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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 AQs AKQJ3 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKJT3 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKJ93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKJ83 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKJ73 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKJ63 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKJ53 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKJ43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKJ32 flush 4 0.01% 1 : 15515 99.95%
10 QTs KQJT3 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQJ93 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQJ83 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQJ73 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQJ63 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQJ53 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQJ43 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s KJT93 flush 4 0.01% 1 : 15515 99.89%
19 T8s KJT83 flush 4 0.01% 1 : 15515 99.88%
20 T7s KJT73 flush 4 0.01% 1 : 15515 99.88%
21 T6s KJT63 flush 4 0.01% 1 : 15515 99.87%
22 T5s KJT53 flush 4 0.01% 1 : 15515 99.86%
23 T4s KJT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s KJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s KJ983 flush 4 0.01% 1 : 15515 99.85%
26 97s KJ973 flush 4 0.01% 1 : 15515 99.84%
27 96s KJ963 flush 4 0.01% 1 : 15515 99.83%
28 95s KJ953 flush 4 0.01% 1 : 15515 99.83%
29 94s KJ943 flush 4 0.01% 1 : 15515 99.82%
30 92s KJ932 flush 4 0.01% 1 : 15515 99.81%
31 87s KJ873 flush 4 0.01% 1 : 15515 99.81%
32 86s KJ863 flush 4 0.01% 1 : 15515 99.80%
33 85s KJ853 flush 4 0.01% 1 : 15515 99.79%
34 84s KJ843 flush 4 0.01% 1 : 15515 99.79%
35 82s KJ832 flush 4 0.01% 1 : 15515 99.78%
36 76s KJ763 flush 4 0.01% 1 : 15515 99.77%
37 75s KJ753 flush 4 0.01% 1 : 15515 99.77%
38 74s KJ743 flush 4 0.01% 1 : 15515 99.76%
39 72s KJ732 flush 4 0.01% 1 : 15515 99.76%
40 65s KJ653 flush 4 0.01% 1 : 15515 99.75%
41 64s KJ643 flush 4 0.01% 1 : 15515 99.74%
42 62s KJ632 flush 4 0.01% 1 : 15515 99.74%
43 54s KJ543 flush 4 0.01% 1 : 15515 99.73%
44 52s KJ532 flush 4 0.01% 1 : 15515 99.72%
45 42s KJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKJ3 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ KJJJ3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 KJ333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KJ KKJJ3 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KKJ33 two pairs 144 0.23% 1 : 430 99.17%
51 J3 KJJ33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKJ3 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKJ3 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQJ3 one pair 384 0.62% 1 : 161 97.47%
55 KT KKJT3 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKJ93 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKJ83 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKJ73 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKJ63 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKJ53 one pair 384 0.62% 1 : 161 93.75%
61 K4 KKJ43 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKJ32 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQJ3 one pair 384 0.62% 1 : 161 91.90%
64 AJ AKJJ3 one pair 384 0.62% 1 : 161 91.28%
65 QJ KQJJ3 one pair 384 0.62% 1 : 161 90.66%
66 JT KJJT3 one pair 384 0.62% 1 : 161 90.04%
67 J9 KJJ93 one pair 384 0.62% 1 : 161 89.42%
68 J8 KJJ83 one pair 384 0.62% 1 : 161 88.81%
69 J7 KJJ73 one pair 384 0.62% 1 : 161 88.19%
70 J6 KJJ63 one pair 384 0.62% 1 : 161 87.57%
71 J5 KJJ53 one pair 384 0.62% 1 : 161 86.95%
72 J4 KJJ43 one pair 384 0.62% 1 : 161 86.33%
73 J2 KJJ32 one pair 384 0.62% 1 : 161 85.71%
74 TT KJTT3 one pair 384 0.62% 1 : 161 85.09%
75 99 KJ993 one pair 384 0.62% 1 : 161 84.47%
76 88 KJ883 one pair 384 0.62% 1 : 161 83.86%
77 77 KJ773 one pair 384 0.62% 1 : 161 83.24%
78 66 KJ663 one pair 384 0.62% 1 : 161 82.62%
79 55 KJ553 one pair 384 0.62% 1 : 161 82.00%
80 44 KJ443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AKJ33 one pair 384 0.62% 1 : 161 80.76%
82 Q3 KQJ33 one pair 384 0.62% 1 : 161 80.14%
83 T3 KJT33 one pair 384 0.62% 1 : 161 79.52%
84 93 KJ933 one pair 384 0.62% 1 : 161 78.91%
85 83 KJ833 one pair 384 0.62% 1 : 161 78.29%
86 73 KJ733 one pair 384 0.62% 1 : 161 77.67%
87 63 KJ633 one pair 384 0.62% 1 : 161 77.05%
88 53 KJ533 one pair 384 0.62% 1 : 161 76.43%
89 43 KJ433 one pair 384 0.62% 1 : 161 75.81%
90 32 KJ332 one pair 384 0.62% 1 : 161 75.19%
91 22 KJ322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQJ3 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKJT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKJ93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKJ83 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKJ73 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKJ63 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKJ53 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKJ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKJ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT KQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQJ93 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQJ83 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQJ73 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQJ63 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQJ53 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KJT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KJT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 KJT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 KJT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 KJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KJ983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KJ973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KJ963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KJ953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 KJ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KJ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KJ873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KJ863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KJ853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 KJ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KJ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KJ763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KJ753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 KJ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KJ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KJ653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 KJ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KJ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 KJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 KJ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 KJ432 high card 1,020 1.64% 1 : 59.8 1.64%