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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 97s 98765 straight flush 4 0.01% 1 : 15515 100.00%
2 74s 87654 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AK865 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQ865 flush 4 0.01% 1 : 15515 99.98%
5 AJs AJ865 flush 4 0.01% 1 : 15515 99.97%
6 ATs AT865 flush 4 0.01% 1 : 15515 99.97%
7 A9s A9865 flush 4 0.01% 1 : 15515 99.96%
8 A7s A8765 flush 4 0.01% 1 : 15515 99.95%
9 A4s A8654 flush 4 0.01% 1 : 15515 99.95%
10 A3s A8653 flush 4 0.01% 1 : 15515 99.94%
11 A2s A8652 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQ865 flush 4 0.01% 1 : 15515 99.93%
13 KJs KJ865 flush 4 0.01% 1 : 15515 99.92%
14 KTs KT865 flush 4 0.01% 1 : 15515 99.92%
15 K9s K9865 flush 4 0.01% 1 : 15515 99.91%
16 K7s K8765 flush 4 0.01% 1 : 15515 99.90%
17 K4s K8654 flush 4 0.01% 1 : 15515 99.90%
18 K3s K8653 flush 4 0.01% 1 : 15515 99.89%
19 K2s K8652 flush 4 0.01% 1 : 15515 99.88%
20 QJs QJ865 flush 4 0.01% 1 : 15515 99.88%
21 QTs QT865 flush 4 0.01% 1 : 15515 99.87%
22 Q9s Q9865 flush 4 0.01% 1 : 15515 99.86%
23 Q7s Q8765 flush 4 0.01% 1 : 15515 99.86%
24 Q4s Q8654 flush 4 0.01% 1 : 15515 99.85%
25 Q3s Q8653 flush 4 0.01% 1 : 15515 99.85%
26 Q2s Q8652 flush 4 0.01% 1 : 15515 99.84%
27 JTs JT865 flush 4 0.01% 1 : 15515 99.83%
28 J9s J9865 flush 4 0.01% 1 : 15515 99.83%
29 J7s J8765 flush 4 0.01% 1 : 15515 99.82%
30 J4s J8654 flush 4 0.01% 1 : 15515 99.81%
31 J3s J8653 flush 4 0.01% 1 : 15515 99.81%
32 J2s J8652 flush 4 0.01% 1 : 15515 99.80%
33 T9s T9865 flush 4 0.01% 1 : 15515 99.79%
34 T7s T8765 flush 4 0.01% 1 : 15515 99.79%
35 T4s T8654 flush 4 0.01% 1 : 15515 99.78%
36 T3s T8653 flush 4 0.01% 1 : 15515 99.77%
37 T2s T8652 flush 4 0.01% 1 : 15515 99.77%
38 94s 98654 flush 4 0.01% 1 : 15515 99.76%
39 93s 98653 flush 4 0.01% 1 : 15515 99.76%
40 92s 98652 flush 4 0.01% 1 : 15515 99.75%
41 73s 87653 flush 4 0.01% 1 : 15515 99.74%
42 72s 87652 flush 4 0.01% 1 : 15515 99.74%
43 43s 86543 flush 4 0.01% 1 : 15515 99.73%
44 42s 86542 flush 4 0.01% 1 : 15515 99.72%
45 32s 86532 flush 4 0.01% 1 : 15515 99.72%
 
46 97 98765 straight 1,020 1.64% 1 : 59.8 99.71%
47 74 87654 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 88 88865 three of a kind 64 0.10% 1 : 969 96.42%
49 66 86665 three of a kind 64 0.10% 1 : 969 96.32%
50 55 86555 three of a kind 64 0.10% 1 : 969 96.22%
 
51 86 88665 two pairs 144 0.23% 1 : 430 96.11%
52 85 88655 two pairs 144 0.23% 1 : 430 95.88%
53 65 86655 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AA865 one pair 384 0.62% 1 : 161 95.42%
55 KK KK865 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQ865 one pair 384 0.62% 1 : 161 94.18%
57 JJ JJ865 one pair 384 0.62% 1 : 161 93.56%
58 TT TT865 one pair 384 0.62% 1 : 161 92.94%
59 99 99865 one pair 384 0.62% 1 : 161 92.32%
60 A8 A8865 one pair 384 0.62% 1 : 161 91.71%
61 K8 K8865 one pair 384 0.62% 1 : 161 91.09%
62 Q8 Q8865 one pair 384 0.62% 1 : 161 90.47%
63 J8 J8865 one pair 384 0.62% 1 : 161 89.85%
64 T8 T8865 one pair 384 0.62% 1 : 161 89.23%
65 98 98865 one pair 384 0.62% 1 : 161 88.61%
66 87 88765 one pair 384 0.62% 1 : 161 87.99%
67 84 88654 one pair 384 0.62% 1 : 161 87.37%
68 83 88653 one pair 384 0.62% 1 : 161 86.76%
69 82 88652 one pair 384 0.62% 1 : 161 86.14%
70 77 87765 one pair 384 0.62% 1 : 161 85.52%
71 A6 A8665 one pair 384 0.62% 1 : 161 84.90%
72 K6 K8665 one pair 384 0.62% 1 : 161 84.28%
73 Q6 Q8665 one pair 384 0.62% 1 : 161 83.66%
74 J6 J8665 one pair 384 0.62% 1 : 161 83.04%
75 T6 T8665 one pair 384 0.62% 1 : 161 82.42%
76 96 98665 one pair 384 0.62% 1 : 161 81.81%
77 76 87665 one pair 384 0.62% 1 : 161 81.19%
78 64 86654 one pair 384 0.62% 1 : 161 80.57%
79 63 86653 one pair 384 0.62% 1 : 161 79.95%
80 62 86652 one pair 384 0.62% 1 : 161 79.33%
81 A5 A8655 one pair 384 0.62% 1 : 161 78.71%
82 K5 K8655 one pair 384 0.62% 1 : 161 78.09%
83 Q5 Q8655 one pair 384 0.62% 1 : 161 77.47%
84 J5 J8655 one pair 384 0.62% 1 : 161 76.86%
85 T5 T8655 one pair 384 0.62% 1 : 161 76.24%
86 95 98655 one pair 384 0.62% 1 : 161 75.62%
87 75 87655 one pair 384 0.62% 1 : 161 75.00%
88 54 86554 one pair 384 0.62% 1 : 161 74.38%
89 53 86553 one pair 384 0.62% 1 : 161 73.76%
90 52 86552 one pair 384 0.62% 1 : 161 73.14%
91 44 86544 one pair 384 0.62% 1 : 161 72.53%
92 33 86533 one pair 384 0.62% 1 : 161 71.91%
93 22 86522 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AK865 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQ865 high card 1,020 1.64% 1 : 59.8 69.03%
96 AJ AJ865 high card 1,020 1.64% 1 : 59.8 67.38%
97 AT AT865 high card 1,020 1.64% 1 : 59.8 65.74%
98 A9 A9865 high card 1,020 1.64% 1 : 59.8 64.10%
99 A7 A8765 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 A8654 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 A8653 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 A8652 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQ865 high card 1,020 1.64% 1 : 59.8 55.88%
104 KJ KJ865 high card 1,020 1.64% 1 : 59.8 54.23%
105 KT KT865 high card 1,020 1.64% 1 : 59.8 52.59%
106 K9 K9865 high card 1,020 1.64% 1 : 59.8 50.95%
107 K7 K8765 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 K8654 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 K8653 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 K8652 high card 1,020 1.64% 1 : 59.8 44.37%
111 QJ QJ865 high card 1,020 1.64% 1 : 59.8 42.73%
112 QT QT865 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q9 Q9865 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q7 Q8765 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 Q8654 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 Q8653 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 Q8652 high card 1,020 1.64% 1 : 59.8 32.87%
118 JT JT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 J9 J9865 high card 1,020 1.64% 1 : 59.8 29.58%
120 J7 J8765 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 J8654 high card 1,020 1.64% 1 : 59.8 26.30%
122 J3 J8653 high card 1,020 1.64% 1 : 59.8 24.65%
123 J2 J8652 high card 1,020 1.64% 1 : 59.8 23.01%
124 T9 T9865 high card 1,020 1.64% 1 : 59.8 21.37%
125 T7 T8765 high card 1,020 1.64% 1 : 59.8 19.72%
126 T4 T8654 high card 1,020 1.64% 1 : 59.8 18.08%
127 T3 T8653 high card 1,020 1.64% 1 : 59.8 16.43%
128 T2 T8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 98654 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 98653 high card 1,020 1.64% 1 : 59.8 11.50%
131 92 98652 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 87653 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 87652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 86543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 86542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 86532 high card 1,020 1.64% 1 : 59.8 1.64%