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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 3 12 0.02% 1 : 5171
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 42 168 0.27% 1 : 368
straight 3 3,060 4.93% 1 : 19.3
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 42 42,840 69.03% 2.23 : 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 76s 76543 straight flush 4 0.01% 1 : 15515 100.00%
2 62s 65432 straight flush 4 0.01% 1 : 15515 99.99%
3 A2s A5432 straight flush 4 0.01% 1 : 15515 99.99%
 
4 AKs AK543 flush 4 0.01% 1 : 15515 99.98%
5 AQs AQ543 flush 4 0.01% 1 : 15515 99.97%
6 AJs AJ543 flush 4 0.01% 1 : 15515 99.97%
7 ATs AT543 flush 4 0.01% 1 : 15515 99.96%
8 A9s A9543 flush 4 0.01% 1 : 15515 99.95%
9 A8s A8543 flush 4 0.01% 1 : 15515 99.95%
10 A7s A7543 flush 4 0.01% 1 : 15515 99.94%
11 A6s A6543 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQ543 flush 4 0.01% 1 : 15515 99.93%
13 KJs KJ543 flush 4 0.01% 1 : 15515 99.92%
14 KTs KT543 flush 4 0.01% 1 : 15515 99.92%
15 K9s K9543 flush 4 0.01% 1 : 15515 99.91%
16 K8s K8543 flush 4 0.01% 1 : 15515 99.90%
17 K7s K7543 flush 4 0.01% 1 : 15515 99.90%
18 K6s K6543 flush 4 0.01% 1 : 15515 99.89%
19 K2s K5432 flush 4 0.01% 1 : 15515 99.88%
20 QJs QJ543 flush 4 0.01% 1 : 15515 99.88%
21 QTs QT543 flush 4 0.01% 1 : 15515 99.87%
22 Q9s Q9543 flush 4 0.01% 1 : 15515 99.86%
23 Q8s Q8543 flush 4 0.01% 1 : 15515 99.86%
24 Q7s Q7543 flush 4 0.01% 1 : 15515 99.85%
25 Q6s Q6543 flush 4 0.01% 1 : 15515 99.85%
26 Q2s Q5432 flush 4 0.01% 1 : 15515 99.84%
27 JTs JT543 flush 4 0.01% 1 : 15515 99.83%
28 J9s J9543 flush 4 0.01% 1 : 15515 99.83%
29 J8s J8543 flush 4 0.01% 1 : 15515 99.82%
30 J7s J7543 flush 4 0.01% 1 : 15515 99.81%
31 J6s J6543 flush 4 0.01% 1 : 15515 99.81%
32 J2s J5432 flush 4 0.01% 1 : 15515 99.80%
33 T9s T9543 flush 4 0.01% 1 : 15515 99.79%
34 T8s T8543 flush 4 0.01% 1 : 15515 99.79%
35 T7s T7543 flush 4 0.01% 1 : 15515 99.78%
36 T6s T6543 flush 4 0.01% 1 : 15515 99.77%
37 T2s T5432 flush 4 0.01% 1 : 15515 99.77%
38 98s 98543 flush 4 0.01% 1 : 15515 99.76%
39 97s 97543 flush 4 0.01% 1 : 15515 99.76%
40 96s 96543 flush 4 0.01% 1 : 15515 99.75%
41 92s 95432 flush 4 0.01% 1 : 15515 99.74%
42 87s 87543 flush 4 0.01% 1 : 15515 99.74%
43 86s 86543 flush 4 0.01% 1 : 15515 99.73%
44 82s 85432 flush 4 0.01% 1 : 15515 99.72%
45 72s 75432 flush 4 0.01% 1 : 15515 99.72%
 
46 76 76543 straight 1,020 1.64% 1 : 59.8 99.71%
47 62 65432 straight 1,020 1.64% 1 : 59.8 98.07%
48 A2 A5432 straight 1,020 1.64% 1 : 59.8 96.42%
 
49 55 55543 three of a kind 64 0.10% 1 : 969 94.78%
50 44 54443 three of a kind 64 0.10% 1 : 969 94.68%
51 33 54333 three of a kind 64 0.10% 1 : 969 94.57%
 
52 54 55443 two pairs 144 0.23% 1 : 430 94.47%
53 53 55433 two pairs 144 0.23% 1 : 430 94.24%
54 43 54433 two pairs 144 0.23% 1 : 430 94.01%
 
55 AA AA543 one pair 384 0.62% 1 : 161 93.77%
56 KK KK543 one pair 384 0.62% 1 : 161 93.16%
57 QQ QQ543 one pair 384 0.62% 1 : 161 92.54%
58 JJ JJ543 one pair 384 0.62% 1 : 161 91.92%
59 TT TT543 one pair 384 0.62% 1 : 161 91.30%
60 99 99543 one pair 384 0.62% 1 : 161 90.68%
61 88 88543 one pair 384 0.62% 1 : 161 90.06%
62 77 77543 one pair 384 0.62% 1 : 161 89.44%
63 66 66543 one pair 384 0.62% 1 : 161 88.82%
64 A5 A5543 one pair 384 0.62% 1 : 161 88.21%
65 K5 K5543 one pair 384 0.62% 1 : 161 87.59%
66 Q5 Q5543 one pair 384 0.62% 1 : 161 86.97%
67 J5 J5543 one pair 384 0.62% 1 : 161 86.35%
68 T5 T5543 one pair 384 0.62% 1 : 161 85.73%
69 95 95543 one pair 384 0.62% 1 : 161 85.11%
70 85 85543 one pair 384 0.62% 1 : 161 84.49%
71 75 75543 one pair 384 0.62% 1 : 161 83.87%
72 65 65543 one pair 384 0.62% 1 : 161 83.26%
73 52 55432 one pair 384 0.62% 1 : 161 82.64%
74 A4 A5443 one pair 384 0.62% 1 : 161 82.02%
75 K4 K5443 one pair 384 0.62% 1 : 161 81.40%
76 Q4 Q5443 one pair 384 0.62% 1 : 161 80.78%
77 J4 J5443 one pair 384 0.62% 1 : 161 80.16%
78 T4 T5443 one pair 384 0.62% 1 : 161 79.54%
79 94 95443 one pair 384 0.62% 1 : 161 78.92%
80 84 85443 one pair 384 0.62% 1 : 161 78.31%
81 74 75443 one pair 384 0.62% 1 : 161 77.69%
82 64 65443 one pair 384 0.62% 1 : 161 77.07%
83 42 54432 one pair 384 0.62% 1 : 161 76.45%
84 A3 A5433 one pair 384 0.62% 1 : 161 75.83%
85 K3 K5433 one pair 384 0.62% 1 : 161 75.21%
86 Q3 Q5433 one pair 384 0.62% 1 : 161 74.59%
87 J3 J5433 one pair 384 0.62% 1 : 161 73.98%
88 T3 T5433 one pair 384 0.62% 1 : 161 73.36%
89 93 95433 one pair 384 0.62% 1 : 161 72.74%
90 83 85433 one pair 384 0.62% 1 : 161 72.12%
91 73 75433 one pair 384 0.62% 1 : 161 71.50%
92 63 65433 one pair 384 0.62% 1 : 161 70.88%
93 32 54332 one pair 384 0.62% 1 : 161 70.26%
94 22 54322 one pair 384 0.62% 1 : 161 69.64%
 
95 AK AK543 high card 1,020 1.64% 1 : 59.8 69.03%
96 AQ AQ543 high card 1,020 1.64% 1 : 59.8 67.38%
97 AJ AJ543 high card 1,020 1.64% 1 : 59.8 65.74%
98 AT AT543 high card 1,020 1.64% 1 : 59.8 64.10%
99 A9 A9543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A8 A8543 high card 1,020 1.64% 1 : 59.8 60.81%
101 A7 A7543 high card 1,020 1.64% 1 : 59.8 59.16%
102 A6 A6543 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQ543 high card 1,020 1.64% 1 : 59.8 55.88%
104 KJ KJ543 high card 1,020 1.64% 1 : 59.8 54.23%
105 KT KT543 high card 1,020 1.64% 1 : 59.8 52.59%
106 K9 K9543 high card 1,020 1.64% 1 : 59.8 50.95%
107 K8 K8543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K7 K7543 high card 1,020 1.64% 1 : 59.8 47.66%
109 K6 K6543 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 K5432 high card 1,020 1.64% 1 : 59.8 44.37%
111 QJ QJ543 high card 1,020 1.64% 1 : 59.8 42.73%
112 QT QT543 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q9 Q9543 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q8 Q8543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q7 Q7543 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q6 Q6543 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 Q5432 high card 1,020 1.64% 1 : 59.8 32.87%
118 JT JT543 high card 1,020 1.64% 1 : 59.8 31.23%
119 J9 J9543 high card 1,020 1.64% 1 : 59.8 29.58%
120 J8 J8543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J7 J7543 high card 1,020 1.64% 1 : 59.8 26.30%
122 J6 J6543 high card 1,020 1.64% 1 : 59.8 24.65%
123 J2 J5432 high card 1,020 1.64% 1 : 59.8 23.01%
124 T9 T9543 high card 1,020 1.64% 1 : 59.8 21.37%
125 T8 T8543 high card 1,020 1.64% 1 : 59.8 19.72%
126 T7 T7543 high card 1,020 1.64% 1 : 59.8 18.08%
127 T6 T6543 high card 1,020 1.64% 1 : 59.8 16.43%
128 T2 T5432 high card 1,020 1.64% 1 : 59.8 14.79%
129 98 98543 high card 1,020 1.64% 1 : 59.8 13.15%
130 97 97543 high card 1,020 1.64% 1 : 59.8 11.50%
131 96 96543 high card 1,020 1.64% 1 : 59.8 9.86%
132 92 95432 high card 1,020 1.64% 1 : 59.8 8.22%
133 87 87543 high card 1,020 1.64% 1 : 59.8 6.57%
134 86 86543 high card 1,020 1.64% 1 : 59.8 4.93%
135 82 85432 high card 1,020 1.64% 1 : 59.8 3.29%
136 72 75432 high card 1,020 1.64% 1 : 59.8 1.64%