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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 AKs AKQT2 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJT2 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQT92 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQT82 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQT72 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQT62 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQT52 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQT42 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQT32 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJT2 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQT92 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQT82 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQT72 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQT62 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQT52 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQT42 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQT32 flush 4 0.01% 1 : 15515 99.90%
18 J9s QJT92 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJT82 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJT72 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJT62 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJT52 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJT42 flush 4 0.01% 1 : 15515 99.86%
24 J3s QJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s QT982 flush 4 0.01% 1 : 15515 99.85%
26 97s QT972 flush 4 0.01% 1 : 15515 99.84%
27 96s QT962 flush 4 0.01% 1 : 15515 99.83%
28 95s QT952 flush 4 0.01% 1 : 15515 99.83%
29 94s QT942 flush 4 0.01% 1 : 15515 99.82%
30 93s QT932 flush 4 0.01% 1 : 15515 99.81%
31 87s QT872 flush 4 0.01% 1 : 15515 99.81%
32 86s QT862 flush 4 0.01% 1 : 15515 99.80%
33 85s QT852 flush 4 0.01% 1 : 15515 99.79%
34 84s QT842 flush 4 0.01% 1 : 15515 99.79%
35 83s QT832 flush 4 0.01% 1 : 15515 99.78%
36 76s QT762 flush 4 0.01% 1 : 15515 99.77%
37 75s QT752 flush 4 0.01% 1 : 15515 99.77%
38 74s QT742 flush 4 0.01% 1 : 15515 99.76%
39 73s QT732 flush 4 0.01% 1 : 15515 99.76%
40 65s QT652 flush 4 0.01% 1 : 15515 99.75%
41 64s QT642 flush 4 0.01% 1 : 15515 99.74%
42 63s QT632 flush 4 0.01% 1 : 15515 99.74%
43 54s QT542 flush 4 0.01% 1 : 15515 99.73%
44 53s QT532 flush 4 0.01% 1 : 15515 99.72%
45 43s QT432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQT2 three of a kind 64 0.10% 1 : 969 99.71%
47 TT QTTT2 three of a kind 64 0.10% 1 : 969 99.61%
48 22 QT222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QT QQTT2 two pairs 144 0.23% 1 : 430 99.40%
50 Q2 QQT22 two pairs 144 0.23% 1 : 430 99.17%
51 T2 QTT22 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQT2 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQT2 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQT2 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQT2 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJT2 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQT92 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQT82 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQT72 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQT62 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQT52 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQT42 one pair 384 0.62% 1 : 161 92.52%
63 Q3 QQT32 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJT2 one pair 384 0.62% 1 : 161 91.28%
65 AT AQTT2 one pair 384 0.62% 1 : 161 90.66%
66 KT KQTT2 one pair 384 0.62% 1 : 161 90.04%
67 JT QJTT2 one pair 384 0.62% 1 : 161 89.42%
68 T9 QTT92 one pair 384 0.62% 1 : 161 88.81%
69 T8 QTT82 one pair 384 0.62% 1 : 161 88.19%
70 T7 QTT72 one pair 384 0.62% 1 : 161 87.57%
71 T6 QTT62 one pair 384 0.62% 1 : 161 86.95%
72 T5 QTT52 one pair 384 0.62% 1 : 161 86.33%
73 T4 QTT42 one pair 384 0.62% 1 : 161 85.71%
74 T3 QTT32 one pair 384 0.62% 1 : 161 85.09%
75 99 QT992 one pair 384 0.62% 1 : 161 84.47%
76 88 QT882 one pair 384 0.62% 1 : 161 83.86%
77 77 QT772 one pair 384 0.62% 1 : 161 83.24%
78 66 QT662 one pair 384 0.62% 1 : 161 82.62%
79 55 QT552 one pair 384 0.62% 1 : 161 82.00%
80 44 QT442 one pair 384 0.62% 1 : 161 81.38%
81 33 QT332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AQT22 one pair 384 0.62% 1 : 161 80.14%
83 K2 KQT22 one pair 384 0.62% 1 : 161 79.52%
84 J2 QJT22 one pair 384 0.62% 1 : 161 78.91%
85 92 QT922 one pair 384 0.62% 1 : 161 78.29%
86 82 QT822 one pair 384 0.62% 1 : 161 77.67%
87 72 QT722 one pair 384 0.62% 1 : 161 77.05%
88 62 QT622 one pair 384 0.62% 1 : 161 76.43%
89 52 QT522 one pair 384 0.62% 1 : 161 75.81%
90 42 QT422 one pair 384 0.62% 1 : 161 75.19%
91 32 QT322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQT2 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJT2 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQT92 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQT82 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQT72 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQT62 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQT52 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQT42 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQT32 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQT82 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQT72 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQT62 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQT52 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQT42 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQT32 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 QJT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJT72 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJT62 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJT52 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJT42 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 QJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QT982 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 QT962 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 QT952 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 QT942 high card 1,020 1.64% 1 : 59.8 27.94%
121 93 QT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QT872 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 QT862 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 QT852 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 QT842 high card 1,020 1.64% 1 : 59.8 19.72%
126 83 QT832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 QT762 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 QT752 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 QT742 high card 1,020 1.64% 1 : 59.8 13.15%
130 73 QT732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 QT652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 QT642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 QT632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 QT542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 QT532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 QT432 high card 1,020 1.64% 1 : 59.8 1.64%