86 77 KQ877 one pair 384 0.62% 1 : 161 77.67%
87 66 KQ866 one pair 384 0.62% 1 : 161 77.05%
88 55 KQ855 one pair 384 0.62% 1 : 161 76.43%
89 44 KQ844 one pair 384 0.62% 1 : 161 75.81%
90 33 KQ833 one pair 384 0.62% 1 : 161 75.19%
91 22 KQ822 one pair 384 0.62% 1 : 161 74.57%
 
92 AJ AKQJ8 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKQT8 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKQ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 A7 AKQ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AKQ86 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKQ85 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKQ84 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKQ83 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKQ82 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT KQJT8 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 KQJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 J7 KQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 KQJ86 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 KQJ85 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 KQJ84 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 KQJ83 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 KQJ82 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KQT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 KQT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 KQT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 KQT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KQT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KQT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KQT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 KQ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 KQ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KQ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KQ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KQ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KQ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 KQ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 KQ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 KQ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 KQ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 KQ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KQ865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KQ864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KQ863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KQ862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KQ854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KQ853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KQ852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KQ843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KQ842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KQ832 high card 1,020 1.64% 1 : 59.8 1.64%