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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 54s 76543 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AK763 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQ763 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJ763 flush 4 0.01% 1 : 15515 99.98%
5 ATs AT763 flush 4 0.01% 1 : 15515 99.97%
6 A9s A9763 flush 4 0.01% 1 : 15515 99.97%
7 A8s A8763 flush 4 0.01% 1 : 15515 99.96%
8 A5s A7653 flush 4 0.01% 1 : 15515 99.95%
9 A4s A7643 flush 4 0.01% 1 : 15515 99.95%
10 A2s A7632 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQ763 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJ763 flush 4 0.01% 1 : 15515 99.93%
13 KTs KT763 flush 4 0.01% 1 : 15515 99.92%
14 K9s K9763 flush 4 0.01% 1 : 15515 99.92%
15 K8s K8763 flush 4 0.01% 1 : 15515 99.91%
16 K5s K7653 flush 4 0.01% 1 : 15515 99.90%
17 K4s K7643 flush 4 0.01% 1 : 15515 99.90%
18 K2s K7632 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJ763 flush 4 0.01% 1 : 15515 99.88%
20 QTs QT763 flush 4 0.01% 1 : 15515 99.88%
21 Q9s Q9763 flush 4 0.01% 1 : 15515 99.87%
22 Q8s Q8763 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q7653 flush 4 0.01% 1 : 15515 99.86%
24 Q4s Q7643 flush 4 0.01% 1 : 15515 99.85%
25 Q2s Q7632 flush 4 0.01% 1 : 15515 99.85%
26 JTs JT763 flush 4 0.01% 1 : 15515 99.84%
27 J9s J9763 flush 4 0.01% 1 : 15515 99.83%
28 J8s J8763 flush 4 0.01% 1 : 15515 99.83%
29 J5s J7653 flush 4 0.01% 1 : 15515 99.82%
30 J4s J7643 flush 4 0.01% 1 : 15515 99.81%
31 J2s J7632 flush 4 0.01% 1 : 15515 99.81%
32 T9s T9763 flush 4 0.01% 1 : 15515 99.80%
33 T8s T8763 flush 4 0.01% 1 : 15515 99.79%
34 T5s T7653 flush 4 0.01% 1 : 15515 99.79%
35 T4s T7643 flush 4 0.01% 1 : 15515 99.78%
36 T2s T7632 flush 4 0.01% 1 : 15515 99.77%
37 98s 98763 flush 4 0.01% 1 : 15515 99.77%
38 95s 97653 flush 4 0.01% 1 : 15515 99.76%
39 94s 97643 flush 4 0.01% 1 : 15515 99.76%
40 92s 97632 flush 4 0.01% 1 : 15515 99.75%
41 85s 87653 flush 4 0.01% 1 : 15515 99.74%
42 84s 87643 flush 4 0.01% 1 : 15515 99.74%
43 82s 87632 flush 4 0.01% 1 : 15515 99.73%
44 52s 76532 flush 4 0.01% 1 : 15515 99.72%
45 42s 76432 flush 4 0.01% 1 : 15515 99.72%
 
46 54 76543 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 77 77763 three of a kind 64 0.10% 1 : 969 98.07%
48 66 76663 three of a kind 64 0.10% 1 : 969 97.96%
49 33 76333 three of a kind 64 0.10% 1 : 969 97.86%
 
50 76 77663 two pairs 144 0.23% 1 : 430 97.76%
51 73 77633 two pairs 144 0.23% 1 : 430 97.53%
52 63 76633 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AA763 one pair 384 0.62% 1 : 161 97.06%
54 KK KK763 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQ763 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJ763 one pair 384 0.62% 1 : 161 95.20%
57 TT TT763 one pair 384 0.62% 1 : 161 94.59%
58 99 99763 one pair 384 0.62% 1 : 161 93.97%
59 88 88763 one pair 384 0.62% 1 : 161 93.35%
60 A7 A7763 one pair 384 0.62% 1 : 161 92.73%
61 K7 K7763 one pair 384 0.62% 1 : 161 92.11%
62 Q7 Q7763 one pair 384 0.62% 1 : 161 91.49%
63 J7 J7763 one pair 384 0.62% 1 : 161 90.87%
64 T7 T7763 one pair 384 0.62% 1 : 161 90.26%
65 97 97763 one pair 384 0.62% 1 : 161 89.64%
66 87 87763 one pair 384 0.62% 1 : 161 89.02%
67 75 77653 one pair 384 0.62% 1 : 161 88.40%
68 74 77643 one pair 384 0.62% 1 : 161 87.78%
69 72 77632 one pair 384 0.62% 1 : 161 87.16%
70 A6 A7663 one pair 384 0.62% 1 : 161 86.54%
71 K6 K7663 one pair 384 0.62% 1 : 161 85.92%
72 Q6 Q7663 one pair 384 0.62% 1 : 161 85.31%
73 J6 J7663 one pair 384 0.62% 1 : 161 84.69%
74 T6 T7663 one pair 384 0.62% 1 : 161 84.07%
75 96 97663 one pair 384 0.62% 1 : 161 83.45%
76 86 87663 one pair 384 0.62% 1 : 161 82.83%
77 65 76653 one pair 384 0.62% 1 : 161 82.21%
78 64 76643 one pair 384 0.62% 1 : 161 81.59%
79 62 76632 one pair 384 0.62% 1 : 161 80.97%
80 55 76553 one pair 384 0.62% 1 : 161 80.36%
81 44 76443 one pair 384 0.62% 1 : 161 79.74%
82 A3 A7633 one pair 384 0.62% 1 : 161 79.12%
83 K3 K7633 one pair 384 0.62% 1 : 161 78.50%
84 Q3 Q7633 one pair 384 0.62% 1 : 161 77.88%
85 J3 J7633 one pair 384 0.62% 1 : 161 77.26%
86 T3 T7633 one pair 384 0.62% 1 : 161 76.64%
87 93 97633 one pair 384 0.62% 1 : 161 76.02%
88 83 87633 one pair 384 0.62% 1 : 161 75.41%
89 53 76533 one pair 384 0.62% 1 : 161 74.79%
90 43 76433 one pair 384 0.62% 1 : 161 74.17%
91 32 76332 one pair 384 0.62% 1 : 161 73.55%
92 22 76322 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AK763 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQ763 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJ763 high card 1,020 1.64% 1 : 59.8 69.03%
96 AT AT763 high card 1,020 1.64% 1 : 59.8 67.38%
97 A9 A9763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A8 A8763 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A7653 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 A7643 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 A7632 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQ763 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJ763 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KT763 high card 1,020 1.64% 1 : 59.8 54.23%
105 K9 K9763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K8 K8763 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K7653 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 K7643 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 K7632 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJ763 high card 1,020 1.64% 1 : 59.8 44.37%
111 QT QT763 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q9 Q9763 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q8 Q8763 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q7653 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 Q7643 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 Q7632 high card 1,020 1.64% 1 : 59.8 34.51%
117 JT JT763 high card 1,020 1.64% 1 : 59.8 32.87%
118 J9 J9763 high card 1,020 1.64% 1 : 59.8 31.23%
119 J8 J8763 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J7653 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 J7643 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 J7632 high card 1,020 1.64% 1 : 59.8 24.65%
123 T9 T9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 T8 T8763 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T7653 high card 1,020 1.64% 1 : 59.8 19.72%
126 T4 T7643 high card 1,020 1.64% 1 : 59.8 18.08%
127 T2 T7632 high card 1,020 1.64% 1 : 59.8 16.43%
128 98 98763 high card 1,020 1.64% 1 : 59.8 14.79%
129 95 97653 high card 1,020 1.64% 1 : 59.8 13.15%
130 94 97643 high card 1,020 1.64% 1 : 59.8 11.50%
131 92 97632 high card 1,020 1.64% 1 : 59.8 9.86%
132 85 87653 high card 1,020 1.64% 1 : 59.8 8.22%
133 84 87643 high card 1,020 1.64% 1 : 59.8 6.57%
134 82 87632 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 76532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 76432 high card 1,020 1.64% 1 : 59.8 1.64%