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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 AKJ76 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ76 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT76 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ976 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ876 flush 4 0.01% 1 : 15515 99.97%
6 A5s AJ765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJ764 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ763 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ762 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ76 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT76 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ976 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ876 flush 4 0.01% 1 : 15515 99.92%
14 K5s KJ765 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJ764 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ763 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ762 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT76 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ976 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ876 flush 4 0.01% 1 : 15515 99.88%
21 Q5s QJ765 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJ764 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ763 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ762 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT976 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s JT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT764 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT763 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT762 flush 4 0.01% 1 : 15515 99.81%
31 98s J9876 flush 4 0.01% 1 : 15515 99.81%
32 95s J9765 flush 4 0.01% 1 : 15515 99.80%
33 94s J9764 flush 4 0.01% 1 : 15515 99.79%
34 93s J9763 flush 4 0.01% 1 : 15515 99.79%
35 92s J9762 flush 4 0.01% 1 : 15515 99.78%
36 85s J8765 flush 4 0.01% 1 : 15515 99.77%
37 84s J8764 flush 4 0.01% 1 : 15515 99.77%
38 83s J8763 flush 4 0.01% 1 : 15515 99.76%
39 82s J8762 flush 4 0.01% 1 : 15515 99.76%
40 54s J7654 flush 4 0.01% 1 : 15515 99.75%
41 53s J7653 flush 4 0.01% 1 : 15515 99.74%
42 52s J7652 flush 4 0.01% 1 : 15515 99.74%
43 43s J7643 flush 4 0.01% 1 : 15515 99.73%
44 42s J7642 flush 4 0.01% 1 : 15515 99.72%
45 32s J7632 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ76 three of a kind 64 0.10% 1 : 969 99.71%
47 77 J7776 three of a kind 64 0.10% 1 : 969 99.61%
48 66 J7666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J7 JJ776 two pairs 144 0.23% 1 : 430 99.40%
50 J6 JJ766 two pairs 144 0.23% 1 : 430 99.17%
51 76 J7766 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ76 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ76 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ76 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ76 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ76 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ76 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT76 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ976 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ876 one pair 384 0.62% 1 : 161 93.75%
61 J5 JJ765 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJ764 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ763 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ762 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT76 one pair 384 0.62% 1 : 161 90.66%
66 99 J9976 one pair 384 0.62% 1 : 161 90.04%
67 88 J8876 one pair 384 0.62% 1 : 161 89.42%
68 A7 AJ776 one pair 384 0.62% 1 : 161 88.81%
69 K7 KJ776 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QJ776 one pair 384 0.62% 1 : 161 87.57%
71 T7 JT776 one pair 384 0.62% 1 : 161 86.95%
72 97 J9776 one pair 384 0.62% 1 : 161 86.33%
73 87 J8776 one pair 384 0.62% 1 : 161 85.71%
74 75 J7765 one pair 384 0.62% 1 : 161 85.09%
75 74 J7764 one pair 384 0.62% 1 : 161 84.47%
76 73 J7763 one pair 384 0.62% 1 : 161 83.86%
77 72 J7762 one pair 384 0.62% 1 : 161 83.24%
78 A6 AJ766 one pair 384 0.62% 1 : 161 82.62%
79 K6 KJ766 one pair 384 0.62% 1 : 161 82.00%
80 Q6 QJ766 one pair 384 0.62% 1 : 161 81.38%
81 T6 JT766 one pair 384 0.62% 1 : 161 80.76%
82 96 J9766 one pair 384 0.62% 1 : 161 80.14%
83 86 J8766 one pair 384 0.62% 1 : 161 79.52%
84 65 J7665 one pair 384 0.62% 1 : 161 78.91%
85 64 J7664 one pair 384 0.62% 1 : 161 78.29%
86 63 J7663 one pair 384 0.62% 1 : 161 77.67%
87 62 J7662 one pair 384 0.62% 1 : 161 77.05%
88 55 J7655 one pair 384 0.62% 1 : 161 76.43%
89 44 J7644 one pair 384 0.62% 1 : 161 75.81%
90 33 J7633 one pair 384 0.62% 1 : 161 75.19%
91 22 J7622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ76 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ76 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT76 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ976 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ876 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AJ765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJ764 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ763 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ762 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ76 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT76 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ976 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KJ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJ764 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ763 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ762 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT76 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ976 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q5 QJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJ764 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ763 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ762 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT976 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 JT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT764 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT763 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT762 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 J9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 J9764 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9763 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9762 high card 1,020 1.64% 1 : 59.8 18.08%
127 85 J8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 J8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 J8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 J7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 J7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 J7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J7643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J7642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J7632 high card 1,020 1.64% 1 : 59.8 1.64%