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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 AJs AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 J9s KQJT9 straight flush 4 0.01% 1 : 15515 99.99%
 
3 A9s AKQT9 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKQT8 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKQT7 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKQT6 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKQT5 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKQT4 flush 4 0.01% 1 : 15515 99.95%
9 A3s AKQT3 flush 4 0.01% 1 : 15515 99.95%
10 A2s AKQT2 flush 4 0.01% 1 : 15515 99.94%
11 J8s KQJT8 flush 4 0.01% 1 : 15515 99.94%
12 J7s KQJT7 flush 4 0.01% 1 : 15515 99.93%
13 J6s KQJT6 flush 4 0.01% 1 : 15515 99.92%
14 J5s KQJT5 flush 4 0.01% 1 : 15515 99.92%
15 J4s KQJT4 flush 4 0.01% 1 : 15515 99.91%
16 J3s KQJT3 flush 4 0.01% 1 : 15515 99.90%
17 J2s KQJT2 flush 4 0.01% 1 : 15515 99.90%
18 98s KQT98 flush 4 0.01% 1 : 15515 99.89%
19 97s KQT97 flush 4 0.01% 1 : 15515 99.88%
20 96s KQT96 flush 4 0.01% 1 : 15515 99.88%
21 95s KQT95 flush 4 0.01% 1 : 15515 99.87%
22 94s KQT94 flush 4 0.01% 1 : 15515 99.86%
23 93s KQT93 flush 4 0.01% 1 : 15515 99.86%
24 92s KQT92 flush 4 0.01% 1 : 15515 99.85%
25 87s KQT87 flush 4 0.01% 1 : 15515 99.85%
26 86s KQT86 flush 4 0.01% 1 : 15515 99.84%
27 85s KQT85 flush 4 0.01% 1 : 15515 99.83%
28 84s KQT84 flush 4 0.01% 1 : 15515 99.83%
29 83s KQT83 flush 4 0.01% 1 : 15515 99.82%
30 82s KQT82 flush 4 0.01% 1 : 15515 99.81%
31 76s KQT76 flush 4 0.01% 1 : 15515 99.81%
32 75s KQT75 flush 4 0.01% 1 : 15515 99.80%
33 74s KQT74 flush 4 0.01% 1 : 15515 99.79%
34 73s KQT73 flush 4 0.01% 1 : 15515 99.79%
35 72s KQT72 flush 4 0.01% 1 : 15515 99.78%
36 65s KQT65 flush 4 0.01% 1 : 15515 99.77%
37 64s KQT64 flush 4 0.01% 1 : 15515 99.77%
38 63s KQT63 flush 4 0.01% 1 : 15515 99.76%
39 62s KQT62 flush 4 0.01% 1 : 15515 99.76%
40 54s KQT54 flush 4 0.01% 1 : 15515 99.75%
41 53s KQT53 flush 4 0.01% 1 : 15515 99.74%
42 52s KQT52 flush 4 0.01% 1 : 15515 99.74%
43 43s KQT43 flush 4 0.01% 1 : 15515 99.73%
44 42s KQT42 flush 4 0.01% 1 : 15515 99.72%
45 32s KQT32 flush 4 0.01% 1 : 15515 99.72%
 
46 AJ AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
47 J9 KQJT9 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 KK KKKQT three of a kind 64 0.10% 1 : 969 96.42%
49 QQ KQQQT three of a kind 64 0.10% 1 : 969 96.32%
50 TT KQTTT three of a kind 64 0.10% 1 : 969 96.22%
 
51 KQ KKQQT two pairs 144 0.23% 1 : 430 96.11%
52 KT KKQTT two pairs 144 0.23% 1 : 430 95.88%
53 QT KQQTT two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAKQT one pair 384 0.62% 1 : 161 95.42%
55 AK AKKQT one pair 384 0.62% 1 : 161 94.80%
56 KJ KKQJT one pair 384 0.62% 1 : 161 94.18%
57 K9 KKQT9 one pair 384 0.62% 1 : 161 93.56%
58 K8 KKQT8 one pair 384 0.62% 1 : 161 92.94%
59 K7 KKQT7 one pair 384 0.62% 1 : 161 92.32%
60 K6 KKQT6 one pair 384 0.62% 1 : 161 91.71%
61 K5 KKQT5 one pair 384 0.62% 1 : 161 91.09%
62 K4 KKQT4 one pair 384 0.62% 1 : 161 90.47%
63 K3 KKQT3 one pair 384 0.62% 1 : 161 89.85%
64 K2 KKQT2 one pair 384 0.62% 1 : 161 89.23%
65 AQ AKQQT one pair 384 0.62% 1 : 161 88.61%
66 QJ KQQJT one pair 384 0.62% 1 : 161 87.99%
67 Q9 KQQT9 one pair 384 0.62% 1 : 161 87.37%
68 Q8 KQQT8 one pair 384 0.62% 1 : 161 86.76%
69 Q7 KQQT7 one pair 384 0.62% 1 : 161 86.14%
70 Q6 KQQT6 one pair 384 0.62% 1 : 161 85.52%
71 Q5 KQQT5 one pair 384 0.62% 1 : 161 84.90%
72 Q4 KQQT4 one pair 384 0.62% 1 : 161 84.28%
73 Q3 KQQT3 one pair 384 0.62% 1 : 161 83.66%
74 Q2 KQQT2 one pair 384 0.62% 1 : 161 83.04%
75 JJ KQJJT one pair 384 0.62% 1 : 161 82.42%
76 AT AKQTT one pair 384 0.62% 1 : 161 81.81%
77 JT KQJTT one pair 384 0.62% 1 : 161 81.19%
78 T9 KQTT9 one pair 384 0.62% 1 : 161 80.57%
79 T8 KQTT8 one pair 384 0.62% 1 : 161 79.95%
80 T7 KQTT7 one pair 384 0.62% 1 : 161 79.33%
81 T6 KQTT6 one pair 384 0.62% 1 : 161 78.71%
82 T5 KQTT5 one pair 384 0.62% 1 : 161 78.09%
83 T4 KQTT4 one pair 384 0.62% 1 : 161 77.47%
84 T3 KQTT3 one pair 384 0.62% 1 : 161 76.86%
85 T2 KQTT2 one pair 384 0.62% 1 : 161 76.24%
86 99 KQT99 one pair 384 0.62% 1 : 161 75.62%
87 88 KQT88 one pair 384 0.62% 1 : 161 75.00%
88 77 KQT77 one pair 384 0.62% 1 : 161 74.38%
89 66 KQT66 one pair 384 0.62% 1 : 161 73.76%
90 55 KQT55 one pair 384 0.62% 1 : 161 73.14%
91 44 KQT44 one pair 384 0.62% 1 : 161 72.53%
92 33 KQT33 one pair 384 0.62% 1 : 161 71.91%
93 22 KQT22 one pair 384 0.62% 1 : 161 71.29%
 
94 A9 AKQT9 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKQT8 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKQT7 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKQT6 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKQT5 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKQT4 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AKQT3 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AKQT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 J8 KQJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 J7 KQJT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 KQJT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 KQJT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 KQJT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 KQJT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 KQJT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 KQT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 KQT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 KQT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 KQT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 KQT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 KQT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 KQT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 KQT87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 KQT86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 KQT85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 KQT84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 KQT83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 KQT82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 KQT76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 KQT75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 KQT74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 KQT73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 KQT72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KQT65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KQT64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KQT63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KQT62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KQT54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KQT53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KQT52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KQT43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KQT42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KQT32 high card 1,020 1.64% 1 : 59.8 1.64%