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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 AQs AKQ98 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ98 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT98 flush 4 0.01% 1 : 15515 99.99%
4 A7s AK987 flush 4 0.01% 1 : 15515 99.98%
5 A6s AK986 flush 4 0.01% 1 : 15515 99.97%
6 A5s AK985 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK984 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK983 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK982 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ98 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s KQ987 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQ986 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQ985 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ984 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ983 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ982 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT98 flush 4 0.01% 1 : 15515 99.89%
19 J7s KJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s KJ986 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJ985 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ984 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ983 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ982 flush 4 0.01% 1 : 15515 99.85%
25 T7s KT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s KT986 flush 4 0.01% 1 : 15515 99.84%
27 T5s KT985 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT984 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT983 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT982 flush 4 0.01% 1 : 15515 99.81%
31 76s K9876 flush 4 0.01% 1 : 15515 99.81%
32 75s K9875 flush 4 0.01% 1 : 15515 99.80%
33 74s K9874 flush 4 0.01% 1 : 15515 99.79%
34 73s K9873 flush 4 0.01% 1 : 15515 99.79%
35 72s K9872 flush 4 0.01% 1 : 15515 99.78%
36 65s K9865 flush 4 0.01% 1 : 15515 99.77%
37 64s K9864 flush 4 0.01% 1 : 15515 99.77%
38 63s K9863 flush 4 0.01% 1 : 15515 99.76%
39 62s K9862 flush 4 0.01% 1 : 15515 99.76%
40 54s K9854 flush 4 0.01% 1 : 15515 99.75%
41 53s K9853 flush 4 0.01% 1 : 15515 99.74%
42 52s K9852 flush 4 0.01% 1 : 15515 99.74%
43 43s K9843 flush 4 0.01% 1 : 15515 99.73%
44 42s K9842 flush 4 0.01% 1 : 15515 99.72%
45 32s K9832 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK98 three of a kind 64 0.10% 1 : 969 99.71%
47 99 K9998 three of a kind 64 0.10% 1 : 969 99.61%
48 88 K9888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K9 KK998 two pairs 144 0.23% 1 : 430 99.40%
50 K8 KK988 two pairs 144 0.23% 1 : 430 99.17%
51 98 K9988 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK98 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK98 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ98 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ98 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT98 one pair 384 0.62% 1 : 161 96.23%
57 K7 KK987 one pair 384 0.62% 1 : 161 95.61%
58 K6 KK986 one pair 384 0.62% 1 : 161 94.99%
59 K5 KK985 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK984 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK983 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK982 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ98 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ98 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT98 one pair 384 0.62% 1 : 161 90.66%
66 A9 AK998 one pair 384 0.62% 1 : 161 90.04%
67 Q9 KQ998 one pair 384 0.62% 1 : 161 89.42%
68 J9 KJ998 one pair 384 0.62% 1 : 161 88.81%
69 T9 KT998 one pair 384 0.62% 1 : 161 88.19%
70 97 K9987 one pair 384 0.62% 1 : 161 87.57%
71 96 K9986 one pair 384 0.62% 1 : 161 86.95%
72 95 K9985 one pair 384 0.62% 1 : 161 86.33%
73 94 K9984 one pair 384 0.62% 1 : 161 85.71%
74 93 K9983 one pair 384 0.62% 1 : 161 85.09%
75 92 K9982 one pair 384 0.62% 1 : 161 84.47%
76 A8 AK988 one pair 384 0.62% 1 : 161 83.86%
77 Q8 KQ988 one pair 384 0.62% 1 : 161 83.24%
78 J8 KJ988 one pair 384 0.62% 1 : 161 82.62%
79 T8 KT988 one pair 384 0.62% 1 : 161 82.00%
80 87 K9887 one pair 384 0.62% 1 : 161 81.38%
81 86 K9886 one pair 384 0.62% 1 : 161 80.76%
82 85 K9885 one pair 384 0.62% 1 : 161 80.14%
83 84 K9884 one pair 384 0.62% 1 : 161 79.52%
84 83 K9883 one pair 384 0.62% 1 : 161 78.91%
85 82 K9882 one pair 384 0.62% 1 : 161 78.29%
86 77 K9877 one pair 384 0.62% 1 : 161 77.67%
87 66 K9866 one pair 384 0.62% 1 : 161 77.05%
88 55 K9855 one pair 384 0.62% 1 : 161 76.43%
89 44 K9844 one pair 384 0.62% 1 : 161 75.81%
90 33 K9833 one pair 384 0.62% 1 : 161 75.19%
91 22 K9822 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ98 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ98 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT98 high card 1,020 1.64% 1 : 59.8 70.67%
95 A7 AK987 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AK986 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AK985 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK984 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK983 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK982 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ98 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 KQ987 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQ986 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQ985 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ984 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ983 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ982 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 KJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 KJ986 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJ985 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ984 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ983 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ982 high card 1,020 1.64% 1 : 59.8 36.16%
116 T7 KT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 KT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 KT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 K9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 K9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 K9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 K9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 K9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 K9865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 K9864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 K9863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 K9862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 K9854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 K9853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 K9852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K9843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K9842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K9832 high card 1,020 1.64% 1 : 59.8 1.64%