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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 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 T9s QJT98 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKQJ8 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQJT8 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQJ98 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQJ87 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQJ86 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQJ85 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQJ84 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQJ83 flush 4 0.01% 1 : 15515 99.95%
10 A2s AQJ82 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQJT8 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQJ98 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQJ87 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQJ86 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQJ85 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQJ84 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQJ83 flush 4 0.01% 1 : 15515 99.90%
18 K2s KQJ82 flush 4 0.01% 1 : 15515 99.89%
19 T7s QJT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s QJT86 flush 4 0.01% 1 : 15515 99.88%
21 T5s QJT85 flush 4 0.01% 1 : 15515 99.87%
22 T4s QJT84 flush 4 0.01% 1 : 15515 99.86%
23 T3s QJT83 flush 4 0.01% 1 : 15515 99.86%
24 T2s QJT82 flush 4 0.01% 1 : 15515 99.85%
25 97s QJ987 flush 4 0.01% 1 : 15515 99.85%
26 96s QJ986 flush 4 0.01% 1 : 15515 99.84%
27 95s QJ985 flush 4 0.01% 1 : 15515 99.83%
28 94s QJ984 flush 4 0.01% 1 : 15515 99.83%
29 93s QJ983 flush 4 0.01% 1 : 15515 99.82%
30 92s QJ982 flush 4 0.01% 1 : 15515 99.81%
31 76s QJ876 flush 4 0.01% 1 : 15515 99.81%
32 75s QJ875 flush 4 0.01% 1 : 15515 99.80%
33 74s QJ874 flush 4 0.01% 1 : 15515 99.79%
34 73s QJ873 flush 4 0.01% 1 : 15515 99.79%
35 72s QJ872 flush 4 0.01% 1 : 15515 99.78%
36 65s QJ865 flush 4 0.01% 1 : 15515 99.77%
37 64s QJ864 flush 4 0.01% 1 : 15515 99.77%
38 63s QJ863 flush 4 0.01% 1 : 15515 99.76%
39 62s QJ862 flush 4 0.01% 1 : 15515 99.76%
40 54s QJ854 flush 4 0.01% 1 : 15515 99.75%
41 53s QJ853 flush 4 0.01% 1 : 15515 99.74%
42 52s QJ852 flush 4 0.01% 1 : 15515 99.74%
43 43s QJ843 flush 4 0.01% 1 : 15515 99.73%
44 42s QJ842 flush 4 0.01% 1 : 15515 99.72%
45 32s QJ832 flush 4 0.01% 1 : 15515 99.72%
 
46 T9 QJT98 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 QQ QQQJ8 three of a kind 64 0.10% 1 : 969 98.07%
48 JJ QJJJ8 three of a kind 64 0.10% 1 : 969 97.96%
49 88 QJ888 three of a kind 64 0.10% 1 : 969 97.86%
 
50 QJ QQJJ8 two pairs 144 0.23% 1 : 430 97.76%
51 Q8 QQJ88 two pairs 144 0.23% 1 : 430 97.53%
52 J8 QJJ88 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAQJ8 one pair 384 0.62% 1 : 161 97.06%
54 KK KKQJ8 one pair 384 0.62% 1 : 161 96.44%
55 AQ AQQJ8 one pair 384 0.62% 1 : 161 95.82%
56 KQ KQQJ8 one pair 384 0.62% 1 : 161 95.20%
57 QT QQJT8 one pair 384 0.62% 1 : 161 94.59%
58 Q9 QQJ98 one pair 384 0.62% 1 : 161 93.97%
59 Q7 QQJ87 one pair 384 0.62% 1 : 161 93.35%
60 Q6 QQJ86 one pair 384 0.62% 1 : 161 92.73%
61 Q5 QQJ85 one pair 384 0.62% 1 : 161 92.11%
62 Q4 QQJ84 one pair 384 0.62% 1 : 161 91.49%
63 Q3 QQJ83 one pair 384 0.62% 1 : 161 90.87%
64 Q2 QQJ82 one pair 384 0.62% 1 : 161 90.26%
65 AJ AQJJ8 one pair 384 0.62% 1 : 161 89.64%
66 KJ KQJJ8 one pair 384 0.62% 1 : 161 89.02%
67 JT QJJT8 one pair 384 0.62% 1 : 161 88.40%
68 J9 QJJ98 one pair 384 0.62% 1 : 161 87.78%
69 J7 QJJ87 one pair 384 0.62% 1 : 161 87.16%
70 J6 QJJ86 one pair 384 0.62% 1 : 161 86.54%
71 J5 QJJ85 one pair 384 0.62% 1 : 161 85.92%
72 J4 QJJ84 one pair 384 0.62% 1 : 161 85.31%
73 J3 QJJ83 one pair 384 0.62% 1 : 161 84.69%
74 J2 QJJ82 one pair 384 0.62% 1 : 161 84.07%
75 TT QJTT8 one pair 384 0.62% 1 : 161 83.45%
76 99 QJ998 one pair 384 0.62% 1 : 161 82.83%
77 A8 AQJ88 one pair 384 0.62% 1 : 161 82.21%
78 K8 KQJ88 one pair 384 0.62% 1 : 161 81.59%
79 T8 QJT88 one pair 384 0.62% 1 : 161 80.97%
80 98 QJ988 one pair 384 0.62% 1 : 161 80.36%
81 87 QJ887 one pair 384 0.62% 1 : 161 79.74%
82 86 QJ886 one pair 384 0.62% 1 : 161 79.12%
83 85 QJ885 one pair 384 0.62% 1 : 161 78.50%
84 84 QJ884 one pair 384 0.62% 1 : 161 77.88%
85 83 QJ883 one pair 384 0.62% 1 : 161 77.26%
86 82 QJ882 one pair 384 0.62% 1 : 161 76.64%
87 77 QJ877 one pair 384 0.62% 1 : 161 76.02%
88 66 QJ866 one pair 384 0.62% 1 : 161 75.41%
89 55 QJ855 one pair 384 0.62% 1 : 161 74.79%
90 44 QJ844 one pair 384 0.62% 1 : 161 74.17%
91 33 QJ833 one pair 384 0.62% 1 : 161 73.55%
92 22 QJ822 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKQJ8 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQJT8 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQJ98 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQJ87 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQJ86 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQJ85 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQJ84 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQJ83 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AQJ82 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQJ98 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQJ87 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQJ86 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQJ85 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQJ84 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQJ83 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KQJ82 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 QJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 QJT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 QJT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 QJT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 QJT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 QJT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 QJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 QJ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 QJ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 QJ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QJ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QJ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 QJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 QJ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 QJ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 QJ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 QJ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 QJ865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 QJ864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 QJ863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 QJ862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QJ854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QJ853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QJ852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QJ843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QJ842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QJ832 high card 1,020 1.64% 1 : 59.8 1.64%