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 AKQ63 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ63 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT63 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ963 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ863 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQ763 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ653 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ643 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ632 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ63 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT63 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ963 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ863 flush 4 0.01% 1 : 15515 99.92%
14 K7s KQ763 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ653 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ643 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ632 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT63 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ963 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ863 flush 4 0.01% 1 : 15515 99.88%
21 J7s QJ763 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ653 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ643 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ632 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT963 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT863 flush 4 0.01% 1 : 15515 99.84%
27 T7s QT763 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT653 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT643 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT632 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9863 flush 4 0.01% 1 : 15515 99.81%
32 97s Q9763 flush 4 0.01% 1 : 15515 99.80%
33 95s Q9653 flush 4 0.01% 1 : 15515 99.79%
34 94s Q9643 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9632 flush 4 0.01% 1 : 15515 99.78%
36 87s Q8763 flush 4 0.01% 1 : 15515 99.77%
37 85s Q8653 flush 4 0.01% 1 : 15515 99.77%
38 84s Q8643 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8632 flush 4 0.01% 1 : 15515 99.76%
40 75s Q7653 flush 4 0.01% 1 : 15515 99.75%
41 74s Q7643 flush 4 0.01% 1 : 15515 99.74%
42 72s Q7632 flush 4 0.01% 1 : 15515 99.74%
43 54s Q6543 flush 4 0.01% 1 : 15515 99.73%
44 52s Q6532 flush 4 0.01% 1 : 15515 99.72%
45 42s Q6432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ63 three of a kind 64 0.10% 1 : 969 99.71%
47 66 Q6663 three of a kind 64 0.10% 1 : 969 99.61%
48 33 Q6333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q6 QQ663 two pairs 144 0.23% 1 : 430 99.40%
50 Q3 QQ633 two pairs 144 0.23% 1 : 430 99.17%
51 63 Q6633 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ63 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ63 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ63 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ63 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ63 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT63 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ963 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ863 one pair 384 0.62% 1 : 161 94.37%
60 Q7 QQ763 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ653 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ643 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ632 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ63 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT63 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9963 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8863 one pair 384 0.62% 1 : 161 89.42%
68 77 Q7763 one pair 384 0.62% 1 : 161 88.81%
69 A6 AQ663 one pair 384 0.62% 1 : 161 88.19%
70 K6 KQ663 one pair 384 0.62% 1 : 161 87.57%
71 J6 QJ663 one pair 384 0.62% 1 : 161 86.95%
72 T6 QT663 one pair 384 0.62% 1 : 161 86.33%
73 96 Q9663 one pair 384 0.62% 1 : 161 85.71%
74 86 Q8663 one pair 384 0.62% 1 : 161 85.09%
75 76 Q7663 one pair 384 0.62% 1 : 161 84.47%
76 65 Q6653 one pair 384 0.62% 1 : 161 83.86%
77 64 Q6643 one pair 384 0.62% 1 : 161 83.24%
78 62 Q6632 one pair 384 0.62% 1 : 161 82.62%
79 55 Q6553 one pair 384 0.62% 1 : 161 82.00%
80 44 Q6443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AQ633 one pair 384 0.62% 1 : 161 80.76%
82 K3 KQ633 one pair 384 0.62% 1 : 161 80.14%
83 J3 QJ633 one pair 384 0.62% 1 : 161 79.52%
84 T3 QT633 one pair 384 0.62% 1 : 161 78.91%
85 93 Q9633 one pair 384 0.62% 1 : 161 78.29%
86 83 Q8633 one pair 384 0.62% 1 : 161 77.67%
87 73 Q7633 one pair 384 0.62% 1 : 161 77.05%
88 53 Q6533 one pair 384 0.62% 1 : 161 76.43%
89 43 Q6433 one pair 384 0.62% 1 : 161 75.81%
90 32 Q6332 one pair 384 0.62% 1 : 161 75.19%
91 22 Q6322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ63 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ63 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT63 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ963 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ863 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQ763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ643 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ63 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT63 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ963 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ863 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KQ763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ643 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ632 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT63 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ963 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ863 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 QJ763 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ653 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ643 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ632 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT963 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT863 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 QT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT643 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9863 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 Q9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 Q9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 Q9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 Q8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 Q8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 Q8643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 Q7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 Q7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 Q7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 Q6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 Q6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 Q6432 high card 1,020 1.64% 1 : 59.8 1.64%