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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 AKT42 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT42 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT42 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT942 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT842 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT742 flush 4 0.01% 1 : 15515 99.97%
7 A6s AT642 flush 4 0.01% 1 : 15515 99.96%
8 A5s AT542 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT42 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT42 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT942 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT842 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT742 flush 4 0.01% 1 : 15515 99.92%
15 K6s KT642 flush 4 0.01% 1 : 15515 99.91%
16 K5s KT542 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT42 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT942 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT842 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT742 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT642 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QT542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT432 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT942 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT842 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT742 flush 4 0.01% 1 : 15515 99.83%
28 J6s JT642 flush 4 0.01% 1 : 15515 99.83%
29 J5s JT542 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT432 flush 4 0.01% 1 : 15515 99.81%
31 98s T9842 flush 4 0.01% 1 : 15515 99.81%
32 97s T9742 flush 4 0.01% 1 : 15515 99.80%
33 96s T9642 flush 4 0.01% 1 : 15515 99.79%
34 95s T9542 flush 4 0.01% 1 : 15515 99.79%
35 93s T9432 flush 4 0.01% 1 : 15515 99.78%
36 87s T8742 flush 4 0.01% 1 : 15515 99.77%
37 86s T8642 flush 4 0.01% 1 : 15515 99.77%
38 85s T8542 flush 4 0.01% 1 : 15515 99.76%
39 83s T8432 flush 4 0.01% 1 : 15515 99.76%
40 76s T7642 flush 4 0.01% 1 : 15515 99.75%
41 75s T7542 flush 4 0.01% 1 : 15515 99.74%
42 73s T7432 flush 4 0.01% 1 : 15515 99.74%
43 65s T6542 flush 4 0.01% 1 : 15515 99.73%
44 63s T6432 flush 4 0.01% 1 : 15515 99.72%
45 53s T5432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT42 three of a kind 64 0.10% 1 : 969 99.71%
47 44 T4442 three of a kind 64 0.10% 1 : 969 99.61%
48 22 T4222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T4 TT442 two pairs 144 0.23% 1 : 430 99.40%
50 T2 TT422 two pairs 144 0.23% 1 : 430 99.17%
51 42 T4422 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT42 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT42 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT42 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT42 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT42 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT42 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT42 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT42 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT942 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT842 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT742 one pair 384 0.62% 1 : 161 92.52%
63 T6 TT642 one pair 384 0.62% 1 : 161 91.90%
64 T5 TT542 one pair 384 0.62% 1 : 161 91.28%
65 T3 TT432 one pair 384 0.62% 1 : 161 90.66%
66 99 T9942 one pair 384 0.62% 1 : 161 90.04%
67 88 T8842 one pair 384 0.62% 1 : 161 89.42%
68 77 T7742 one pair 384 0.62% 1 : 161 88.81%
69 66 T6642 one pair 384 0.62% 1 : 161 88.19%
70 55 T5542 one pair 384 0.62% 1 : 161 87.57%
71 A4 AT442 one pair 384 0.62% 1 : 161 86.95%
72 K4 KT442 one pair 384 0.62% 1 : 161 86.33%
73 Q4 QT442 one pair 384 0.62% 1 : 161 85.71%
74 J4 JT442 one pair 384 0.62% 1 : 161 85.09%
75 94 T9442 one pair 384 0.62% 1 : 161 84.47%
76 84 T8442 one pair 384 0.62% 1 : 161 83.86%
77 74 T7442 one pair 384 0.62% 1 : 161 83.24%
78 64 T6442 one pair 384 0.62% 1 : 161 82.62%
79 54 T5442 one pair 384 0.62% 1 : 161 82.00%
80 43 T4432 one pair 384 0.62% 1 : 161 81.38%
81 33 T4332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AT422 one pair 384 0.62% 1 : 161 80.14%
83 K2 KT422 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QT422 one pair 384 0.62% 1 : 161 78.91%
85 J2 JT422 one pair 384 0.62% 1 : 161 78.29%
86 92 T9422 one pair 384 0.62% 1 : 161 77.67%
87 82 T8422 one pair 384 0.62% 1 : 161 77.05%
88 72 T7422 one pair 384 0.62% 1 : 161 76.43%
89 62 T6422 one pair 384 0.62% 1 : 161 75.81%
90 52 T5422 one pair 384 0.62% 1 : 161 75.19%
91 32 T4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT42 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT42 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT42 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT942 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT842 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT742 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AT642 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AT542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT42 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT42 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT942 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT842 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT742 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KT642 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KT542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT42 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT942 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT842 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT742 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT642 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QT542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT432 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT942 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT842 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT742 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 JT642 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 JT542 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9842 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9742 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 T9642 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 T9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 T9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8742 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 T8642 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 T8542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 T8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 T7642 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 T7542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 T7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 T6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 T6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 53 T5432 high card 1,020 1.64% 1 : 59.8 1.64%