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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 AKQ63 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ63 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT63 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK963 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK863 flush 4 0.01% 1 : 15515 99.97%
6 K7s AK763 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK653 flush 4 0.01% 1 : 15515 99.96%
8 K4s AK643 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK632 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ63 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT63 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ963 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ863 flush 4 0.01% 1 : 15515 99.92%
14 Q7s AQ763 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ653 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQ643 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ632 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT63 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ963 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ863 flush 4 0.01% 1 : 15515 99.88%
21 J7s AJ763 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ653 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJ643 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ632 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT963 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT863 flush 4 0.01% 1 : 15515 99.84%
27 T7s AT763 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT653 flush 4 0.01% 1 : 15515 99.83%
29 T4s AT643 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT632 flush 4 0.01% 1 : 15515 99.81%
31 98s A9863 flush 4 0.01% 1 : 15515 99.81%
32 97s A9763 flush 4 0.01% 1 : 15515 99.80%
33 95s A9653 flush 4 0.01% 1 : 15515 99.79%
34 94s A9643 flush 4 0.01% 1 : 15515 99.79%
35 92s A9632 flush 4 0.01% 1 : 15515 99.78%
36 87s A8763 flush 4 0.01% 1 : 15515 99.77%
37 85s A8653 flush 4 0.01% 1 : 15515 99.77%
38 84s A8643 flush 4 0.01% 1 : 15515 99.76%
39 82s A8632 flush 4 0.01% 1 : 15515 99.76%
40 75s A7653 flush 4 0.01% 1 : 15515 99.75%
41 74s A7643 flush 4 0.01% 1 : 15515 99.74%
42 72s A7632 flush 4 0.01% 1 : 15515 99.74%
43 54s A6543 flush 4 0.01% 1 : 15515 99.73%
44 52s A6532 flush 4 0.01% 1 : 15515 99.72%
45 42s A6432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA63 three of a kind 64 0.10% 1 : 969 99.71%
47 66 A6663 three of a kind 64 0.10% 1 : 969 99.61%
48 33 A6333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A6 AA663 two pairs 144 0.23% 1 : 430 99.40%
50 A3 AA633 two pairs 144 0.23% 1 : 430 99.17%
51 63 A6633 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK63 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ63 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ63 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT63 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA963 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA863 one pair 384 0.62% 1 : 161 95.61%
58 A7 AA763 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA653 one pair 384 0.62% 1 : 161 94.37%
60 A4 AA643 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA632 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK63 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ63 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ63 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT63 one pair 384 0.62% 1 : 161 90.66%
66 99 A9963 one pair 384 0.62% 1 : 161 90.04%
67 88 A8863 one pair 384 0.62% 1 : 161 89.42%
68 77 A7763 one pair 384 0.62% 1 : 161 88.81%
69 K6 AK663 one pair 384 0.62% 1 : 161 88.19%
70 Q6 AQ663 one pair 384 0.62% 1 : 161 87.57%
71 J6 AJ663 one pair 384 0.62% 1 : 161 86.95%
72 T6 AT663 one pair 384 0.62% 1 : 161 86.33%
73 96 A9663 one pair 384 0.62% 1 : 161 85.71%
74 86 A8663 one pair 384 0.62% 1 : 161 85.09%
75 76 A7663 one pair 384 0.62% 1 : 161 84.47%
76 65 A6653 one pair 384 0.62% 1 : 161 83.86%
77 64 A6643 one pair 384 0.62% 1 : 161 83.24%
78 62 A6632 one pair 384 0.62% 1 : 161 82.62%
79 55 A6553 one pair 384 0.62% 1 : 161 82.00%
80 44 A6443 one pair 384 0.62% 1 : 161 81.38%
81 K3 AK633 one pair 384 0.62% 1 : 161 80.76%
82 Q3 AQ633 one pair 384 0.62% 1 : 161 80.14%
83 J3 AJ633 one pair 384 0.62% 1 : 161 79.52%
84 T3 AT633 one pair 384 0.62% 1 : 161 78.91%
85 93 A9633 one pair 384 0.62% 1 : 161 78.29%
86 83 A8633 one pair 384 0.62% 1 : 161 77.67%
87 73 A7633 one pair 384 0.62% 1 : 161 77.05%
88 53 A6533 one pair 384 0.62% 1 : 161 76.43%
89 43 A6433 one pair 384 0.62% 1 : 161 75.81%
90 32 A6332 one pair 384 0.62% 1 : 161 75.19%
91 22 A6322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ63 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ63 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT63 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK963 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK863 high card 1,020 1.64% 1 : 59.8 67.38%
97 K7 AK763 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK653 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AK643 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK632 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ63 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT63 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ963 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ863 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 AQ763 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ653 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQ643 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ632 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT63 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ963 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ863 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 AJ763 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ653 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJ643 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ632 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT963 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT863 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 AT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 AT643 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9863 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 A9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 A9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 A8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 A8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 A8643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 A8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 A7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 A7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 A7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 A6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 A6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 A6432 high card 1,020 1.64% 1 : 59.8 1.64%