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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 AQs AKQT8 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJT8 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKT98 flush 4 0.01% 1 : 15515 99.99%
4 A7s AKT87 flush 4 0.01% 1 : 15515 99.98%
5 A6s AKT86 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKT85 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKT84 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKT83 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKT82 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJT8 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQT98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s KQT87 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQT86 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQT85 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQT84 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQT83 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQT82 flush 4 0.01% 1 : 15515 99.90%
18 J9s KJT98 flush 4 0.01% 1 : 15515 99.89%
19 J7s KJT87 flush 4 0.01% 1 : 15515 99.88%
20 J6s KJT86 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJT85 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJT84 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJT83 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJT82 flush 4 0.01% 1 : 15515 99.85%
25 97s KT987 flush 4 0.01% 1 : 15515 99.85%
26 96s KT986 flush 4 0.01% 1 : 15515 99.84%
27 95s KT985 flush 4 0.01% 1 : 15515 99.83%
28 94s KT984 flush 4 0.01% 1 : 15515 99.83%
29 93s KT983 flush 4 0.01% 1 : 15515 99.82%
30 92s KT982 flush 4 0.01% 1 : 15515 99.81%
31 76s KT876 flush 4 0.01% 1 : 15515 99.81%
32 75s KT875 flush 4 0.01% 1 : 15515 99.80%
33 74s KT874 flush 4 0.01% 1 : 15515 99.79%
34 73s KT873 flush 4 0.01% 1 : 15515 99.79%
35 72s KT872 flush 4 0.01% 1 : 15515 99.78%
36 65s KT865 flush 4 0.01% 1 : 15515 99.77%
37 64s KT864 flush 4 0.01% 1 : 15515 99.77%
38 63s KT863 flush 4 0.01% 1 : 15515 99.76%
39 62s KT862 flush 4 0.01% 1 : 15515 99.76%
40 54s KT854 flush 4 0.01% 1 : 15515 99.75%
41 53s KT853 flush 4 0.01% 1 : 15515 99.74%
42 52s KT852 flush 4 0.01% 1 : 15515 99.74%
43 43s KT843 flush 4 0.01% 1 : 15515 99.73%
44 42s KT842 flush 4 0.01% 1 : 15515 99.72%
45 32s KT832 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKT8 three of a kind 64 0.10% 1 : 969 99.71%
47 TT KTTT8 three of a kind 64 0.10% 1 : 969 99.61%
48 88 KT888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KT KKTT8 two pairs 144 0.23% 1 : 430 99.40%
50 K8 KKT88 two pairs 144 0.23% 1 : 430 99.17%
51 T8 KTT88 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKT8 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKT8 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQT8 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJT8 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKT98 one pair 384 0.62% 1 : 161 96.23%
57 K7 KKT87 one pair 384 0.62% 1 : 161 95.61%
58 K6 KKT86 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKT85 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKT84 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKT83 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKT82 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQT8 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJT8 one pair 384 0.62% 1 : 161 91.28%
65 AT AKTT8 one pair 384 0.62% 1 : 161 90.66%
66 QT KQTT8 one pair 384 0.62% 1 : 161 90.04%
67 JT KJTT8 one pair 384 0.62% 1 : 161 89.42%
68 T9 KTT98 one pair 384 0.62% 1 : 161 88.81%
69 T7 KTT87 one pair 384 0.62% 1 : 161 88.19%
70 T6 KTT86 one pair 384 0.62% 1 : 161 87.57%
71 T5 KTT85 one pair 384 0.62% 1 : 161 86.95%
72 T4 KTT84 one pair 384 0.62% 1 : 161 86.33%
73 T3 KTT83 one pair 384 0.62% 1 : 161 85.71%
74 T2 KTT82 one pair 384 0.62% 1 : 161 85.09%
75 99 KT998 one pair 384 0.62% 1 : 161 84.47%
76 A8 AKT88 one pair 384 0.62% 1 : 161 83.86%
77 Q8 KQT88 one pair 384 0.62% 1 : 161 83.24%
78 J8 KJT88 one pair 384 0.62% 1 : 161 82.62%
79 98 KT988 one pair 384 0.62% 1 : 161 82.00%
80 87 KT887 one pair 384 0.62% 1 : 161 81.38%
81 86 KT886 one pair 384 0.62% 1 : 161 80.76%
82 85 KT885 one pair 384 0.62% 1 : 161 80.14%
83 84 KT884 one pair 384 0.62% 1 : 161 79.52%
84 83 KT883 one pair 384 0.62% 1 : 161 78.91%
85 82 KT882 one pair 384 0.62% 1 : 161 78.29%
86 77 KT877 one pair 384 0.62% 1 : 161 77.67%
87 66 KT866 one pair 384 0.62% 1 : 161 77.05%
88 55 KT855 one pair 384 0.62% 1 : 161 76.43%
89 44 KT844 one pair 384 0.62% 1 : 161 75.81%
90 33 KT833 one pair 384 0.62% 1 : 161 75.19%
91 22 KT822 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQT8 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJT8 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKT98 high card 1,020 1.64% 1 : 59.8 70.67%
95 A7 AKT87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AKT86 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKT85 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKT84 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKT83 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKT82 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJT8 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQT98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 KQT87 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQT86 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQT85 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQT84 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQT83 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQT82 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 KJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 KJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 KJT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 KT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 KT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 KT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 KT875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 KT874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 KT873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 KT872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KT865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KT864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KT863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KT862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KT854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KT853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KT852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KT843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KT842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KT832 high card 1,020 1.64% 1 : 59.8 1.64%