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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 AKQJ4 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKQT4 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKQ94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKQ84 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKQ74 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKQ64 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKQ54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKQ43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKQ42 flush 4 0.01% 1 : 15515 99.95%
10 JTs KQJT4 flush 4 0.01% 1 : 15515 99.94%
11 J9s KQJ94 flush 4 0.01% 1 : 15515 99.94%
12 J8s KQJ84 flush 4 0.01% 1 : 15515 99.93%
13 J7s KQJ74 flush 4 0.01% 1 : 15515 99.92%
14 J6s KQJ64 flush 4 0.01% 1 : 15515 99.92%
15 J5s KQJ54 flush 4 0.01% 1 : 15515 99.91%
16 J3s KQJ43 flush 4 0.01% 1 : 15515 99.90%
17 J2s KQJ42 flush 4 0.01% 1 : 15515 99.90%
18 T9s KQT94 flush 4 0.01% 1 : 15515 99.89%
19 T8s KQT84 flush 4 0.01% 1 : 15515 99.88%
20 T7s KQT74 flush 4 0.01% 1 : 15515 99.88%
21 T6s KQT64 flush 4 0.01% 1 : 15515 99.87%
22 T5s KQT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s KQT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s KQT42 flush 4 0.01% 1 : 15515 99.85%
25 98s KQ984 flush 4 0.01% 1 : 15515 99.85%
26 97s KQ974 flush 4 0.01% 1 : 15515 99.84%
27 96s KQ964 flush 4 0.01% 1 : 15515 99.83%
28 95s KQ954 flush 4 0.01% 1 : 15515 99.83%
29 93s KQ943 flush 4 0.01% 1 : 15515 99.82%
30 92s KQ942 flush 4 0.01% 1 : 15515 99.81%
31 87s KQ874 flush 4 0.01% 1 : 15515 99.81%
32 86s KQ864 flush 4 0.01% 1 : 15515 99.80%
33 85s KQ854 flush 4 0.01% 1 : 15515 99.79%
34 83s KQ843 flush 4 0.01% 1 : 15515 99.79%
35 82s KQ842 flush 4 0.01% 1 : 15515 99.78%
36 76s KQ764 flush 4 0.01% 1 : 15515 99.77%
37 75s KQ754 flush 4 0.01% 1 : 15515 99.77%
38 73s KQ743 flush 4 0.01% 1 : 15515 99.76%
39 72s KQ742 flush 4 0.01% 1 : 15515 99.76%
40 65s KQ654 flush 4 0.01% 1 : 15515 99.75%
41 63s KQ643 flush 4 0.01% 1 : 15515 99.74%
42 62s KQ642 flush 4 0.01% 1 : 15515 99.74%
43 53s KQ543 flush 4 0.01% 1 : 15515 99.73%
44 52s KQ542 flush 4 0.01% 1 : 15515 99.72%
45 32s KQ432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKQ4 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ KQQQ4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 KQ444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KQ KKQQ4 two pairs 144 0.23% 1 : 430 99.40%
50 K4 KKQ44 two pairs 144 0.23% 1 : 430 99.17%
51 Q4 KQQ44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKQ4 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKQ4 one pair 384 0.62% 1 : 161 98.09%
54 KJ KKQJ4 one pair 384 0.62% 1 : 161 97.47%
55 KT KKQT4 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKQ94 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKQ84 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKQ74 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKQ64 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKQ54 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKQ43 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKQ42 one pair 384 0.62% 1 : 161 92.52%
63 AQ AKQQ4 one pair 384 0.62% 1 : 161 91.90%
64 QJ KQQJ4 one pair 384 0.62% 1 : 161 91.28%
65 QT KQQT4 one pair 384 0.62% 1 : 161 90.66%
66 Q9 KQQ94 one pair 384 0.62% 1 : 161 90.04%
67 Q8 KQQ84 one pair 384 0.62% 1 : 161 89.42%
68 Q7 KQQ74 one pair 384 0.62% 1 : 161 88.81%
69 Q6 KQQ64 one pair 384 0.62% 1 : 161 88.19%
70 Q5 KQQ54 one pair 384 0.62% 1 : 161 87.57%
71 Q3 KQQ43 one pair 384 0.62% 1 : 161 86.95%
72 Q2 KQQ42 one pair 384 0.62% 1 : 161 86.33%
73 JJ KQJJ4 one pair 384 0.62% 1 : 161 85.71%
74 TT KQTT4 one pair 384 0.62% 1 : 161 85.09%
75 99 KQ994 one pair 384 0.62% 1 : 161 84.47%
76 88 KQ884 one pair 384 0.62% 1 : 161 83.86%
77 77 KQ774 one pair 384 0.62% 1 : 161 83.24%
78 66 KQ664 one pair 384 0.62% 1 : 161 82.62%
79 55 KQ554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AKQ44 one pair 384 0.62% 1 : 161 81.38%
81 J4 KQJ44 one pair 384 0.62% 1 : 161 80.76%
82 T4 KQT44 one pair 384 0.62% 1 : 161 80.14%
83 94 KQ944 one pair 384 0.62% 1 : 161 79.52%
84 84 KQ844 one pair 384 0.62% 1 : 161 78.91%
85 74 KQ744 one pair 384 0.62% 1 : 161 78.29%
86 64 KQ644 one pair 384 0.62% 1 : 161 77.67%
87 54 KQ544 one pair 384 0.62% 1 : 161 77.05%
88 43 KQ443 one pair 384 0.62% 1 : 161 76.43%
89 42 KQ442 one pair 384 0.62% 1 : 161 75.81%
90 33 KQ433 one pair 384 0.62% 1 : 161 75.19%
91 22 KQ422 one pair 384 0.62% 1 : 161 74.57%
 
92 AJ AKQJ4 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKQT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKQ94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKQ84 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKQ74 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKQ64 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKQ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKQ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKQ42 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT KQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 KQJ94 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 KQJ84 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 KQJ74 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 KQJ64 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 KQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 KQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 KQJ42 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KQT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KQT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KQT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 KQT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 KQT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KQT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KQT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KQ984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KQ974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KQ964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KQ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KQ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KQ942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KQ874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KQ864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KQ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KQ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KQ842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KQ764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KQ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KQ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KQ742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KQ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 KQ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KQ642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 KQ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 KQ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KQ432 high card 1,020 1.64% 1 : 59.8 1.64%