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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 AKQJ8 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKJT8 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKJ98 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKJ87 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKJ86 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKJ85 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKJ84 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKJ83 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKJ82 flush 4 0.01% 1 : 15515 99.95%
10 QTs AQJT8 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQJ98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s AQJ87 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQJ86 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQJ85 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQJ84 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQJ83 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQJ82 flush 4 0.01% 1 : 15515 99.90%
18 T9s AJT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s AJT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s AJT86 flush 4 0.01% 1 : 15515 99.88%
21 T5s AJT85 flush 4 0.01% 1 : 15515 99.87%
22 T4s AJT84 flush 4 0.01% 1 : 15515 99.86%
23 T3s AJT83 flush 4 0.01% 1 : 15515 99.86%
24 T2s AJT82 flush 4 0.01% 1 : 15515 99.85%
25 97s AJ987 flush 4 0.01% 1 : 15515 99.85%
26 96s AJ986 flush 4 0.01% 1 : 15515 99.84%
27 95s AJ985 flush 4 0.01% 1 : 15515 99.83%
28 94s AJ984 flush 4 0.01% 1 : 15515 99.83%
29 93s AJ983 flush 4 0.01% 1 : 15515 99.82%
30 92s AJ982 flush 4 0.01% 1 : 15515 99.81%
31 76s AJ876 flush 4 0.01% 1 : 15515 99.81%
32 75s AJ875 flush 4 0.01% 1 : 15515 99.80%
33 74s AJ874 flush 4 0.01% 1 : 15515 99.79%
34 73s AJ873 flush 4 0.01% 1 : 15515 99.79%
35 72s AJ872 flush 4 0.01% 1 : 15515 99.78%
36 65s AJ865 flush 4 0.01% 1 : 15515 99.77%
37 64s AJ864 flush 4 0.01% 1 : 15515 99.77%
38 63s AJ863 flush 4 0.01% 1 : 15515 99.76%
39 62s AJ862 flush 4 0.01% 1 : 15515 99.76%
40 54s AJ854 flush 4 0.01% 1 : 15515 99.75%
41 53s AJ853 flush 4 0.01% 1 : 15515 99.74%
42 52s AJ852 flush 4 0.01% 1 : 15515 99.74%
43 43s AJ843 flush 4 0.01% 1 : 15515 99.73%
44 42s AJ842 flush 4 0.01% 1 : 15515 99.72%
45 32s AJ832 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAJ8 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ AJJJ8 three of a kind 64 0.10% 1 : 969 99.61%
48 88 AJ888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AJ AAJJ8 two pairs 144 0.23% 1 : 430 99.40%
50 A8 AAJ88 two pairs 144 0.23% 1 : 430 99.17%
51 J8 AJJ88 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKJ8 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQJ8 one pair 384 0.62% 1 : 161 98.09%
54 AT AAJT8 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAJ98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AAJ87 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAJ86 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAJ85 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAJ84 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAJ83 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAJ82 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKJ8 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQJ8 one pair 384 0.62% 1 : 161 91.90%
64 KJ AKJJ8 one pair 384 0.62% 1 : 161 91.28%
65 QJ AQJJ8 one pair 384 0.62% 1 : 161 90.66%
66 JT AJJT8 one pair 384 0.62% 1 : 161 90.04%
67 J9 AJJ98 one pair 384 0.62% 1 : 161 89.42%
68 J7 AJJ87 one pair 384 0.62% 1 : 161 88.81%
69 J6 AJJ86 one pair 384 0.62% 1 : 161 88.19%
70 J5 AJJ85 one pair 384 0.62% 1 : 161 87.57%
71 J4 AJJ84 one pair 384 0.62% 1 : 161 86.95%
72 J3 AJJ83 one pair 384 0.62% 1 : 161 86.33%
73 J2 AJJ82 one pair 384 0.62% 1 : 161 85.71%
74 TT AJTT8 one pair 384 0.62% 1 : 161 85.09%
75 99 AJ998 one pair 384 0.62% 1 : 161 84.47%
76 K8 AKJ88 one pair 384 0.62% 1 : 161 83.86%
77 Q8 AQJ88 one pair 384 0.62% 1 : 161 83.24%
78 T8 AJT88 one pair 384 0.62% 1 : 161 82.62%
79 98 AJ988 one pair 384 0.62% 1 : 161 82.00%
80 87 AJ887 one pair 384 0.62% 1 : 161 81.38%
81 86 AJ886 one pair 384 0.62% 1 : 161 80.76%
82 85 AJ885 one pair 384 0.62% 1 : 161 80.14%
83 84 AJ884 one pair 384 0.62% 1 : 161 79.52%
84 83 AJ883 one pair 384 0.62% 1 : 161 78.91%
85 82 AJ882 one pair 384 0.62% 1 : 161 78.29%
86 77 AJ877 one pair 384 0.62% 1 : 161 77.67%
87 66 AJ866 one pair 384 0.62% 1 : 161 77.05%
88 55 AJ855 one pair 384 0.62% 1 : 161 76.43%
89 44 AJ844 one pair 384 0.62% 1 : 161 75.81%
90 33 AJ833 one pair 384 0.62% 1 : 161 75.19%
91 22 AJ822 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQJ8 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKJT8 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKJ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKJ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKJ86 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKJ85 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKJ84 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKJ83 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKJ82 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT AQJT8 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 AQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQJ86 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQJ85 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQJ84 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQJ83 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQJ82 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 AJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AJT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AJT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AJT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AJT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AJT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 AJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 AJ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AJ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AJ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AJ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AJ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AJ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AJ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AJ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AJ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AJ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AJ865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AJ864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AJ863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AJ862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AJ854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AJ853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AJ852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AJ843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AJ842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AJ832 high card 1,020 1.64% 1 : 59.8 1.64%