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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 KJs AKQJ4 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKQT4 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKQ94 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKQ84 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKQ74 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKQ64 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKQ54 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKQ43 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQ42 flush 4 0.01% 1 : 15515 99.95%
10 JTs AQJT4 flush 4 0.01% 1 : 15515 99.94%
11 J9s AQJ94 flush 4 0.01% 1 : 15515 99.94%
12 J8s AQJ84 flush 4 0.01% 1 : 15515 99.93%
13 J7s AQJ74 flush 4 0.01% 1 : 15515 99.92%
14 J6s AQJ64 flush 4 0.01% 1 : 15515 99.92%
15 J5s AQJ54 flush 4 0.01% 1 : 15515 99.91%
16 J3s AQJ43 flush 4 0.01% 1 : 15515 99.90%
17 J2s AQJ42 flush 4 0.01% 1 : 15515 99.90%
18 T9s AQT94 flush 4 0.01% 1 : 15515 99.89%
19 T8s AQT84 flush 4 0.01% 1 : 15515 99.88%
20 T7s AQT74 flush 4 0.01% 1 : 15515 99.88%
21 T6s AQT64 flush 4 0.01% 1 : 15515 99.87%
22 T5s AQT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s AQT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s AQT42 flush 4 0.01% 1 : 15515 99.85%
25 98s AQ984 flush 4 0.01% 1 : 15515 99.85%
26 97s AQ974 flush 4 0.01% 1 : 15515 99.84%
27 96s AQ964 flush 4 0.01% 1 : 15515 99.83%
28 95s AQ954 flush 4 0.01% 1 : 15515 99.83%
29 93s AQ943 flush 4 0.01% 1 : 15515 99.82%
30 92s AQ942 flush 4 0.01% 1 : 15515 99.81%
31 87s AQ874 flush 4 0.01% 1 : 15515 99.81%
32 86s AQ864 flush 4 0.01% 1 : 15515 99.80%
33 85s AQ854 flush 4 0.01% 1 : 15515 99.79%
34 83s AQ843 flush 4 0.01% 1 : 15515 99.79%
35 82s AQ842 flush 4 0.01% 1 : 15515 99.78%
36 76s AQ764 flush 4 0.01% 1 : 15515 99.77%
37 75s AQ754 flush 4 0.01% 1 : 15515 99.77%
38 73s AQ743 flush 4 0.01% 1 : 15515 99.76%
39 72s AQ742 flush 4 0.01% 1 : 15515 99.76%
40 65s AQ654 flush 4 0.01% 1 : 15515 99.75%
41 63s AQ643 flush 4 0.01% 1 : 15515 99.74%
42 62s AQ642 flush 4 0.01% 1 : 15515 99.74%
43 53s AQ543 flush 4 0.01% 1 : 15515 99.73%
44 52s AQ542 flush 4 0.01% 1 : 15515 99.72%
45 32s AQ432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAQ4 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ AQQQ4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 AQ444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AQ AAQQ4 two pairs 144 0.23% 1 : 430 99.40%
50 A4 AAQ44 two pairs 144 0.23% 1 : 430 99.17%
51 Q4 AQQ44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKQ4 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAQJ4 one pair 384 0.62% 1 : 161 98.09%
54 AT AAQT4 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAQ94 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAQ84 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAQ74 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAQ64 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAQ54 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAQ43 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAQ42 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKQ4 one pair 384 0.62% 1 : 161 92.52%
63 KQ AKQQ4 one pair 384 0.62% 1 : 161 91.90%
64 QJ AQQJ4 one pair 384 0.62% 1 : 161 91.28%
65 QT AQQT4 one pair 384 0.62% 1 : 161 90.66%
66 Q9 AQQ94 one pair 384 0.62% 1 : 161 90.04%
67 Q8 AQQ84 one pair 384 0.62% 1 : 161 89.42%
68 Q7 AQQ74 one pair 384 0.62% 1 : 161 88.81%
69 Q6 AQQ64 one pair 384 0.62% 1 : 161 88.19%
70 Q5 AQQ54 one pair 384 0.62% 1 : 161 87.57%
71 Q3 AQQ43 one pair 384 0.62% 1 : 161 86.95%
72 Q2 AQQ42 one pair 384 0.62% 1 : 161 86.33%
73 JJ AQJJ4 one pair 384 0.62% 1 : 161 85.71%
74 TT AQTT4 one pair 384 0.62% 1 : 161 85.09%
75 99 AQ994 one pair 384 0.62% 1 : 161 84.47%
76 88 AQ884 one pair 384 0.62% 1 : 161 83.86%
77 77 AQ774 one pair 384 0.62% 1 : 161 83.24%
78 66 AQ664 one pair 384 0.62% 1 : 161 82.62%
79 55 AQ554 one pair 384 0.62% 1 : 161 82.00%
80 K4 AKQ44 one pair 384 0.62% 1 : 161 81.38%
81 J4 AQJ44 one pair 384 0.62% 1 : 161 80.76%
82 T4 AQT44 one pair 384 0.62% 1 : 161 80.14%
83 94 AQ944 one pair 384 0.62% 1 : 161 79.52%
84 84 AQ844 one pair 384 0.62% 1 : 161 78.91%
85 74 AQ744 one pair 384 0.62% 1 : 161 78.29%
86 64 AQ644 one pair 384 0.62% 1 : 161 77.67%
87 54 AQ544 one pair 384 0.62% 1 : 161 77.05%
88 43 AQ443 one pair 384 0.62% 1 : 161 76.43%
89 42 AQ442 one pair 384 0.62% 1 : 161 75.81%
90 33 AQ433 one pair 384 0.62% 1 : 161 75.19%
91 22 AQ422 one pair 384 0.62% 1 : 161 74.57%
 
92 KJ AKQJ4 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKQT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKQ94 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKQ84 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKQ74 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKQ64 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKQ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKQ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQ42 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AQJ94 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AQJ84 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AQJ74 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 AQJ64 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 AQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AQJ42 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AQT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AQT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AQT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AQT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AQT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AQT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AQT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AQ984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AQ974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AQ964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AQ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AQ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AQ942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AQ874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AQ864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AQ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AQ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AQ842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AQ764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AQ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AQ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AQ742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AQ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 AQ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AQ642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 AQ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 AQ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AQ432 high card 1,020 1.64% 1 : 59.8 1.64%