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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 87s 87654 straight flush 4 0.01% 1 : 15515 100.00%
2 73s 76543 straight flush 4 0.01% 1 : 15515 99.99%
3 32s 65432 straight flush 4 0.01% 1 : 15515 99.99%
 
4 AKs AK654 flush 4 0.01% 1 : 15515 99.98%
5 AQs AQ654 flush 4 0.01% 1 : 15515 99.97%
6 AJs AJ654 flush 4 0.01% 1 : 15515 99.97%
7 ATs AT654 flush 4 0.01% 1 : 15515 99.96%
8 A9s A9654 flush 4 0.01% 1 : 15515 99.95%
9 A8s A8654 flush 4 0.01% 1 : 15515 99.95%
10 A7s A7654 flush 4 0.01% 1 : 15515 99.94%
11 A3s A6543 flush 4 0.01% 1 : 15515 99.94%
12 A2s A6542 flush 4 0.01% 1 : 15515 99.93%
13 KQs KQ654 flush 4 0.01% 1 : 15515 99.92%
14 KJs KJ654 flush 4 0.01% 1 : 15515 99.92%
15 KTs KT654 flush 4 0.01% 1 : 15515 99.91%
16 K9s K9654 flush 4 0.01% 1 : 15515 99.90%
17 K8s K8654 flush 4 0.01% 1 : 15515 99.90%
18 K7s K7654 flush 4 0.01% 1 : 15515 99.89%
19 K3s K6543 flush 4 0.01% 1 : 15515 99.88%
20 K2s K6542 flush 4 0.01% 1 : 15515 99.88%
21 QJs QJ654 flush 4 0.01% 1 : 15515 99.87%
22 QTs QT654 flush 4 0.01% 1 : 15515 99.86%
23 Q9s Q9654 flush 4 0.01% 1 : 15515 99.86%
24 Q8s Q8654 flush 4 0.01% 1 : 15515 99.85%
25 Q7s Q7654 flush 4 0.01% 1 : 15515 99.85%
26 Q3s Q6543 flush 4 0.01% 1 : 15515 99.84%
27 Q2s Q6542 flush 4 0.01% 1 : 15515 99.83%
28 JTs JT654 flush 4 0.01% 1 : 15515 99.83%
29 J9s J9654 flush 4 0.01% 1 : 15515 99.82%
30 J8s J8654 flush 4 0.01% 1 : 15515 99.81%
31 J7s J7654 flush 4 0.01% 1 : 15515 99.81%
32 J3s J6543 flush 4 0.01% 1 : 15515 99.80%
33 J2s J6542 flush 4 0.01% 1 : 15515 99.79%
34 T9s T9654 flush 4 0.01% 1 : 15515 99.79%
35 T8s T8654 flush 4 0.01% 1 : 15515 99.78%
36 T7s T7654 flush 4 0.01% 1 : 15515 99.77%
37 T3s T6543 flush 4 0.01% 1 : 15515 99.77%
38 T2s T6542 flush 4 0.01% 1 : 15515 99.76%
39 98s 98654 flush 4 0.01% 1 : 15515 99.76%
40 97s 97654 flush 4 0.01% 1 : 15515 99.75%
41 93s 96543 flush 4 0.01% 1 : 15515 99.74%
42 92s 96542 flush 4 0.01% 1 : 15515 99.74%
43 83s 86543 flush 4 0.01% 1 : 15515 99.73%
44 82s 86542 flush 4 0.01% 1 : 15515 99.72%
45 72s 76542 flush 4 0.01% 1 : 15515 99.72%
 
46 87 87654 straight 1,020 1.64% 1 : 59.8 99.71%
47 73 76543 straight 1,020 1.64% 1 : 59.8 98.07%
48 32 65432 straight 1,020 1.64% 1 : 59.8 96.42%
 
49 66 66654 three of a kind 64 0.10% 1 : 969 94.78%
50 55 65554 three of a kind 64 0.10% 1 : 969 94.68%
51 44 65444 three of a kind 64 0.10% 1 : 969 94.57%
 
52 65 66554 two pairs 144 0.23% 1 : 430 94.47%
53 64 66544 two pairs 144 0.23% 1 : 430 94.24%
54 54 65544 two pairs 144 0.23% 1 : 430 94.01%
 
55 AA AA654 one pair 384 0.62% 1 : 161 93.77%
56 KK KK654 one pair 384 0.62% 1 : 161 93.16%
57 QQ QQ654 one pair 384 0.62% 1 : 161 92.54%
58 JJ JJ654 one pair 384 0.62% 1 : 161 91.92%
59 TT TT654 one pair 384 0.62% 1 : 161 91.30%
60 99 99654 one pair 384 0.62% 1 : 161 90.68%
61 88 88654 one pair 384 0.62% 1 : 161 90.06%
62 77 77654 one pair 384 0.62% 1 : 161 89.44%
63 A6 A6654 one pair 384 0.62% 1 : 161 88.82%
64 K6 K6654 one pair 384 0.62% 1 : 161 88.21%
65 Q6 Q6654 one pair 384 0.62% 1 : 161 87.59%
66 J6 J6654 one pair 384 0.62% 1 : 161 86.97%
67 T6 T6654 one pair 384 0.62% 1 : 161 86.35%
68 96 96654 one pair 384 0.62% 1 : 161 85.73%
69 86 86654 one pair 384 0.62% 1 : 161 85.11%
70 76 76654 one pair 384 0.62% 1 : 161 84.49%
71 63 66543 one pair 384 0.62% 1 : 161 83.87%
72 62 66542 one pair 384 0.62% 1 : 161 83.26%
73 A5 A6554 one pair 384 0.62% 1 : 161 82.64%
74 K5 K6554 one pair 384 0.62% 1 : 161 82.02%
75 Q5 Q6554 one pair 384 0.62% 1 : 161 81.40%
76 J5 J6554 one pair 384 0.62% 1 : 161 80.78%
77 T5 T6554 one pair 384 0.62% 1 : 161 80.16%
78 95 96554 one pair 384 0.62% 1 : 161 79.54%
79 85 86554 one pair 384 0.62% 1 : 161 78.92%
80 75 76554 one pair 384 0.62% 1 : 161 78.31%
81 53 65543 one pair 384 0.62% 1 : 161 77.69%
82 52 65542 one pair 384 0.62% 1 : 161 77.07%
83 A4 A6544 one pair 384 0.62% 1 : 161 76.45%
84 K4 K6544 one pair 384 0.62% 1 : 161 75.83%
85 Q4 Q6544 one pair 384 0.62% 1 : 161 75.21%
86 J4 J6544 one pair 384 0.62% 1 : 161 74.59%
87 T4 T6544 one pair 384 0.62% 1 : 161 73.98%
88 94 96544 one pair 384 0.62% 1 : 161 73.36%
89 84 86544 one pair 384 0.62% 1 : 161 72.74%
90 74 76544 one pair 384 0.62% 1 : 161 72.12%
91 43 65443 one pair 384 0.62% 1 : 161 71.50%
92 42 65442 one pair 384 0.62% 1 : 161 70.88%
93 33 65433 one pair 384 0.62% 1 : 161 70.26%
94 22 65422 one pair 384 0.62% 1 : 161 69.64%
 
95 AK AK654 high card 1,020 1.64% 1 : 59.8 69.03%
96 AQ AQ654 high card 1,020 1.64% 1 : 59.8 67.38%
97 AJ AJ654 high card 1,020 1.64% 1 : 59.8 65.74%
98 AT AT654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A9 A9654 high card 1,020 1.64% 1 : 59.8 62.45%
100 A8 A8654 high card 1,020 1.64% 1 : 59.8 60.81%
101 A7 A7654 high card 1,020 1.64% 1 : 59.8 59.16%
102 A3 A6543 high card 1,020 1.64% 1 : 59.8 57.52%
103 A2 A6542 high card 1,020 1.64% 1 : 59.8 55.88%
104 KQ KQ654 high card 1,020 1.64% 1 : 59.8 54.23%
105 KJ KJ654 high card 1,020 1.64% 1 : 59.8 52.59%
106 KT KT654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K9 K9654 high card 1,020 1.64% 1 : 59.8 49.30%
108 K8 K8654 high card 1,020 1.64% 1 : 59.8 47.66%
109 K7 K7654 high card 1,020 1.64% 1 : 59.8 46.02%
110 K3 K6543 high card 1,020 1.64% 1 : 59.8 44.37%
111 K2 K6542 high card 1,020 1.64% 1 : 59.8 42.73%
112 QJ QJ654 high card 1,020 1.64% 1 : 59.8 41.09%
113 QT QT654 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q9 Q9654 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q8 Q8654 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q7 Q7654 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q3 Q6543 high card 1,020 1.64% 1 : 59.8 32.87%
118 Q2 Q6542 high card 1,020 1.64% 1 : 59.8 31.23%
119 JT JT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 J9 J9654 high card 1,020 1.64% 1 : 59.8 27.94%
121 J8 J8654 high card 1,020 1.64% 1 : 59.8 26.30%
122 J7 J7654 high card 1,020 1.64% 1 : 59.8 24.65%
123 J3 J6543 high card 1,020 1.64% 1 : 59.8 23.01%
124 J2 J6542 high card 1,020 1.64% 1 : 59.8 21.37%
125 T9 T9654 high card 1,020 1.64% 1 : 59.8 19.72%
126 T8 T8654 high card 1,020 1.64% 1 : 59.8 18.08%
127 T7 T7654 high card 1,020 1.64% 1 : 59.8 16.43%
128 T3 T6543 high card 1,020 1.64% 1 : 59.8 14.79%
129 T2 T6542 high card 1,020 1.64% 1 : 59.8 13.15%
130 98 98654 high card 1,020 1.64% 1 : 59.8 11.50%
131 97 97654 high card 1,020 1.64% 1 : 59.8 9.86%
132 93 96543 high card 1,020 1.64% 1 : 59.8 8.22%
133 92 96542 high card 1,020 1.64% 1 : 59.8 6.57%
134 83 86543 high card 1,020 1.64% 1 : 59.8 4.93%
135 82 86542 high card 1,020 1.64% 1 : 59.8 3.29%
136 72 76542 high card 1,020 1.64% 1 : 59.8 1.64%