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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 AKs AKJT2 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJT2 flush 4 0.01% 1 : 15515 99.99%
3 A9s AJT92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJT82 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJT72 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJT62 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJT52 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJT42 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJT32 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJT2 flush 4 0.01% 1 : 15515 99.94%
11 K9s KJT92 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJT82 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJT72 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJT62 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJT52 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJT42 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJT32 flush 4 0.01% 1 : 15515 99.90%
18 Q9s QJT92 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJT82 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJT72 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJT62 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJT52 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJT42 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s JT982 flush 4 0.01% 1 : 15515 99.85%
26 97s JT972 flush 4 0.01% 1 : 15515 99.84%
27 96s JT962 flush 4 0.01% 1 : 15515 99.83%
28 95s JT952 flush 4 0.01% 1 : 15515 99.83%
29 94s JT942 flush 4 0.01% 1 : 15515 99.82%
30 93s JT932 flush 4 0.01% 1 : 15515 99.81%
31 87s JT872 flush 4 0.01% 1 : 15515 99.81%
32 86s JT862 flush 4 0.01% 1 : 15515 99.80%
33 85s JT852 flush 4 0.01% 1 : 15515 99.79%
34 84s JT842 flush 4 0.01% 1 : 15515 99.79%
35 83s JT832 flush 4 0.01% 1 : 15515 99.78%
36 76s JT762 flush 4 0.01% 1 : 15515 99.77%
37 75s JT752 flush 4 0.01% 1 : 15515 99.77%
38 74s JT742 flush 4 0.01% 1 : 15515 99.76%
39 73s JT732 flush 4 0.01% 1 : 15515 99.76%
40 65s JT652 flush 4 0.01% 1 : 15515 99.75%
41 64s JT642 flush 4 0.01% 1 : 15515 99.74%
42 63s JT632 flush 4 0.01% 1 : 15515 99.74%
43 54s JT542 flush 4 0.01% 1 : 15515 99.73%
44 53s JT532 flush 4 0.01% 1 : 15515 99.72%
45 43s JT432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJT2 three of a kind 64 0.10% 1 : 969 99.71%
47 TT JTTT2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 JT222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 JT JJTT2 two pairs 144 0.23% 1 : 430 99.40%
50 J2 JJT22 two pairs 144 0.23% 1 : 430 99.17%
51 T2 JTT22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJT2 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJT2 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJT2 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJT2 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJT2 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJT2 one pair 384 0.62% 1 : 161 95.61%
58 J9 JJT92 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJT82 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJT72 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJT62 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJT52 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJT42 one pair 384 0.62% 1 : 161 91.90%
64 J3 JJT32 one pair 384 0.62% 1 : 161 91.28%
65 AT AJTT2 one pair 384 0.62% 1 : 161 90.66%
66 KT KJTT2 one pair 384 0.62% 1 : 161 90.04%
67 QT QJTT2 one pair 384 0.62% 1 : 161 89.42%
68 T9 JTT92 one pair 384 0.62% 1 : 161 88.81%
69 T8 JTT82 one pair 384 0.62% 1 : 161 88.19%
70 T7 JTT72 one pair 384 0.62% 1 : 161 87.57%
71 T6 JTT62 one pair 384 0.62% 1 : 161 86.95%
72 T5 JTT52 one pair 384 0.62% 1 : 161 86.33%
73 T4 JTT42 one pair 384 0.62% 1 : 161 85.71%
74 T3 JTT32 one pair 384 0.62% 1 : 161 85.09%
75 99 JT992 one pair 384 0.62% 1 : 161 84.47%
76 88 JT882 one pair 384 0.62% 1 : 161 83.86%
77 77 JT772 one pair 384 0.62% 1 : 161 83.24%
78 66 JT662 one pair 384 0.62% 1 : 161 82.62%
79 55 JT552 one pair 384 0.62% 1 : 161 82.00%
80 44 JT442 one pair 384 0.62% 1 : 161 81.38%
81 33 JT332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AJT22 one pair 384 0.62% 1 : 161 80.14%
83 K2 KJT22 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QJT22 one pair 384 0.62% 1 : 161 78.91%
85 92 JT922 one pair 384 0.62% 1 : 161 78.29%
86 82 JT822 one pair 384 0.62% 1 : 161 77.67%
87 72 JT722 one pair 384 0.62% 1 : 161 77.05%
88 62 JT622 one pair 384 0.62% 1 : 161 76.43%
89 52 JT522 one pair 384 0.62% 1 : 161 75.81%
90 42 JT422 one pair 384 0.62% 1 : 161 75.19%
91 32 JT322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJT2 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AJT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJT82 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJT72 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJT62 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJT52 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJT42 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJT32 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KJT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJT82 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJT72 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJT62 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJT52 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJT42 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJT32 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q9 QJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 JT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 JT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 JT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 JT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 JT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 JT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 JT872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 JT862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 JT852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 JT842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 JT832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 JT762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 JT752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 JT742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 JT732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 JT652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 JT642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 JT632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 JT542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 JT532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 JT432 high card 1,020 1.64% 1 : 59.8 1.64%