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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 T7s T9876 straight flush 4 0.01% 1 : 15515 100.00%
2 75s 98765 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AK986 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQ986 flush 4 0.01% 1 : 15515 99.98%
5 AJs AJ986 flush 4 0.01% 1 : 15515 99.97%
6 ATs AT986 flush 4 0.01% 1 : 15515 99.97%
7 A7s A9876 flush 4 0.01% 1 : 15515 99.96%
8 A5s A9865 flush 4 0.01% 1 : 15515 99.95%
9 A4s A9864 flush 4 0.01% 1 : 15515 99.95%
10 A3s A9863 flush 4 0.01% 1 : 15515 99.94%
11 A2s A9862 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQ986 flush 4 0.01% 1 : 15515 99.93%
13 KJs KJ986 flush 4 0.01% 1 : 15515 99.92%
14 KTs KT986 flush 4 0.01% 1 : 15515 99.92%
15 K7s K9876 flush 4 0.01% 1 : 15515 99.91%
16 K5s K9865 flush 4 0.01% 1 : 15515 99.90%
17 K4s K9864 flush 4 0.01% 1 : 15515 99.90%
18 K3s K9863 flush 4 0.01% 1 : 15515 99.89%
19 K2s K9862 flush 4 0.01% 1 : 15515 99.88%
20 QJs QJ986 flush 4 0.01% 1 : 15515 99.88%
21 QTs QT986 flush 4 0.01% 1 : 15515 99.87%
22 Q7s Q9876 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q9865 flush 4 0.01% 1 : 15515 99.86%
24 Q4s Q9864 flush 4 0.01% 1 : 15515 99.85%
25 Q3s Q9863 flush 4 0.01% 1 : 15515 99.85%
26 Q2s Q9862 flush 4 0.01% 1 : 15515 99.84%
27 JTs JT986 flush 4 0.01% 1 : 15515 99.83%
28 J7s J9876 flush 4 0.01% 1 : 15515 99.83%
29 J5s J9865 flush 4 0.01% 1 : 15515 99.82%
30 J4s J9864 flush 4 0.01% 1 : 15515 99.81%
31 J3s J9863 flush 4 0.01% 1 : 15515 99.81%
32 J2s J9862 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9865 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9864 flush 4 0.01% 1 : 15515 99.79%
35 T3s T9863 flush 4 0.01% 1 : 15515 99.78%
36 T2s T9862 flush 4 0.01% 1 : 15515 99.77%
37 74s 98764 flush 4 0.01% 1 : 15515 99.77%
38 73s 98763 flush 4 0.01% 1 : 15515 99.76%
39 72s 98762 flush 4 0.01% 1 : 15515 99.76%
40 54s 98654 flush 4 0.01% 1 : 15515 99.75%
41 53s 98653 flush 4 0.01% 1 : 15515 99.74%
42 52s 98652 flush 4 0.01% 1 : 15515 99.74%
43 43s 98643 flush 4 0.01% 1 : 15515 99.73%
44 42s 98642 flush 4 0.01% 1 : 15515 99.72%
45 32s 98632 flush 4 0.01% 1 : 15515 99.72%
 
46 T7 T9876 straight 1,020 1.64% 1 : 59.8 99.71%
47 75 98765 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 99 99986 three of a kind 64 0.10% 1 : 969 96.42%
49 88 98886 three of a kind 64 0.10% 1 : 969 96.32%
50 66 98666 three of a kind 64 0.10% 1 : 969 96.22%
 
51 98 99886 two pairs 144 0.23% 1 : 430 96.11%
52 96 99866 two pairs 144 0.23% 1 : 430 95.88%
53 86 98866 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AA986 one pair 384 0.62% 1 : 161 95.42%
55 KK KK986 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQ986 one pair 384 0.62% 1 : 161 94.18%
57 JJ JJ986 one pair 384 0.62% 1 : 161 93.56%
58 TT TT986 one pair 384 0.62% 1 : 161 92.94%
59 A9 A9986 one pair 384 0.62% 1 : 161 92.32%
60 K9 K9986 one pair 384 0.62% 1 : 161 91.71%
61 Q9 Q9986 one pair 384 0.62% 1 : 161 91.09%
62 J9 J9986 one pair 384 0.62% 1 : 161 90.47%
63 T9 T9986 one pair 384 0.62% 1 : 161 89.85%
64 97 99876 one pair 384 0.62% 1 : 161 89.23%
65 95 99865 one pair 384 0.62% 1 : 161 88.61%
66 94 99864 one pair 384 0.62% 1 : 161 87.99%
67 93 99863 one pair 384 0.62% 1 : 161 87.37%
68 92 99862 one pair 384 0.62% 1 : 161 86.76%
69 A8 A9886 one pair 384 0.62% 1 : 161 86.14%
70 K8 K9886 one pair 384 0.62% 1 : 161 85.52%
71 Q8 Q9886 one pair 384 0.62% 1 : 161 84.90%
72 J8 J9886 one pair 384 0.62% 1 : 161 84.28%
73 T8 T9886 one pair 384 0.62% 1 : 161 83.66%
74 87 98876 one pair 384 0.62% 1 : 161 83.04%
75 85 98865 one pair 384 0.62% 1 : 161 82.42%
76 84 98864 one pair 384 0.62% 1 : 161 81.81%
77 83 98863 one pair 384 0.62% 1 : 161 81.19%
78 82 98862 one pair 384 0.62% 1 : 161 80.57%
79 77 98776 one pair 384 0.62% 1 : 161 79.95%
80 A6 A9866 one pair 384 0.62% 1 : 161 79.33%
81 K6 K9866 one pair 384 0.62% 1 : 161 78.71%
82 Q6 Q9866 one pair 384 0.62% 1 : 161 78.09%
83 J6 J9866 one pair 384 0.62% 1 : 161 77.47%
84 T6 T9866 one pair 384 0.62% 1 : 161 76.86%
85 76 98766 one pair 384 0.62% 1 : 161 76.24%
86 65 98665 one pair 384 0.62% 1 : 161 75.62%
87 64 98664 one pair 384 0.62% 1 : 161 75.00%
88 63 98663 one pair 384 0.62% 1 : 161 74.38%
89 62 98662 one pair 384 0.62% 1 : 161 73.76%
90 55 98655 one pair 384 0.62% 1 : 161 73.14%
91 44 98644 one pair 384 0.62% 1 : 161 72.53%
92 33 98633 one pair 384 0.62% 1 : 161 71.91%
93 22 98622 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AK986 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQ986 high card 1,020 1.64% 1 : 59.8 69.03%
96 AJ AJ986 high card 1,020 1.64% 1 : 59.8 67.38%
97 AT AT986 high card 1,020 1.64% 1 : 59.8 65.74%
98 A7 A9876 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A9865 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 A9864 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 A9863 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 A9862 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQ986 high card 1,020 1.64% 1 : 59.8 55.88%
104 KJ KJ986 high card 1,020 1.64% 1 : 59.8 54.23%
105 KT KT986 high card 1,020 1.64% 1 : 59.8 52.59%
106 K7 K9876 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K9865 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 K9864 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 K9863 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 K9862 high card 1,020 1.64% 1 : 59.8 44.37%
111 QJ QJ986 high card 1,020 1.64% 1 : 59.8 42.73%
112 QT QT986 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q7 Q9876 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q9865 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 Q9864 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 Q9863 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 Q9862 high card 1,020 1.64% 1 : 59.8 32.87%
118 JT JT986 high card 1,020 1.64% 1 : 59.8 31.23%
119 J7 J9876 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J9865 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 J9864 high card 1,020 1.64% 1 : 59.8 26.30%
122 J3 J9863 high card 1,020 1.64% 1 : 59.8 24.65%
123 J2 J9862 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9865 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9864 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T9863 high card 1,020 1.64% 1 : 59.8 18.08%
127 T2 T9862 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 98764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 98763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 98762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 98654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 98653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 98652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 98643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 98642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 98632 high card 1,020 1.64% 1 : 59.8 1.64%