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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 QJs AKQJ8 flush 4 0.01% 1 : 15515 100.00%
2 QTs AKQT8 flush 4 0.01% 1 : 15515 99.99%
3 Q9s AKQ98 flush 4 0.01% 1 : 15515 99.99%
4 Q7s AKQ87 flush 4 0.01% 1 : 15515 99.98%
5 Q6s AKQ86 flush 4 0.01% 1 : 15515 99.97%
6 Q5s AKQ85 flush 4 0.01% 1 : 15515 99.97%
7 Q4s AKQ84 flush 4 0.01% 1 : 15515 99.96%
8 Q3s AKQ83 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQ82 flush 4 0.01% 1 : 15515 99.95%
10 JTs AKJT8 flush 4 0.01% 1 : 15515 99.94%
11 J9s AKJ98 flush 4 0.01% 1 : 15515 99.94%
12 J7s AKJ87 flush 4 0.01% 1 : 15515 99.93%
13 J6s AKJ86 flush 4 0.01% 1 : 15515 99.92%
14 J5s AKJ85 flush 4 0.01% 1 : 15515 99.92%
15 J4s AKJ84 flush 4 0.01% 1 : 15515 99.91%
16 J3s AKJ83 flush 4 0.01% 1 : 15515 99.90%
17 J2s AKJ82 flush 4 0.01% 1 : 15515 99.90%
18 T9s AKT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s AKT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s AKT86 flush 4 0.01% 1 : 15515 99.88%
21 T5s AKT85 flush 4 0.01% 1 : 15515 99.87%
22 T4s AKT84 flush 4 0.01% 1 : 15515 99.86%
23 T3s AKT83 flush 4 0.01% 1 : 15515 99.86%
24 T2s AKT82 flush 4 0.01% 1 : 15515 99.85%
25 97s AK987 flush 4 0.01% 1 : 15515 99.85%
26 96s AK986 flush 4 0.01% 1 : 15515 99.84%
27 95s AK985 flush 4 0.01% 1 : 15515 99.83%
28 94s AK984 flush 4 0.01% 1 : 15515 99.83%
29 93s AK983 flush 4 0.01% 1 : 15515 99.82%
30 92s AK982 flush 4 0.01% 1 : 15515 99.81%
31 76s AK876 flush 4 0.01% 1 : 15515 99.81%
32 75s AK875 flush 4 0.01% 1 : 15515 99.80%
33 74s AK874 flush 4 0.01% 1 : 15515 99.79%
34 73s AK873 flush 4 0.01% 1 : 15515 99.79%
35 72s AK872 flush 4 0.01% 1 : 15515 99.78%
36 65s AK865 flush 4 0.01% 1 : 15515 99.77%
37 64s AK864 flush 4 0.01% 1 : 15515 99.77%
38 63s AK863 flush 4 0.01% 1 : 15515 99.76%
39 62s AK862 flush 4 0.01% 1 : 15515 99.76%
40 54s AK854 flush 4 0.01% 1 : 15515 99.75%
41 53s AK853 flush 4 0.01% 1 : 15515 99.74%
42 52s AK852 flush 4 0.01% 1 : 15515 99.74%
43 43s AK843 flush 4 0.01% 1 : 15515 99.73%
44 42s AK842 flush 4 0.01% 1 : 15515 99.72%
45 32s AK832 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAK8 three of a kind 64 0.10% 1 : 969 99.71%
47 KK AKKK8 three of a kind 64 0.10% 1 : 969 99.61%
48 88 AK888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AK AAKK8 two pairs 144 0.23% 1 : 430 99.40%
50 A8 AAK88 two pairs 144 0.23% 1 : 430 99.17%
51 K8 AKK88 two pairs 144 0.23% 1 : 430 98.94%
 
52 AQ AAKQ8 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAKJ8 one pair 384 0.62% 1 : 161 98.09%
54 AT AAKT8 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAK98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AAK87 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAK86 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAK85 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAK84 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAK83 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAK82 one pair 384 0.62% 1 : 161 93.14%
62 KQ AKKQ8 one pair 384 0.62% 1 : 161 92.52%
63 KJ AKKJ8 one pair 384 0.62% 1 : 161 91.90%
64 KT AKKT8 one pair 384 0.62% 1 : 161 91.28%
65 K9 AKK98 one pair 384 0.62% 1 : 161 90.66%
66 K7 AKK87 one pair 384 0.62% 1 : 161 90.04%
67 K6 AKK86 one pair 384 0.62% 1 : 161 89.42%
68 K5 AKK85 one pair 384 0.62% 1 : 161 88.81%
69 K4 AKK84 one pair 384 0.62% 1 : 161 88.19%
70 K3 AKK83 one pair 384 0.62% 1 : 161 87.57%
71 K2 AKK82 one pair 384 0.62% 1 : 161 86.95%
72 QQ AKQQ8 one pair 384 0.62% 1 : 161 86.33%
73 JJ AKJJ8 one pair 384 0.62% 1 : 161 85.71%
74 TT AKTT8 one pair 384 0.62% 1 : 161 85.09%
75 99 AK998 one pair 384 0.62% 1 : 161 84.47%
76 Q8 AKQ88 one pair 384 0.62% 1 : 161 83.86%
77 J8 AKJ88 one pair 384 0.62% 1 : 161 83.24%
78 T8 AKT88 one pair 384 0.62% 1 : 161 82.62%
79 98 AK988 one pair 384 0.62% 1 : 161 82.00%
80 87 AK887 one pair 384 0.62% 1 : 161 81.38%
81 86 AK886 one pair 384 0.62% 1 : 161 80.76%
82 85 AK885 one pair 384 0.62% 1 : 161 80.14%
83 84 AK884 one pair 384 0.62% 1 : 161 79.52%
84 83 AK883 one pair 384 0.62% 1 : 161 78.91%
85 82 AK882 one pair 384 0.62% 1 : 161 78.29%
86 77 AK877 one pair 384 0.62% 1 : 161 77.67%
87 66 AK866 one pair 384 0.62% 1 : 161 77.05%
88 55 AK855 one pair 384 0.62% 1 : 161 76.43%
89 44 AK844 one pair 384 0.62% 1 : 161 75.81%
90 33 AK833 one pair 384 0.62% 1 : 161 75.19%
91 22 AK822 one pair 384 0.62% 1 : 161 74.57%
 
92 QJ AKQJ8 high card 1,020 1.64% 1 : 59.8 73.96%
93 QT AKQT8 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q9 AKQ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q7 AKQ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q6 AKQ86 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q5 AKQ85 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q4 AKQ84 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q3 AKQ83 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQ82 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AKJT8 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AKJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 J7 AKJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 AKJ86 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AKJ85 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AKJ84 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AKJ83 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AKJ82 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AKT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 AKT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AKT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AKT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AKT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AKT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AKT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 AK987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 AK986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AK985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AK984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AK983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AK982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AK876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AK875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AK874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AK873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AK872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AK865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AK864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AK863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AK862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AK854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AK853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AK852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AK843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AK842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AK832 high card 1,020 1.64% 1 : 59.8 1.64%