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 AKJ52 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ52 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT52 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ952 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ852 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ752 flush 4 0.01% 1 : 15515 99.97%
7 A6s AJ652 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ542 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJ532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ52 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT52 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ952 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ852 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ752 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJ652 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ542 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJ532 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT52 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ952 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ852 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ752 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QJ652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ532 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT952 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT852 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT752 flush 4 0.01% 1 : 15515 99.83%
28 T6s JT652 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT542 flush 4 0.01% 1 : 15515 99.82%
30 T3s JT532 flush 4 0.01% 1 : 15515 99.81%
31 98s J9852 flush 4 0.01% 1 : 15515 99.81%
32 97s J9752 flush 4 0.01% 1 : 15515 99.80%
33 96s J9652 flush 4 0.01% 1 : 15515 99.79%
34 94s J9542 flush 4 0.01% 1 : 15515 99.79%
35 93s J9532 flush 4 0.01% 1 : 15515 99.78%
36 87s J8752 flush 4 0.01% 1 : 15515 99.77%
37 86s J8652 flush 4 0.01% 1 : 15515 99.77%
38 84s J8542 flush 4 0.01% 1 : 15515 99.76%
39 83s J8532 flush 4 0.01% 1 : 15515 99.76%
40 76s J7652 flush 4 0.01% 1 : 15515 99.75%
41 74s J7542 flush 4 0.01% 1 : 15515 99.74%
42 73s J7532 flush 4 0.01% 1 : 15515 99.74%
43 64s J6542 flush 4 0.01% 1 : 15515 99.73%
44 63s J6532 flush 4 0.01% 1 : 15515 99.72%
45 43s J5432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ52 three of a kind 64 0.10% 1 : 969 99.71%
47 55 J5552 three of a kind 64 0.10% 1 : 969 99.61%
48 22 J5222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J5 JJ552 two pairs 144 0.23% 1 : 430 99.40%
50 J2 JJ522 two pairs 144 0.23% 1 : 430 99.17%
51 52 J5522 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ52 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ52 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ52 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ52 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ52 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ52 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT52 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ952 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ852 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ752 one pair 384 0.62% 1 : 161 93.14%
62 J6 JJ652 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ542 one pair 384 0.62% 1 : 161 91.90%
64 J3 JJ532 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT52 one pair 384 0.62% 1 : 161 90.66%
66 99 J9952 one pair 384 0.62% 1 : 161 90.04%
67 88 J8852 one pair 384 0.62% 1 : 161 89.42%
68 77 J7752 one pair 384 0.62% 1 : 161 88.81%
69 66 J6652 one pair 384 0.62% 1 : 161 88.19%
70 A5 AJ552 one pair 384 0.62% 1 : 161 87.57%
71 K5 KJ552 one pair 384 0.62% 1 : 161 86.95%
72 Q5 QJ552 one pair 384 0.62% 1 : 161 86.33%
73 T5 JT552 one pair 384 0.62% 1 : 161 85.71%
74 95 J9552 one pair 384 0.62% 1 : 161 85.09%
75 85 J8552 one pair 384 0.62% 1 : 161 84.47%
76 75 J7552 one pair 384 0.62% 1 : 161 83.86%
77 65 J6552 one pair 384 0.62% 1 : 161 83.24%
78 54 J5542 one pair 384 0.62% 1 : 161 82.62%
79 53 J5532 one pair 384 0.62% 1 : 161 82.00%
80 44 J5442 one pair 384 0.62% 1 : 161 81.38%
81 33 J5332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AJ522 one pair 384 0.62% 1 : 161 80.14%
83 K2 KJ522 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QJ522 one pair 384 0.62% 1 : 161 78.91%
85 T2 JT522 one pair 384 0.62% 1 : 161 78.29%
86 92 J9522 one pair 384 0.62% 1 : 161 77.67%
87 82 J8522 one pair 384 0.62% 1 : 161 77.05%
88 72 J7522 one pair 384 0.62% 1 : 161 76.43%
89 62 J6522 one pair 384 0.62% 1 : 161 75.81%
90 42 J5422 one pair 384 0.62% 1 : 161 75.19%
91 32 J5322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ52 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ52 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT52 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ952 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ852 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ752 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AJ652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJ532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ52 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT52 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ952 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ852 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ752 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJ652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJ532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT52 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ952 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ852 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ752 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QJ652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ532 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT952 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT852 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT752 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 JT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT542 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 JT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9852 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9752 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 J9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 J9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 J9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8752 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 J8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 J8542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 J8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 J7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 J7542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 J7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 J6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 J6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 J5432 high card 1,020 1.64% 1 : 59.8 1.64%