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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 KQs AKQ64 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ64 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT64 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK964 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK864 flush 4 0.01% 1 : 15515 99.97%
6 K7s AK764 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK654 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK643 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK642 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ64 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT64 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ964 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ864 flush 4 0.01% 1 : 15515 99.92%
14 Q7s AQ764 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ654 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ643 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ642 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT64 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ964 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ864 flush 4 0.01% 1 : 15515 99.88%
21 J7s AJ764 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ654 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ643 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ642 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT964 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT864 flush 4 0.01% 1 : 15515 99.84%
27 T7s AT764 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT643 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT642 flush 4 0.01% 1 : 15515 99.81%
31 98s A9864 flush 4 0.01% 1 : 15515 99.81%
32 97s A9764 flush 4 0.01% 1 : 15515 99.80%
33 95s A9654 flush 4 0.01% 1 : 15515 99.79%
34 93s A9643 flush 4 0.01% 1 : 15515 99.79%
35 92s A9642 flush 4 0.01% 1 : 15515 99.78%
36 87s A8764 flush 4 0.01% 1 : 15515 99.77%
37 85s A8654 flush 4 0.01% 1 : 15515 99.77%
38 83s A8643 flush 4 0.01% 1 : 15515 99.76%
39 82s A8642 flush 4 0.01% 1 : 15515 99.76%
40 75s A7654 flush 4 0.01% 1 : 15515 99.75%
41 73s A7643 flush 4 0.01% 1 : 15515 99.74%
42 72s A7642 flush 4 0.01% 1 : 15515 99.74%
43 53s A6543 flush 4 0.01% 1 : 15515 99.73%
44 52s A6542 flush 4 0.01% 1 : 15515 99.72%
45 32s A6432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA64 three of a kind 64 0.10% 1 : 969 99.71%
47 66 A6664 three of a kind 64 0.10% 1 : 969 99.61%
48 44 A6444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A6 AA664 two pairs 144 0.23% 1 : 430 99.40%
50 A4 AA644 two pairs 144 0.23% 1 : 430 99.17%
51 64 A6644 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK64 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ64 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ64 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT64 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA964 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA864 one pair 384 0.62% 1 : 161 95.61%
58 A7 AA764 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA654 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA643 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA642 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK64 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ64 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ64 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT64 one pair 384 0.62% 1 : 161 90.66%
66 99 A9964 one pair 384 0.62% 1 : 161 90.04%
67 88 A8864 one pair 384 0.62% 1 : 161 89.42%
68 77 A7764 one pair 384 0.62% 1 : 161 88.81%
69 K6 AK664 one pair 384 0.62% 1 : 161 88.19%
70 Q6 AQ664 one pair 384 0.62% 1 : 161 87.57%
71 J6 AJ664 one pair 384 0.62% 1 : 161 86.95%
72 T6 AT664 one pair 384 0.62% 1 : 161 86.33%
73 96 A9664 one pair 384 0.62% 1 : 161 85.71%
74 86 A8664 one pair 384 0.62% 1 : 161 85.09%
75 76 A7664 one pair 384 0.62% 1 : 161 84.47%
76 65 A6654 one pair 384 0.62% 1 : 161 83.86%
77 63 A6643 one pair 384 0.62% 1 : 161 83.24%
78 62 A6642 one pair 384 0.62% 1 : 161 82.62%
79 55 A6554 one pair 384 0.62% 1 : 161 82.00%
80 K4 AK644 one pair 384 0.62% 1 : 161 81.38%
81 Q4 AQ644 one pair 384 0.62% 1 : 161 80.76%
82 J4 AJ644 one pair 384 0.62% 1 : 161 80.14%
83 T4 AT644 one pair 384 0.62% 1 : 161 79.52%
84 94 A9644 one pair 384 0.62% 1 : 161 78.91%
85 84 A8644 one pair 384 0.62% 1 : 161 78.29%
86 74 A7644 one pair 384 0.62% 1 : 161 77.67%
87 54 A6544 one pair 384 0.62% 1 : 161 77.05%
88 43 A6443 one pair 384 0.62% 1 : 161 76.43%
89 42 A6442 one pair 384 0.62% 1 : 161 75.81%
90 33 A6433 one pair 384 0.62% 1 : 161 75.19%
91 22 A6422 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ64 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ64 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT64 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK964 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK864 high card 1,020 1.64% 1 : 59.8 67.38%
97 K7 AK764 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK654 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK643 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK642 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ64 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT64 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ964 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ864 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 AQ764 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ643 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ642 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT64 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ964 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ864 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 AJ764 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ643 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ642 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT964 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT864 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 AT764 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT643 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT642 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9864 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 A9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9642 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 A8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 A8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 A8643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 A8642 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 A7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 A7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 A7642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 A6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 A6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A6432 high card 1,020 1.64% 1 : 59.8 1.64%