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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 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 QTs QJT98 straight flush 4 0.01% 1 : 15515 100.00%
2 T7s JT987 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AKJ98 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQJ98 flush 4 0.01% 1 : 15515 99.98%
5 ATs AJT98 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ987 flush 4 0.01% 1 : 15515 99.97%
7 A6s AJ986 flush 4 0.01% 1 : 15515 99.96%
8 A5s AJ985 flush 4 0.01% 1 : 15515 99.95%
9 A4s AJ984 flush 4 0.01% 1 : 15515 99.95%
10 A3s AJ983 flush 4 0.01% 1 : 15515 99.94%
11 A2s AJ982 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQJ98 flush 4 0.01% 1 : 15515 99.93%
13 KTs KJT98 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ987 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJ986 flush 4 0.01% 1 : 15515 99.91%
16 K5s KJ985 flush 4 0.01% 1 : 15515 99.90%
17 K4s KJ984 flush 4 0.01% 1 : 15515 99.90%
18 K3s KJ983 flush 4 0.01% 1 : 15515 99.89%
19 K2s KJ982 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ987 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ986 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ985 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ984 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ983 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QJ982 flush 4 0.01% 1 : 15515 99.85%
26 T6s JT986 flush 4 0.01% 1 : 15515 99.84%
27 T5s JT985 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT984 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT983 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT982 flush 4 0.01% 1 : 15515 99.81%
31 76s J9876 flush 4 0.01% 1 : 15515 99.81%
32 75s J9875 flush 4 0.01% 1 : 15515 99.80%
33 74s J9874 flush 4 0.01% 1 : 15515 99.79%
34 73s J9873 flush 4 0.01% 1 : 15515 99.79%
35 72s J9872 flush 4 0.01% 1 : 15515 99.78%
36 65s J9865 flush 4 0.01% 1 : 15515 99.77%
37 64s J9864 flush 4 0.01% 1 : 15515 99.77%
38 63s J9863 flush 4 0.01% 1 : 15515 99.76%
39 62s J9862 flush 4 0.01% 1 : 15515 99.76%
40 54s J9854 flush 4 0.01% 1 : 15515 99.75%
41 53s J9853 flush 4 0.01% 1 : 15515 99.74%
42 52s J9852 flush 4 0.01% 1 : 15515 99.74%
43 43s J9843 flush 4 0.01% 1 : 15515 99.73%
44 42s J9842 flush 4 0.01% 1 : 15515 99.72%
45 32s J9832 flush 4 0.01% 1 : 15515 99.72%
 
46 QT QJT98 straight 1,020 1.64% 1 : 59.8 99.71%
47 T7 JT987 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 JJ JJJ98 three of a kind 64 0.10% 1 : 969 96.42%
49 99 J9998 three of a kind 64 0.10% 1 : 969 96.32%
50 88 J9888 three of a kind 64 0.10% 1 : 969 96.22%
 
51 J9 JJ998 two pairs 144 0.23% 1 : 430 96.11%
52 J8 JJ988 two pairs 144 0.23% 1 : 430 95.88%
53 98 J9988 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAJ98 one pair 384 0.62% 1 : 161 95.42%
55 KK KKJ98 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQJ98 one pair 384 0.62% 1 : 161 94.18%
57 AJ AJJ98 one pair 384 0.62% 1 : 161 93.56%
58 KJ KJJ98 one pair 384 0.62% 1 : 161 92.94%
59 QJ QJJ98 one pair 384 0.62% 1 : 161 92.32%
60 JT JJT98 one pair 384 0.62% 1 : 161 91.71%
61 J7 JJ987 one pair 384 0.62% 1 : 161 91.09%
62 J6 JJ986 one pair 384 0.62% 1 : 161 90.47%
63 J5 JJ985 one pair 384 0.62% 1 : 161 89.85%
64 J4 JJ984 one pair 384 0.62% 1 : 161 89.23%
65 J3 JJ983 one pair 384 0.62% 1 : 161 88.61%
66 J2 JJ982 one pair 384 0.62% 1 : 161 87.99%
67 TT JTT98 one pair 384 0.62% 1 : 161 87.37%
68 A9 AJ998 one pair 384 0.62% 1 : 161 86.76%
69 K9 KJ998 one pair 384 0.62% 1 : 161 86.14%
70 Q9 QJ998 one pair 384 0.62% 1 : 161 85.52%
71 T9 JT998 one pair 384 0.62% 1 : 161 84.90%
72 97 J9987 one pair 384 0.62% 1 : 161 84.28%
73 96 J9986 one pair 384 0.62% 1 : 161 83.66%
74 95 J9985 one pair 384 0.62% 1 : 161 83.04%
75 94 J9984 one pair 384 0.62% 1 : 161 82.42%
76 93 J9983 one pair 384 0.62% 1 : 161 81.81%
77 92 J9982 one pair 384 0.62% 1 : 161 81.19%
78 A8 AJ988 one pair 384 0.62% 1 : 161 80.57%
79 K8 KJ988 one pair 384 0.62% 1 : 161 79.95%
80 Q8 QJ988 one pair 384 0.62% 1 : 161 79.33%
81 T8 JT988 one pair 384 0.62% 1 : 161 78.71%
82 87 J9887 one pair 384 0.62% 1 : 161 78.09%
83 86 J9886 one pair 384 0.62% 1 : 161 77.47%
84 85 J9885 one pair 384 0.62% 1 : 161 76.86%
85 84 J9884 one pair 384 0.62% 1 : 161 76.24%
86 83 J9883 one pair 384 0.62% 1 : 161 75.62%
87 82 J9882 one pair 384 0.62% 1 : 161 75.00%
88 77 J9877 one pair 384 0.62% 1 : 161 74.38%
89 66 J9866 one pair 384 0.62% 1 : 161 73.76%
90 55 J9855 one pair 384 0.62% 1 : 161 73.14%
91 44 J9844 one pair 384 0.62% 1 : 161 72.53%
92 33 J9833 one pair 384 0.62% 1 : 161 71.91%
93 22 J9822 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AKJ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQJ98 high card 1,020 1.64% 1 : 59.8 69.03%
96 AT AJT98 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ987 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AJ986 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AJ985 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AJ984 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 AJ983 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 AJ982 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQJ98 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KJT98 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ987 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJ986 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KJ985 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 KJ984 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 KJ983 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 KJ982 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ987 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ986 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ985 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ984 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ983 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QJ982 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 JT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 JT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 J9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 J9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 J9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 J9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 J9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 J9865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 J9864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 J9863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 J9862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 J9854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 J9853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 J9852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J9843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J9842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J9832 high card 1,020 1.64% 1 : 59.8 1.64%