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 AQs AKQ63 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ63 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT63 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK963 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK863 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK763 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK653 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK643 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK632 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ63 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT63 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ963 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ863 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ763 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ653 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ643 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ632 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT63 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ963 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ863 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ763 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ653 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ643 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ632 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT963 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT863 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT763 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT653 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT643 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT632 flush 4 0.01% 1 : 15515 99.81%
31 98s K9863 flush 4 0.01% 1 : 15515 99.81%
32 97s K9763 flush 4 0.01% 1 : 15515 99.80%
33 95s K9653 flush 4 0.01% 1 : 15515 99.79%
34 94s K9643 flush 4 0.01% 1 : 15515 99.79%
35 92s K9632 flush 4 0.01% 1 : 15515 99.78%
36 87s K8763 flush 4 0.01% 1 : 15515 99.77%
37 85s K8653 flush 4 0.01% 1 : 15515 99.77%
38 84s K8643 flush 4 0.01% 1 : 15515 99.76%
39 82s K8632 flush 4 0.01% 1 : 15515 99.76%
40 75s K7653 flush 4 0.01% 1 : 15515 99.75%
41 74s K7643 flush 4 0.01% 1 : 15515 99.74%
42 72s K7632 flush 4 0.01% 1 : 15515 99.74%
43 54s K6543 flush 4 0.01% 1 : 15515 99.73%
44 52s K6532 flush 4 0.01% 1 : 15515 99.72%
45 42s K6432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK63 three of a kind 64 0.10% 1 : 969 99.71%
47 66 K6663 three of a kind 64 0.10% 1 : 969 99.61%
48 33 K6333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K6 KK663 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KK633 two pairs 144 0.23% 1 : 430 99.17%
51 63 K6633 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK63 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK63 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ63 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ63 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT63 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK963 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK863 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK763 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK653 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK643 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK632 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ63 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ63 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT63 one pair 384 0.62% 1 : 161 90.66%
66 99 K9963 one pair 384 0.62% 1 : 161 90.04%
67 88 K8863 one pair 384 0.62% 1 : 161 89.42%
68 77 K7763 one pair 384 0.62% 1 : 161 88.81%
69 A6 AK663 one pair 384 0.62% 1 : 161 88.19%
70 Q6 KQ663 one pair 384 0.62% 1 : 161 87.57%
71 J6 KJ663 one pair 384 0.62% 1 : 161 86.95%
72 T6 KT663 one pair 384 0.62% 1 : 161 86.33%
73 96 K9663 one pair 384 0.62% 1 : 161 85.71%
74 86 K8663 one pair 384 0.62% 1 : 161 85.09%
75 76 K7663 one pair 384 0.62% 1 : 161 84.47%
76 65 K6653 one pair 384 0.62% 1 : 161 83.86%
77 64 K6643 one pair 384 0.62% 1 : 161 83.24%
78 62 K6632 one pair 384 0.62% 1 : 161 82.62%
79 55 K6553 one pair 384 0.62% 1 : 161 82.00%
80 44 K6443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AK633 one pair 384 0.62% 1 : 161 80.76%
82 Q3 KQ633 one pair 384 0.62% 1 : 161 80.14%
83 J3 KJ633 one pair 384 0.62% 1 : 161 79.52%
84 T3 KT633 one pair 384 0.62% 1 : 161 78.91%
85 93 K9633 one pair 384 0.62% 1 : 161 78.29%
86 83 K8633 one pair 384 0.62% 1 : 161 77.67%
87 73 K7633 one pair 384 0.62% 1 : 161 77.05%
88 53 K6533 one pair 384 0.62% 1 : 161 76.43%
89 43 K6433 one pair 384 0.62% 1 : 161 75.81%
90 32 K6332 one pair 384 0.62% 1 : 161 75.19%
91 22 K6322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ63 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ63 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT63 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK963 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK863 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK643 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK632 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ63 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT63 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ963 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ863 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ763 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ653 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ643 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ632 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT63 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ963 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ863 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ763 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ653 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ643 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ632 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT963 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT863 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT643 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9863 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 K9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 K9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 K8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 K8643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 K7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 K7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 K7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 K6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 K6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 K6432 high card 1,020 1.64% 1 : 59.8 1.64%