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non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 1 4 0.01% 1 : 15515
straight flush 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 ATs AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 T9s KQJT9 straight flush 4 0.01% 1 : 15515 99.99%
 
3 A9s AKQJ9 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKQJ8 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKQJ7 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKQJ6 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKQJ5 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKQJ4 flush 4 0.01% 1 : 15515 99.95%
9 A3s AKQJ3 flush 4 0.01% 1 : 15515 99.95%
10 A2s AKQJ2 flush 4 0.01% 1 : 15515 99.94%
11 T8s KQJT8 flush 4 0.01% 1 : 15515 99.94%
12 T7s KQJT7 flush 4 0.01% 1 : 15515 99.93%
13 T6s KQJT6 flush 4 0.01% 1 : 15515 99.92%
14 T5s KQJT5 flush 4 0.01% 1 : 15515 99.92%
15 T4s KQJT4 flush 4 0.01% 1 : 15515 99.91%
16 T3s KQJT3 flush 4 0.01% 1 : 15515 99.90%
17 T2s KQJT2 flush 4 0.01% 1 : 15515 99.90%
18 98s KQJ98 flush 4 0.01% 1 : 15515 99.89%
19 97s KQJ97 flush 4 0.01% 1 : 15515 99.88%
20 96s KQJ96 flush 4 0.01% 1 : 15515 99.88%
21 95s KQJ95 flush 4 0.01% 1 : 15515 99.87%
22 94s KQJ94 flush 4 0.01% 1 : 15515 99.86%
23 93s KQJ93 flush 4 0.01% 1 : 15515 99.86%
24 92s KQJ92 flush 4 0.01% 1 : 15515 99.85%
25 87s KQJ87 flush 4 0.01% 1 : 15515 99.85%
26 86s KQJ86 flush 4 0.01% 1 : 15515 99.84%
27 85s KQJ85 flush 4 0.01% 1 : 15515 99.83%
28 84s KQJ84 flush 4 0.01% 1 : 15515 99.83%
29 83s KQJ83 flush 4 0.01% 1 : 15515 99.82%
30 82s KQJ82 flush 4 0.01% 1 : 15515 99.81%
31 76s KQJ76 flush 4 0.01% 1 : 15515 99.81%
32 75s KQJ75 flush 4 0.01% 1 : 15515 99.80%
33 74s KQJ74 flush 4 0.01% 1 : 15515 99.79%
34 73s KQJ73 flush 4 0.01% 1 : 15515 99.79%
35 72s KQJ72 flush 4 0.01% 1 : 15515 99.78%
36 65s KQJ65 flush 4 0.01% 1 : 15515 99.77%
37 64s KQJ64 flush 4 0.01% 1 : 15515 99.77%
38 63s KQJ63 flush 4 0.01% 1 : 15515 99.76%
39 62s KQJ62 flush 4 0.01% 1 : 15515 99.76%
40 54s KQJ54 flush 4 0.01% 1 : 15515 99.75%
41 53s KQJ53 flush 4 0.01% 1 : 15515 99.74%
42 52s KQJ52 flush 4 0.01% 1 : 15515 99.74%
43 43s KQJ43 flush 4 0.01% 1 : 15515 99.73%
44 42s KQJ42 flush 4 0.01% 1 : 15515 99.72%
45 32s KQJ32 flush 4 0.01% 1 : 15515 99.72%
 
46 AT AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
47 T9 KQJT9 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 KK KKKQJ three of a kind 64 0.10% 1 : 969 96.42%
49 QQ KQQQJ three of a kind 64 0.10% 1 : 969 96.32%
50 JJ KQJJJ three of a kind 64 0.10% 1 : 969 96.22%
 
51 KQ KKQQJ two pairs 144 0.23% 1 : 430 96.11%
52 KJ KKQJJ two pairs 144 0.23% 1 : 430 95.88%
53 QJ KQQJJ two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAKQJ one pair 384 0.62% 1 : 161 95.42%
55 AK AKKQJ one pair 384 0.62% 1 : 161 94.80%
56 KT KKQJT one pair 384 0.62% 1 : 161 94.18%
57 K9 KKQJ9 one pair 384 0.62% 1 : 161 93.56%
58 K8 KKQJ8 one pair 384 0.62% 1 : 161 92.94%
59 K7 KKQJ7 one pair 384 0.62% 1 : 161 92.32%
60 K6 KKQJ6 one pair 384 0.62% 1 : 161 91.71%
61 K5 KKQJ5 one pair 384 0.62% 1 : 161 91.09%
62 K4 KKQJ4 one pair 384 0.62% 1 : 161 90.47%
63 K3 KKQJ3 one pair 384 0.62% 1 : 161 89.85%
64 K2 KKQJ2 one pair 384 0.62% 1 : 161 89.23%
65 AQ AKQQJ one pair 384 0.62% 1 : 161 88.61%
66 QT KQQJT one pair 384 0.62% 1 : 161 87.99%
67 Q9 KQQJ9 one pair 384 0.62% 1 : 161 87.37%
68 Q8 KQQJ8 one pair 384 0.62% 1 : 161 86.76%
69 Q7 KQQJ7 one pair 384 0.62% 1 : 161 86.14%
70 Q6 KQQJ6 one pair 384 0.62% 1 : 161 85.52%
71 Q5 KQQJ5 one pair 384 0.62% 1 : 161 84.90%
72 Q4 KQQJ4 one pair 384 0.62% 1 : 161 84.28%
73 Q3 KQQJ3 one pair 384 0.62% 1 : 161 83.66%
74 Q2 KQQJ2 one pair 384 0.62% 1 : 161 83.04%
75 AJ AKQJJ one pair 384 0.62% 1 : 161 82.42%
76 JT KQJJT one pair 384 0.62% 1 : 161 81.81%
77 J9 KQJJ9 one pair 384 0.62% 1 : 161 81.19%
78 J8 KQJJ8 one pair 384 0.62% 1 : 161 80.57%
79 J7 KQJJ7 one pair 384 0.62% 1 : 161 79.95%
80 J6 KQJJ6 one pair 384 0.62% 1 : 161 79.33%
81 J5 KQJJ5 one pair 384 0.62% 1 : 161 78.71%
82 J4 KQJJ4 one pair 384 0.62% 1 : 161 78.09%
83 J3 KQJJ3 one pair 384 0.62% 1 : 161 77.47%
84 J2 KQJJ2 one pair 384 0.62% 1 : 161 76.86%
85 TT KQJTT one pair 384 0.62% 1 : 161 76.24%
86 99 KQJ99 one pair 384 0.62% 1 : 161 75.62%
87 88 KQJ88 one pair 384 0.62% 1 : 161 75.00%
88 77 KQJ77 one pair 384 0.62% 1 : 161 74.38%
89 66 KQJ66 one pair 384 0.62% 1 : 161 73.76%
90 55 KQJ55 one pair 384 0.62% 1 : 161 73.14%
91 44 KQJ44 one pair 384 0.62% 1 : 161 72.53%
92 33 KQJ33 one pair 384 0.62% 1 : 161 71.91%
93 22 KQJ22 one pair 384 0.62% 1 : 161 71.29%
 
94 A9 AKQJ9 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKQJ8 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKQJ7 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKQJ6 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKQJ5 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKQJ4 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AKQJ3 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AKQJ2 high card 1,020 1.64% 1 : 59.8 59.16%
102 T8 KQJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 T7 KQJT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 T6 KQJT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 T5 KQJT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 T4 KQJT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 T3 KQJT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 T2 KQJT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 KQJ98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 KQJ97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 KQJ96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 KQJ95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 KQJ94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 KQJ93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 KQJ92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 KQJ87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 KQJ86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 KQJ85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 KQJ84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 KQJ83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 KQJ82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 KQJ76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 KQJ75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 KQJ74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 KQJ73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 KQJ72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KQJ65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KQJ64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KQJ63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KQJ62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KQJ54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KQJ53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KQJ52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KQJ43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KQJ42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KQJ32 high card 1,020 1.64% 1 : 59.8 1.64%