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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 87s T9876 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKT96 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQT96 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJT96 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT986 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT976 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT965 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT964 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT963 flush 4 0.01% 1 : 15515 99.95%
10 A2s AT962 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQT96 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJT96 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT986 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT976 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT965 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT964 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT963 flush 4 0.01% 1 : 15515 99.90%
18 K2s KT962 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJT96 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT986 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT976 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT965 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT964 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT963 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QT962 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT986 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT976 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT965 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT964 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT963 flush 4 0.01% 1 : 15515 99.81%
31 J2s JT962 flush 4 0.01% 1 : 15515 99.81%
32 85s T9865 flush 4 0.01% 1 : 15515 99.80%
33 84s T9864 flush 4 0.01% 1 : 15515 99.79%
34 83s T9863 flush 4 0.01% 1 : 15515 99.79%
35 82s T9862 flush 4 0.01% 1 : 15515 99.78%
36 75s T9765 flush 4 0.01% 1 : 15515 99.77%
37 74s T9764 flush 4 0.01% 1 : 15515 99.77%
38 73s T9763 flush 4 0.01% 1 : 15515 99.76%
39 72s T9762 flush 4 0.01% 1 : 15515 99.76%
40 54s T9654 flush 4 0.01% 1 : 15515 99.75%
41 53s T9653 flush 4 0.01% 1 : 15515 99.74%
42 52s T9652 flush 4 0.01% 1 : 15515 99.74%
43 43s T9643 flush 4 0.01% 1 : 15515 99.73%
44 42s T9642 flush 4 0.01% 1 : 15515 99.72%
45 32s T9632 flush 4 0.01% 1 : 15515 99.72%
 
46 87 T9876 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 TT TTT96 three of a kind 64 0.10% 1 : 969 98.07%
48 99 T9996 three of a kind 64 0.10% 1 : 969 97.96%
49 66 T9666 three of a kind 64 0.10% 1 : 969 97.86%
 
50 T9 TT996 two pairs 144 0.23% 1 : 430 97.76%
51 T6 TT966 two pairs 144 0.23% 1 : 430 97.53%
52 96 T9966 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAT96 one pair 384 0.62% 1 : 161 97.06%
54 KK KKT96 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQT96 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJT96 one pair 384 0.62% 1 : 161 95.20%
57 AT ATT96 one pair 384 0.62% 1 : 161 94.59%
58 KT KTT96 one pair 384 0.62% 1 : 161 93.97%
59 QT QTT96 one pair 384 0.62% 1 : 161 93.35%
60 JT JTT96 one pair 384 0.62% 1 : 161 92.73%
61 T8 TT986 one pair 384 0.62% 1 : 161 92.11%
62 T7 TT976 one pair 384 0.62% 1 : 161 91.49%
63 T5 TT965 one pair 384 0.62% 1 : 161 90.87%
64 T4 TT964 one pair 384 0.62% 1 : 161 90.26%
65 T3 TT963 one pair 384 0.62% 1 : 161 89.64%
66 T2 TT962 one pair 384 0.62% 1 : 161 89.02%
67 A9 AT996 one pair 384 0.62% 1 : 161 88.40%
68 K9 KT996 one pair 384 0.62% 1 : 161 87.78%
69 Q9 QT996 one pair 384 0.62% 1 : 161 87.16%
70 J9 JT996 one pair 384 0.62% 1 : 161 86.54%
71 98 T9986 one pair 384 0.62% 1 : 161 85.92%
72 97 T9976 one pair 384 0.62% 1 : 161 85.31%
73 95 T9965 one pair 384 0.62% 1 : 161 84.69%
74 94 T9964 one pair 384 0.62% 1 : 161 84.07%
75 93 T9963 one pair 384 0.62% 1 : 161 83.45%
76 92 T9962 one pair 384 0.62% 1 : 161 82.83%
77 88 T9886 one pair 384 0.62% 1 : 161 82.21%
78 77 T9776 one pair 384 0.62% 1 : 161 81.59%
79 A6 AT966 one pair 384 0.62% 1 : 161 80.97%
80 K6 KT966 one pair 384 0.62% 1 : 161 80.36%
81 Q6 QT966 one pair 384 0.62% 1 : 161 79.74%
82 J6 JT966 one pair 384 0.62% 1 : 161 79.12%
83 86 T9866 one pair 384 0.62% 1 : 161 78.50%
84 76 T9766 one pair 384 0.62% 1 : 161 77.88%
85 65 T9665 one pair 384 0.62% 1 : 161 77.26%
86 64 T9664 one pair 384 0.62% 1 : 161 76.64%
87 63 T9663 one pair 384 0.62% 1 : 161 76.02%
88 62 T9662 one pair 384 0.62% 1 : 161 75.41%
89 55 T9655 one pair 384 0.62% 1 : 161 74.79%
90 44 T9644 one pair 384 0.62% 1 : 161 74.17%
91 33 T9633 one pair 384 0.62% 1 : 161 73.55%
92 22 T9622 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKT96 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJT96 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT986 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT976 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT965 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT964 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT963 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AT962 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJT96 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT986 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT976 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT965 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT964 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT963 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KT962 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJT96 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT986 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT976 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT965 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT964 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT963 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QT962 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT976 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT965 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT964 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT963 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 JT962 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 T9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 T9864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 T9863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 T9862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 T9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 T9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 T9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 T9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 T9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 T9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 T9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T9643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T9642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T9632 high card 1,020 1.64% 1 : 59.8 1.64%