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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 AKQ76 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ76 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT76 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ976 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ876 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQ765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQ764 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ763 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ762 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ76 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT76 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ976 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ876 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQ765 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQ764 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ763 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ762 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT76 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ976 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ764 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ763 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ762 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT976 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s QT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT764 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT763 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT762 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9876 flush 4 0.01% 1 : 15515 99.81%
32 95s Q9765 flush 4 0.01% 1 : 15515 99.80%
33 94s Q9764 flush 4 0.01% 1 : 15515 99.79%
34 93s Q9763 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9762 flush 4 0.01% 1 : 15515 99.78%
36 85s Q8765 flush 4 0.01% 1 : 15515 99.77%
37 84s Q8764 flush 4 0.01% 1 : 15515 99.77%
38 83s Q8763 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8762 flush 4 0.01% 1 : 15515 99.76%
40 54s Q7654 flush 4 0.01% 1 : 15515 99.75%
41 53s Q7653 flush 4 0.01% 1 : 15515 99.74%
42 52s Q7652 flush 4 0.01% 1 : 15515 99.74%
43 43s Q7643 flush 4 0.01% 1 : 15515 99.73%
44 42s Q7642 flush 4 0.01% 1 : 15515 99.72%
45 32s Q7632 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ76 three of a kind 64 0.10% 1 : 969 99.71%
47 77 Q7776 three of a kind 64 0.10% 1 : 969 99.61%
48 66 Q7666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q7 QQ776 two pairs 144 0.23% 1 : 430 99.40%
50 Q6 QQ766 two pairs 144 0.23% 1 : 430 99.17%
51 76 Q7766 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ76 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ76 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ76 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ76 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ76 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT76 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ976 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ876 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQ765 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQ764 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ763 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ762 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ76 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT76 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9976 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8876 one pair 384 0.62% 1 : 161 89.42%
68 A7 AQ776 one pair 384 0.62% 1 : 161 88.81%
69 K7 KQ776 one pair 384 0.62% 1 : 161 88.19%
70 J7 QJ776 one pair 384 0.62% 1 : 161 87.57%
71 T7 QT776 one pair 384 0.62% 1 : 161 86.95%
72 97 Q9776 one pair 384 0.62% 1 : 161 86.33%
73 87 Q8776 one pair 384 0.62% 1 : 161 85.71%
74 75 Q7765 one pair 384 0.62% 1 : 161 85.09%
75 74 Q7764 one pair 384 0.62% 1 : 161 84.47%
76 73 Q7763 one pair 384 0.62% 1 : 161 83.86%
77 72 Q7762 one pair 384 0.62% 1 : 161 83.24%
78 A6 AQ766 one pair 384 0.62% 1 : 161 82.62%
79 K6 KQ766 one pair 384 0.62% 1 : 161 82.00%
80 J6 QJ766 one pair 384 0.62% 1 : 161 81.38%
81 T6 QT766 one pair 384 0.62% 1 : 161 80.76%
82 96 Q9766 one pair 384 0.62% 1 : 161 80.14%
83 86 Q8766 one pair 384 0.62% 1 : 161 79.52%
84 65 Q7665 one pair 384 0.62% 1 : 161 78.91%
85 64 Q7664 one pair 384 0.62% 1 : 161 78.29%
86 63 Q7663 one pair 384 0.62% 1 : 161 77.67%
87 62 Q7662 one pair 384 0.62% 1 : 161 77.05%
88 55 Q7655 one pair 384 0.62% 1 : 161 76.43%
89 44 Q7644 one pair 384 0.62% 1 : 161 75.81%
90 33 Q7633 one pair 384 0.62% 1 : 161 75.19%
91 22 Q7622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ76 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ76 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT76 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ976 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ876 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQ765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQ764 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ763 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ762 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ76 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT76 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ976 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQ764 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ763 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ762 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT76 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ976 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ764 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ763 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ762 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT976 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 QT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT764 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT763 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT762 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 Q9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 Q9764 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 Q9763 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9762 high card 1,020 1.64% 1 : 59.8 18.08%
127 85 Q8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 Q8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 Q8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 Q7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 Q7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 Q7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q7643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q7642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q7632 high card 1,020 1.64% 1 : 59.8 1.64%