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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 AJs AKQJ3 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKQT3 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKQ93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKQ83 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKQ73 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKQ63 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKQ53 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKQ43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKQ32 flush 4 0.01% 1 : 15515 99.95%
10 JTs KQJT3 flush 4 0.01% 1 : 15515 99.94%
11 J9s KQJ93 flush 4 0.01% 1 : 15515 99.94%
12 J8s KQJ83 flush 4 0.01% 1 : 15515 99.93%
13 J7s KQJ73 flush 4 0.01% 1 : 15515 99.92%
14 J6s KQJ63 flush 4 0.01% 1 : 15515 99.92%
15 J5s KQJ53 flush 4 0.01% 1 : 15515 99.91%
16 J4s KQJ43 flush 4 0.01% 1 : 15515 99.90%
17 J2s KQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s KQT93 flush 4 0.01% 1 : 15515 99.89%
19 T8s KQT83 flush 4 0.01% 1 : 15515 99.88%
20 T7s KQT73 flush 4 0.01% 1 : 15515 99.88%
21 T6s KQT63 flush 4 0.01% 1 : 15515 99.87%
22 T5s KQT53 flush 4 0.01% 1 : 15515 99.86%
23 T4s KQT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s KQT32 flush 4 0.01% 1 : 15515 99.85%
25 98s KQ983 flush 4 0.01% 1 : 15515 99.85%
26 97s KQ973 flush 4 0.01% 1 : 15515 99.84%
27 96s KQ963 flush 4 0.01% 1 : 15515 99.83%
28 95s KQ953 flush 4 0.01% 1 : 15515 99.83%
29 94s KQ943 flush 4 0.01% 1 : 15515 99.82%
30 92s KQ932 flush 4 0.01% 1 : 15515 99.81%
31 87s KQ873 flush 4 0.01% 1 : 15515 99.81%
32 86s KQ863 flush 4 0.01% 1 : 15515 99.80%
33 85s KQ853 flush 4 0.01% 1 : 15515 99.79%
34 84s KQ843 flush 4 0.01% 1 : 15515 99.79%
35 82s KQ832 flush 4 0.01% 1 : 15515 99.78%
36 76s KQ763 flush 4 0.01% 1 : 15515 99.77%
37 75s KQ753 flush 4 0.01% 1 : 15515 99.77%
38 74s KQ743 flush 4 0.01% 1 : 15515 99.76%
39 72s KQ732 flush 4 0.01% 1 : 15515 99.76%
40 65s KQ653 flush 4 0.01% 1 : 15515 99.75%
41 64s KQ643 flush 4 0.01% 1 : 15515 99.74%
42 62s KQ632 flush 4 0.01% 1 : 15515 99.74%
43 54s KQ543 flush 4 0.01% 1 : 15515 99.73%
44 52s KQ532 flush 4 0.01% 1 : 15515 99.72%
45 42s KQ432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKQ3 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ KQQQ3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 KQ333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KQ KKQQ3 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KKQ33 two pairs 144 0.23% 1 : 430 99.17%
51 Q3 KQQ33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKQ3 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKQ3 one pair 384 0.62% 1 : 161 98.09%
54 KJ KKQJ3 one pair 384 0.62% 1 : 161 97.47%
55 KT KKQT3 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKQ93 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKQ83 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKQ73 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKQ63 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKQ53 one pair 384 0.62% 1 : 161 93.75%
61 K4 KKQ43 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKQ32 one pair 384 0.62% 1 : 161 92.52%
63 AQ AKQQ3 one pair 384 0.62% 1 : 161 91.90%
64 QJ KQQJ3 one pair 384 0.62% 1 : 161 91.28%
65 QT KQQT3 one pair 384 0.62% 1 : 161 90.66%
66 Q9 KQQ93 one pair 384 0.62% 1 : 161 90.04%
67 Q8 KQQ83 one pair 384 0.62% 1 : 161 89.42%
68 Q7 KQQ73 one pair 384 0.62% 1 : 161 88.81%
69 Q6 KQQ63 one pair 384 0.62% 1 : 161 88.19%
70 Q5 KQQ53 one pair 384 0.62% 1 : 161 87.57%
71 Q4 KQQ43 one pair 384 0.62% 1 : 161 86.95%
72 Q2 KQQ32 one pair 384 0.62% 1 : 161 86.33%
73 JJ KQJJ3 one pair 384 0.62% 1 : 161 85.71%
74 TT KQTT3 one pair 384 0.62% 1 : 161 85.09%
75 99 KQ993 one pair 384 0.62% 1 : 161 84.47%
76 88 KQ883 one pair 384 0.62% 1 : 161 83.86%
77 77 KQ773 one pair 384 0.62% 1 : 161 83.24%
78 66 KQ663 one pair 384 0.62% 1 : 161 82.62%
79 55 KQ553 one pair 384 0.62% 1 : 161 82.00%
80 44 KQ443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AKQ33 one pair 384 0.62% 1 : 161 80.76%
82 J3 KQJ33 one pair 384 0.62% 1 : 161 80.14%
83 T3 KQT33 one pair 384 0.62% 1 : 161 79.52%
84 93 KQ933 one pair 384 0.62% 1 : 161 78.91%
85 83 KQ833 one pair 384 0.62% 1 : 161 78.29%
86 73 KQ733 one pair 384 0.62% 1 : 161 77.67%
87 63 KQ633 one pair 384 0.62% 1 : 161 77.05%
88 53 KQ533 one pair 384 0.62% 1 : 161 76.43%
89 43 KQ433 one pair 384 0.62% 1 : 161 75.81%
90 32 KQ332 one pair 384 0.62% 1 : 161 75.19%
91 22 KQ322 one pair 384 0.62% 1 : 161 74.57%
 
92 AJ AKQJ3 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKQT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKQ93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKQ83 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKQ73 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKQ63 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKQ53 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKQ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKQ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT KQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 KQJ93 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 KQJ83 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 KQJ73 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 KQJ63 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 KQJ53 high card 1,020 1.64% 1 : 59.8 50.95%
107 J4 KQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 KQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KQT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KQT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KQT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 KQT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 KQT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 KQT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KQT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KQ983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KQ973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KQ963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KQ953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 KQ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KQ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KQ873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KQ863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KQ853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 KQ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KQ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KQ763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KQ753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 KQ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KQ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KQ653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 KQ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KQ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 KQ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 KQ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 KQ432 high card 1,020 1.64% 1 : 59.8 1.64%