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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 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
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 45 45,900 73.96% 2.84 : 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 AQs AKQT2 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJT2 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKT92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKT82 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKT72 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKT62 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKT52 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKT42 flush 4 0.01% 1 : 15515 99.95%
9 A3s AKT32 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJT2 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQT92 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQT82 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQT72 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQT62 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQT52 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQT42 flush 4 0.01% 1 : 15515 99.90%
17 Q3s KQT32 flush 4 0.01% 1 : 15515 99.90%
18 J9s KJT92 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJT82 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJT72 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJT62 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJT52 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJT42 flush 4 0.01% 1 : 15515 99.86%
24 J3s KJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s KT982 flush 4 0.01% 1 : 15515 99.85%
26 97s KT972 flush 4 0.01% 1 : 15515 99.84%
27 96s KT962 flush 4 0.01% 1 : 15515 99.83%
28 95s KT952 flush 4 0.01% 1 : 15515 99.83%
29 94s KT942 flush 4 0.01% 1 : 15515 99.82%
30 93s KT932 flush 4 0.01% 1 : 15515 99.81%
31 87s KT872 flush 4 0.01% 1 : 15515 99.81%
32 86s KT862 flush 4 0.01% 1 : 15515 99.80%
33 85s KT852 flush 4 0.01% 1 : 15515 99.79%
34 84s KT842 flush 4 0.01% 1 : 15515 99.79%
35 83s KT832 flush 4 0.01% 1 : 15515 99.78%
36 76s KT762 flush 4 0.01% 1 : 15515 99.77%
37 75s KT752 flush 4 0.01% 1 : 15515 99.77%
38 74s KT742 flush 4 0.01% 1 : 15515 99.76%
39 73s KT732 flush 4 0.01% 1 : 15515 99.76%
40 65s KT652 flush 4 0.01% 1 : 15515 99.75%
41 64s KT642 flush 4 0.01% 1 : 15515 99.74%
42 63s KT632 flush 4 0.01% 1 : 15515 99.74%
43 54s KT542 flush 4 0.01% 1 : 15515 99.73%
44 53s KT532 flush 4 0.01% 1 : 15515 99.72%
45 43s KT432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKT2 three of a kind 64 0.10% 1 : 969 99.71%
47 TT KTTT2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 KT222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KT KKTT2 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KKT22 two pairs 144 0.23% 1 : 430 99.17%
51 T2 KTT22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKT2 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKT2 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQT2 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJT2 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKT92 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKT82 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKT72 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKT62 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKT52 one pair 384 0.62% 1 : 161 93.75%
61 K4 KKT42 one pair 384 0.62% 1 : 161 93.14%
62 K3 KKT32 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQT2 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJT2 one pair 384 0.62% 1 : 161 91.28%
65 AT AKTT2 one pair 384 0.62% 1 : 161 90.66%
66 QT KQTT2 one pair 384 0.62% 1 : 161 90.04%
67 JT KJTT2 one pair 384 0.62% 1 : 161 89.42%
68 T9 KTT92 one pair 384 0.62% 1 : 161 88.81%
69 T8 KTT82 one pair 384 0.62% 1 : 161 88.19%
70 T7 KTT72 one pair 384 0.62% 1 : 161 87.57%
71 T6 KTT62 one pair 384 0.62% 1 : 161 86.95%
72 T5 KTT52 one pair 384 0.62% 1 : 161 86.33%
73 T4 KTT42 one pair 384 0.62% 1 : 161 85.71%
74 T3 KTT32 one pair 384 0.62% 1 : 161 85.09%
75 99 KT992 one pair 384 0.62% 1 : 161 84.47%
76 88 KT882 one pair 384 0.62% 1 : 161 83.86%
77 77 KT772 one pair 384 0.62% 1 : 161 83.24%
78 66 KT662 one pair 384 0.62% 1 : 161 82.62%
79 55 KT552 one pair 384 0.62% 1 : 161 82.00%
80 44 KT442 one pair 384 0.62% 1 : 161 81.38%
81 33 KT332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AKT22 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQT22 one pair 384 0.62% 1 : 161 79.52%
84 J2 KJT22 one pair 384 0.62% 1 : 161 78.91%
85 92 KT922 one pair 384 0.62% 1 : 161 78.29%
86 82 KT822 one pair 384 0.62% 1 : 161 77.67%
87 72 KT722 one pair 384 0.62% 1 : 161 77.05%
88 62 KT622 one pair 384 0.62% 1 : 161 76.43%
89 52 KT522 one pair 384 0.62% 1 : 161 75.81%
90 42 KT422 one pair 384 0.62% 1 : 161 75.19%
91 32 KT322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQT2 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKT82 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKT72 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKT62 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKT52 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKT42 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AKT32 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQT82 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQT72 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQT62 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQT52 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQT42 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 KQT32 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 KJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 KJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 KT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 KT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KT872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KT862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KT852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 KT842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 KT832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KT762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KT752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 KT742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 KT732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KT652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 KT642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 KT632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 KT542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 KT532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 KT432 high card 1,020 1.64% 1 : 59.8 1.64%