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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 KTs AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 K9s AKQJ9 flush 4 0.01% 1 : 15515 99.99%
3 K8s AKQJ8 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKQJ7 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKQJ6 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKQJ5 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKQJ4 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKQJ3 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQJ2 flush 4 0.01% 1 : 15515 99.95%
10 T9s AQJT9 flush 4 0.01% 1 : 15515 99.94%
11 T8s AQJT8 flush 4 0.01% 1 : 15515 99.94%
12 T7s AQJT7 flush 4 0.01% 1 : 15515 99.93%
13 T6s AQJT6 flush 4 0.01% 1 : 15515 99.92%
14 T5s AQJT5 flush 4 0.01% 1 : 15515 99.92%
15 T4s AQJT4 flush 4 0.01% 1 : 15515 99.91%
16 T3s AQJT3 flush 4 0.01% 1 : 15515 99.90%
17 T2s AQJT2 flush 4 0.01% 1 : 15515 99.90%
18 98s AQJ98 flush 4 0.01% 1 : 15515 99.89%
19 97s AQJ97 flush 4 0.01% 1 : 15515 99.88%
20 96s AQJ96 flush 4 0.01% 1 : 15515 99.88%
21 95s AQJ95 flush 4 0.01% 1 : 15515 99.87%
22 94s AQJ94 flush 4 0.01% 1 : 15515 99.86%
23 93s AQJ93 flush 4 0.01% 1 : 15515 99.86%
24 92s AQJ92 flush 4 0.01% 1 : 15515 99.85%
25 87s AQJ87 flush 4 0.01% 1 : 15515 99.85%
26 86s AQJ86 flush 4 0.01% 1 : 15515 99.84%
27 85s AQJ85 flush 4 0.01% 1 : 15515 99.83%
28 84s AQJ84 flush 4 0.01% 1 : 15515 99.83%
29 83s AQJ83 flush 4 0.01% 1 : 15515 99.82%
30 82s AQJ82 flush 4 0.01% 1 : 15515 99.81%
31 76s AQJ76 flush 4 0.01% 1 : 15515 99.81%
32 75s AQJ75 flush 4 0.01% 1 : 15515 99.80%
33 74s AQJ74 flush 4 0.01% 1 : 15515 99.79%
34 73s AQJ73 flush 4 0.01% 1 : 15515 99.79%
35 72s AQJ72 flush 4 0.01% 1 : 15515 99.78%
36 65s AQJ65 flush 4 0.01% 1 : 15515 99.77%
37 64s AQJ64 flush 4 0.01% 1 : 15515 99.77%
38 63s AQJ63 flush 4 0.01% 1 : 15515 99.76%
39 62s AQJ62 flush 4 0.01% 1 : 15515 99.76%
40 54s AQJ54 flush 4 0.01% 1 : 15515 99.75%
41 53s AQJ53 flush 4 0.01% 1 : 15515 99.74%
42 52s AQJ52 flush 4 0.01% 1 : 15515 99.74%
43 43s AQJ43 flush 4 0.01% 1 : 15515 99.73%
44 42s AQJ42 flush 4 0.01% 1 : 15515 99.72%
45 32s AQJ32 flush 4 0.01% 1 : 15515 99.72%
 
46 KT AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAAQJ three of a kind 64 0.10% 1 : 969 98.07%
48 QQ AQQQJ three of a kind 64 0.10% 1 : 969 97.96%
49 JJ AQJJJ three of a kind 64 0.10% 1 : 969 97.86%
 
50 AQ AAQQJ two pairs 144 0.23% 1 : 430 97.76%
51 AJ AAQJJ two pairs 144 0.23% 1 : 430 97.53%
52 QJ AQQJJ two pairs 144 0.23% 1 : 430 97.29%
 
53 AK AAKQJ one pair 384 0.62% 1 : 161 97.06%
54 AT AAQJT one pair 384 0.62% 1 : 161 96.44%
55 A9 AAQJ9 one pair 384 0.62% 1 : 161 95.82%
56 A8 AAQJ8 one pair 384 0.62% 1 : 161 95.20%
57 A7 AAQJ7 one pair 384 0.62% 1 : 161 94.59%
58 A6 AAQJ6 one pair 384 0.62% 1 : 161 93.97%
59 A5 AAQJ5 one pair 384 0.62% 1 : 161 93.35%
60 A4 AAQJ4 one pair 384 0.62% 1 : 161 92.73%
61 A3 AAQJ3 one pair 384 0.62% 1 : 161 92.11%
62 A2 AAQJ2 one pair 384 0.62% 1 : 161 91.49%
63 KK AKKQJ one pair 384 0.62% 1 : 161 90.87%
64 KQ AKQQJ one pair 384 0.62% 1 : 161 90.26%
65 QT AQQJT one pair 384 0.62% 1 : 161 89.64%
66 Q9 AQQJ9 one pair 384 0.62% 1 : 161 89.02%
67 Q8 AQQJ8 one pair 384 0.62% 1 : 161 88.40%
68 Q7 AQQJ7 one pair 384 0.62% 1 : 161 87.78%
69 Q6 AQQJ6 one pair 384 0.62% 1 : 161 87.16%
70 Q5 AQQJ5 one pair 384 0.62% 1 : 161 86.54%
71 Q4 AQQJ4 one pair 384 0.62% 1 : 161 85.92%
72 Q3 AQQJ3 one pair 384 0.62% 1 : 161 85.31%
73 Q2 AQQJ2 one pair 384 0.62% 1 : 161 84.69%
74 KJ AKQJJ one pair 384 0.62% 1 : 161 84.07%
75 JT AQJJT one pair 384 0.62% 1 : 161 83.45%
76 J9 AQJJ9 one pair 384 0.62% 1 : 161 82.83%
77 J8 AQJJ8 one pair 384 0.62% 1 : 161 82.21%
78 J7 AQJJ7 one pair 384 0.62% 1 : 161 81.59%
79 J6 AQJJ6 one pair 384 0.62% 1 : 161 80.97%
80 J5 AQJJ5 one pair 384 0.62% 1 : 161 80.36%
81 J4 AQJJ4 one pair 384 0.62% 1 : 161 79.74%
82 J3 AQJJ3 one pair 384 0.62% 1 : 161 79.12%
83 J2 AQJJ2 one pair 384 0.62% 1 : 161 78.50%
84 TT AQJTT one pair 384 0.62% 1 : 161 77.88%
85 99 AQJ99 one pair 384 0.62% 1 : 161 77.26%
86 88 AQJ88 one pair 384 0.62% 1 : 161 76.64%
87 77 AQJ77 one pair 384 0.62% 1 : 161 76.02%
88 66 AQJ66 one pair 384 0.62% 1 : 161 75.41%
89 55 AQJ55 one pair 384 0.62% 1 : 161 74.79%
90 44 AQJ44 one pair 384 0.62% 1 : 161 74.17%
91 33 AQJ33 one pair 384 0.62% 1 : 161 73.55%
92 22 AQJ22 one pair 384 0.62% 1 : 161 72.93%
 
93 K9 AKQJ9 high card 1,020 1.64% 1 : 59.8 72.31%
94 K8 AKQJ8 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKQJ7 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKQJ6 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKQJ5 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKQJ4 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKQJ3 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQJ2 high card 1,020 1.64% 1 : 59.8 60.81%
101 T9 AQJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 T8 AQJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 T7 AQJT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 T6 AQJT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 T5 AQJT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 T4 AQJT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 T3 AQJT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 T2 AQJT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 AQJ98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 AQJ97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 AQJ96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 AQJ95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 AQJ94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 AQJ93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 AQJ92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AQJ87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AQJ86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AQJ85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AQJ84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AQJ83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AQJ82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AQJ76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AQJ75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AQJ74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AQJ73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AQJ72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AQJ65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AQJ64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AQJ63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AQJ62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AQJ54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AQJ53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AQJ52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AQJ43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AQJ42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AQJ32 high card 1,020 1.64% 1 : 59.8 1.64%