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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 97s T9876 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKT86 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQT86 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJT86 flush 4 0.01% 1 : 15515 99.98%
5 A9s AT986 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT876 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT865 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT864 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT863 flush 4 0.01% 1 : 15515 99.95%
10 A2s AT862 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQT86 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJT86 flush 4 0.01% 1 : 15515 99.93%
13 K9s KT986 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT876 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT865 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT864 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT863 flush 4 0.01% 1 : 15515 99.90%
18 K2s KT862 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJT86 flush 4 0.01% 1 : 15515 99.88%
20 Q9s QT986 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT876 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT865 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT864 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT863 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QT862 flush 4 0.01% 1 : 15515 99.85%
26 J9s JT986 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT876 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT865 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT864 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT863 flush 4 0.01% 1 : 15515 99.81%
31 J2s JT862 flush 4 0.01% 1 : 15515 99.81%
32 95s T9865 flush 4 0.01% 1 : 15515 99.80%
33 94s T9864 flush 4 0.01% 1 : 15515 99.79%
34 93s T9863 flush 4 0.01% 1 : 15515 99.79%
35 92s T9862 flush 4 0.01% 1 : 15515 99.78%
36 75s T8765 flush 4 0.01% 1 : 15515 99.77%
37 74s T8764 flush 4 0.01% 1 : 15515 99.77%
38 73s T8763 flush 4 0.01% 1 : 15515 99.76%
39 72s T8762 flush 4 0.01% 1 : 15515 99.76%
40 54s T8654 flush 4 0.01% 1 : 15515 99.75%
41 53s T8653 flush 4 0.01% 1 : 15515 99.74%
42 52s T8652 flush 4 0.01% 1 : 15515 99.74%
43 43s T8643 flush 4 0.01% 1 : 15515 99.73%
44 42s T8642 flush 4 0.01% 1 : 15515 99.72%
45 32s T8632 flush 4 0.01% 1 : 15515 99.72%
 
46 97 T9876 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 TT TTT86 three of a kind 64 0.10% 1 : 969 98.07%
48 88 T8886 three of a kind 64 0.10% 1 : 969 97.96%
49 66 T8666 three of a kind 64 0.10% 1 : 969 97.86%
 
50 T8 TT886 two pairs 144 0.23% 1 : 430 97.76%
51 T6 TT866 two pairs 144 0.23% 1 : 430 97.53%
52 86 T8866 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAT86 one pair 384 0.62% 1 : 161 97.06%
54 KK KKT86 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQT86 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJT86 one pair 384 0.62% 1 : 161 95.20%
57 AT ATT86 one pair 384 0.62% 1 : 161 94.59%
58 KT KTT86 one pair 384 0.62% 1 : 161 93.97%
59 QT QTT86 one pair 384 0.62% 1 : 161 93.35%
60 JT JTT86 one pair 384 0.62% 1 : 161 92.73%
61 T9 TT986 one pair 384 0.62% 1 : 161 92.11%
62 T7 TT876 one pair 384 0.62% 1 : 161 91.49%
63 T5 TT865 one pair 384 0.62% 1 : 161 90.87%
64 T4 TT864 one pair 384 0.62% 1 : 161 90.26%
65 T3 TT863 one pair 384 0.62% 1 : 161 89.64%
66 T2 TT862 one pair 384 0.62% 1 : 161 89.02%
67 99 T9986 one pair 384 0.62% 1 : 161 88.40%
68 A8 AT886 one pair 384 0.62% 1 : 161 87.78%
69 K8 KT886 one pair 384 0.62% 1 : 161 87.16%
70 Q8 QT886 one pair 384 0.62% 1 : 161 86.54%
71 J8 JT886 one pair 384 0.62% 1 : 161 85.92%
72 98 T9886 one pair 384 0.62% 1 : 161 85.31%
73 87 T8876 one pair 384 0.62% 1 : 161 84.69%
74 85 T8865 one pair 384 0.62% 1 : 161 84.07%
75 84 T8864 one pair 384 0.62% 1 : 161 83.45%
76 83 T8863 one pair 384 0.62% 1 : 161 82.83%
77 82 T8862 one pair 384 0.62% 1 : 161 82.21%
78 77 T8776 one pair 384 0.62% 1 : 161 81.59%
79 A6 AT866 one pair 384 0.62% 1 : 161 80.97%
80 K6 KT866 one pair 384 0.62% 1 : 161 80.36%
81 Q6 QT866 one pair 384 0.62% 1 : 161 79.74%
82 J6 JT866 one pair 384 0.62% 1 : 161 79.12%
83 96 T9866 one pair 384 0.62% 1 : 161 78.50%
84 76 T8766 one pair 384 0.62% 1 : 161 77.88%
85 65 T8665 one pair 384 0.62% 1 : 161 77.26%
86 64 T8664 one pair 384 0.62% 1 : 161 76.64%
87 63 T8663 one pair 384 0.62% 1 : 161 76.02%
88 62 T8662 one pair 384 0.62% 1 : 161 75.41%
89 55 T8655 one pair 384 0.62% 1 : 161 74.79%
90 44 T8644 one pair 384 0.62% 1 : 161 74.17%
91 33 T8633 one pair 384 0.62% 1 : 161 73.55%
92 22 T8622 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKT86 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQT86 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJT86 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 AT986 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT876 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT865 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT864 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT863 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AT862 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQT86 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJT86 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 KT986 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT876 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT865 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT864 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT863 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KT862 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 QT986 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT876 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT865 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT864 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT863 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QT862 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 JT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT876 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT865 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT864 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT863 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 JT862 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 T9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 T9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 T8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 T8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 T8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 T8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 T8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 T8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 T8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T8643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T8642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T8632 high card 1,020 1.64% 1 : 59.8 1.64%