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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 1 4 0.01% 1 : 15515
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 JTs QJT98 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKQ98 flush 4 0.01% 1 : 15515 99.99%
3 AJs AQJ98 flush 4 0.01% 1 : 15515 99.99%
4 ATs AQT98 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ987 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ986 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ985 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ984 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQ983 flush 4 0.01% 1 : 15515 99.95%
10 A2s AQ982 flush 4 0.01% 1 : 15515 99.94%
11 KJs KQJ98 flush 4 0.01% 1 : 15515 99.94%
12 KTs KQT98 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ987 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ986 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ985 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ984 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQ983 flush 4 0.01% 1 : 15515 99.90%
18 K2s KQ982 flush 4 0.01% 1 : 15515 99.89%
19 J7s QJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s QJ986 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJ985 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ984 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ983 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ982 flush 4 0.01% 1 : 15515 99.85%
25 T7s QT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s QT986 flush 4 0.01% 1 : 15515 99.84%
27 T5s QT985 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT984 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT983 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT982 flush 4 0.01% 1 : 15515 99.81%
31 76s Q9876 flush 4 0.01% 1 : 15515 99.81%
32 75s Q9875 flush 4 0.01% 1 : 15515 99.80%
33 74s Q9874 flush 4 0.01% 1 : 15515 99.79%
34 73s Q9873 flush 4 0.01% 1 : 15515 99.79%
35 72s Q9872 flush 4 0.01% 1 : 15515 99.78%
36 65s Q9865 flush 4 0.01% 1 : 15515 99.77%
37 64s Q9864 flush 4 0.01% 1 : 15515 99.77%
38 63s Q9863 flush 4 0.01% 1 : 15515 99.76%
39 62s Q9862 flush 4 0.01% 1 : 15515 99.76%
40 54s Q9854 flush 4 0.01% 1 : 15515 99.75%
41 53s Q9853 flush 4 0.01% 1 : 15515 99.74%
42 52s Q9852 flush 4 0.01% 1 : 15515 99.74%
43 43s Q9843 flush 4 0.01% 1 : 15515 99.73%
44 42s Q9842 flush 4 0.01% 1 : 15515 99.72%
45 32s Q9832 flush 4 0.01% 1 : 15515 99.72%
 
46 JT QJT98 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 QQ QQQ98 three of a kind 64 0.10% 1 : 969 98.07%
48 99 Q9998 three of a kind 64 0.10% 1 : 969 97.96%
49 88 Q9888 three of a kind 64 0.10% 1 : 969 97.86%
 
50 Q9 QQ998 two pairs 144 0.23% 1 : 430 97.76%
51 Q8 QQ988 two pairs 144 0.23% 1 : 430 97.53%
52 98 Q9988 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAQ98 one pair 384 0.62% 1 : 161 97.06%
54 KK KKQ98 one pair 384 0.62% 1 : 161 96.44%
55 AQ AQQ98 one pair 384 0.62% 1 : 161 95.82%
56 KQ KQQ98 one pair 384 0.62% 1 : 161 95.20%
57 QJ QQJ98 one pair 384 0.62% 1 : 161 94.59%
58 QT QQT98 one pair 384 0.62% 1 : 161 93.97%
59 Q7 QQ987 one pair 384 0.62% 1 : 161 93.35%
60 Q6 QQ986 one pair 384 0.62% 1 : 161 92.73%
61 Q5 QQ985 one pair 384 0.62% 1 : 161 92.11%
62 Q4 QQ984 one pair 384 0.62% 1 : 161 91.49%
63 Q3 QQ983 one pair 384 0.62% 1 : 161 90.87%
64 Q2 QQ982 one pair 384 0.62% 1 : 161 90.26%
65 JJ QJJ98 one pair 384 0.62% 1 : 161 89.64%
66 TT QTT98 one pair 384 0.62% 1 : 161 89.02%
67 A9 AQ998 one pair 384 0.62% 1 : 161 88.40%
68 K9 KQ998 one pair 384 0.62% 1 : 161 87.78%
69 J9 QJ998 one pair 384 0.62% 1 : 161 87.16%
70 T9 QT998 one pair 384 0.62% 1 : 161 86.54%
71 97 Q9987 one pair 384 0.62% 1 : 161 85.92%
72 96 Q9986 one pair 384 0.62% 1 : 161 85.31%
73 95 Q9985 one pair 384 0.62% 1 : 161 84.69%
74 94 Q9984 one pair 384 0.62% 1 : 161 84.07%
75 93 Q9983 one pair 384 0.62% 1 : 161 83.45%
76 92 Q9982 one pair 384 0.62% 1 : 161 82.83%
77 A8 AQ988 one pair 384 0.62% 1 : 161 82.21%
78 K8 KQ988 one pair 384 0.62% 1 : 161 81.59%
79 J8 QJ988 one pair 384 0.62% 1 : 161 80.97%
80 T8 QT988 one pair 384 0.62% 1 : 161 80.36%
81 87 Q9887 one pair 384 0.62% 1 : 161 79.74%
82 86 Q9886 one pair 384 0.62% 1 : 161 79.12%
83 85 Q9885 one pair 384 0.62% 1 : 161 78.50%
84 84 Q9884 one pair 384 0.62% 1 : 161 77.88%
85 83 Q9883 one pair 384 0.62% 1 : 161 77.26%
86 82 Q9882 one pair 384 0.62% 1 : 161 76.64%
87 77 Q9877 one pair 384 0.62% 1 : 161 76.02%
88 66 Q9866 one pair 384 0.62% 1 : 161 75.41%
89 55 Q9855 one pair 384 0.62% 1 : 161 74.79%
90 44 Q9844 one pair 384 0.62% 1 : 161 74.17%
91 33 Q9833 one pair 384 0.62% 1 : 161 73.55%
92 22 Q9822 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKQ98 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AQJ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AQT98 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ987 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ986 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ985 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ984 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQ983 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AQ982 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KQJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KQT98 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ987 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ986 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ985 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ984 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQ983 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KQ982 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 QJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 QJ986 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJ985 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ984 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ983 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ982 high card 1,020 1.64% 1 : 59.8 36.16%
116 T7 QT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 QT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 QT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 Q9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 Q9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 Q9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 Q9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 Q9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 Q9865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 Q9864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 Q9863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 Q9862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 Q9854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 Q9853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 Q9852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q9843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q9842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q9832 high card 1,020 1.64% 1 : 59.8 1.64%