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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 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 QTs AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 Q9s AKQJ9 flush 4 0.01% 1 : 15515 99.99%
3 Q8s AKQJ8 flush 4 0.01% 1 : 15515 99.99%
4 Q7s AKQJ7 flush 4 0.01% 1 : 15515 99.98%
5 Q6s AKQJ6 flush 4 0.01% 1 : 15515 99.97%
6 Q5s AKQJ5 flush 4 0.01% 1 : 15515 99.97%
7 Q4s AKQJ4 flush 4 0.01% 1 : 15515 99.96%
8 Q3s AKQJ3 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQJ2 flush 4 0.01% 1 : 15515 99.95%
10 T9s AKJT9 flush 4 0.01% 1 : 15515 99.94%
11 T8s AKJT8 flush 4 0.01% 1 : 15515 99.94%
12 T7s AKJT7 flush 4 0.01% 1 : 15515 99.93%
13 T6s AKJT6 flush 4 0.01% 1 : 15515 99.92%
14 T5s AKJT5 flush 4 0.01% 1 : 15515 99.92%
15 T4s AKJT4 flush 4 0.01% 1 : 15515 99.91%
16 T3s AKJT3 flush 4 0.01% 1 : 15515 99.90%
17 T2s AKJT2 flush 4 0.01% 1 : 15515 99.90%
18 98s AKJ98 flush 4 0.01% 1 : 15515 99.89%
19 97s AKJ97 flush 4 0.01% 1 : 15515 99.88%
20 96s AKJ96 flush 4 0.01% 1 : 15515 99.88%
21 95s AKJ95 flush 4 0.01% 1 : 15515 99.87%
22 94s AKJ94 flush 4 0.01% 1 : 15515 99.86%
23 93s AKJ93 flush 4 0.01% 1 : 15515 99.86%
24 92s AKJ92 flush 4 0.01% 1 : 15515 99.85%
25 87s AKJ87 flush 4 0.01% 1 : 15515 99.85%
26 86s AKJ86 flush 4 0.01% 1 : 15515 99.84%
27 85s AKJ85 flush 4 0.01% 1 : 15515 99.83%
28 84s AKJ84 flush 4 0.01% 1 : 15515 99.83%
29 83s AKJ83 flush 4 0.01% 1 : 15515 99.82%
30 82s AKJ82 flush 4 0.01% 1 : 15515 99.81%
31 76s AKJ76 flush 4 0.01% 1 : 15515 99.81%
32 75s AKJ75 flush 4 0.01% 1 : 15515 99.80%
33 74s AKJ74 flush 4 0.01% 1 : 15515 99.79%
34 73s AKJ73 flush 4 0.01% 1 : 15515 99.79%
35 72s AKJ72 flush 4 0.01% 1 : 15515 99.78%
36 65s AKJ65 flush 4 0.01% 1 : 15515 99.77%
37 64s AKJ64 flush 4 0.01% 1 : 15515 99.77%
38 63s AKJ63 flush 4 0.01% 1 : 15515 99.76%
39 62s AKJ62 flush 4 0.01% 1 : 15515 99.76%
40 54s AKJ54 flush 4 0.01% 1 : 15515 99.75%
41 53s AKJ53 flush 4 0.01% 1 : 15515 99.74%
42 52s AKJ52 flush 4 0.01% 1 : 15515 99.74%
43 43s AKJ43 flush 4 0.01% 1 : 15515 99.73%
44 42s AKJ42 flush 4 0.01% 1 : 15515 99.72%
45 32s AKJ32 flush 4 0.01% 1 : 15515 99.72%
 
46 QT AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAAKJ three of a kind 64 0.10% 1 : 969 98.07%
48 KK AKKKJ three of a kind 64 0.10% 1 : 969 97.96%
49 JJ AKJJJ three of a kind 64 0.10% 1 : 969 97.86%
 
50 AK AAKKJ two pairs 144 0.23% 1 : 430 97.76%
51 AJ AAKJJ two pairs 144 0.23% 1 : 430 97.53%
52 KJ AKKJJ two pairs 144 0.23% 1 : 430 97.29%
 
53 AQ AAKQJ one pair 384 0.62% 1 : 161 97.06%
54 AT AAKJT one pair 384 0.62% 1 : 161 96.44%
55 A9 AAKJ9 one pair 384 0.62% 1 : 161 95.82%
56 A8 AAKJ8 one pair 384 0.62% 1 : 161 95.20%
57 A7 AAKJ7 one pair 384 0.62% 1 : 161 94.59%
58 A6 AAKJ6 one pair 384 0.62% 1 : 161 93.97%
59 A5 AAKJ5 one pair 384 0.62% 1 : 161 93.35%
60 A4 AAKJ4 one pair 384 0.62% 1 : 161 92.73%
61 A3 AAKJ3 one pair 384 0.62% 1 : 161 92.11%
62 A2 AAKJ2 one pair 384 0.62% 1 : 161 91.49%
63 KQ AKKQJ one pair 384 0.62% 1 : 161 90.87%
64 KT AKKJT one pair 384 0.62% 1 : 161 90.26%
65 K9 AKKJ9 one pair 384 0.62% 1 : 161 89.64%
66 K8 AKKJ8 one pair 384 0.62% 1 : 161 89.02%
67 K7 AKKJ7 one pair 384 0.62% 1 : 161 88.40%
68 K6 AKKJ6 one pair 384 0.62% 1 : 161 87.78%
69 K5 AKKJ5 one pair 384 0.62% 1 : 161 87.16%
70 K4 AKKJ4 one pair 384 0.62% 1 : 161 86.54%
71 K3 AKKJ3 one pair 384 0.62% 1 : 161 85.92%
72 K2 AKKJ2 one pair 384 0.62% 1 : 161 85.31%
73 QQ AKQQJ one pair 384 0.62% 1 : 161 84.69%
74 QJ AKQJJ one pair 384 0.62% 1 : 161 84.07%
75 JT AKJJT one pair 384 0.62% 1 : 161 83.45%
76 J9 AKJJ9 one pair 384 0.62% 1 : 161 82.83%
77 J8 AKJJ8 one pair 384 0.62% 1 : 161 82.21%
78 J7 AKJJ7 one pair 384 0.62% 1 : 161 81.59%
79 J6 AKJJ6 one pair 384 0.62% 1 : 161 80.97%
80 J5 AKJJ5 one pair 384 0.62% 1 : 161 80.36%
81 J4 AKJJ4 one pair 384 0.62% 1 : 161 79.74%
82 J3 AKJJ3 one pair 384 0.62% 1 : 161 79.12%
83 J2 AKJJ2 one pair 384 0.62% 1 : 161 78.50%
84 TT AKJTT one pair 384 0.62% 1 : 161 77.88%
85 99 AKJ99 one pair 384 0.62% 1 : 161 77.26%
86 88 AKJ88 one pair 384 0.62% 1 : 161 76.64%
87 77 AKJ77 one pair 384 0.62% 1 : 161 76.02%
88 66 AKJ66 one pair 384 0.62% 1 : 161 75.41%
89 55 AKJ55 one pair 384 0.62% 1 : 161 74.79%
90 44 AKJ44 one pair 384 0.62% 1 : 161 74.17%
91 33 AKJ33 one pair 384 0.62% 1 : 161 73.55%
92 22 AKJ22 one pair 384 0.62% 1 : 161 72.93%
 
93 Q9 AKQJ9 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q8 AKQJ8 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q7 AKQJ7 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q6 AKQJ6 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q5 AKQJ5 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q4 AKQJ4 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q3 AKQJ3 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQJ2 high card 1,020 1.64% 1 : 59.8 60.81%
101 T9 AKJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 T8 AKJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 T7 AKJT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 T6 AKJT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 T5 AKJT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 T4 AKJT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 T3 AKJT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 T2 AKJT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 AKJ98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 AKJ97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 AKJ96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 AKJ95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 AKJ94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 AKJ93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 AKJ92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AKJ87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AKJ86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AKJ85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AKJ84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AKJ83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AKJ82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AKJ76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AKJ75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AKJ74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AKJ73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AKJ72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AKJ65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AKJ64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AKJ63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AKJ62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AKJ54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AKJ53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AKJ52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AKJ43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AKJ42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AKJ32 high card 1,020 1.64% 1 : 59.8 1.64%