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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 KQs AKQ98 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ98 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT98 flush 4 0.01% 1 : 15515 99.99%
4 K7s AK987 flush 4 0.01% 1 : 15515 99.98%
5 K6s AK986 flush 4 0.01% 1 : 15515 99.97%
6 K5s AK985 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK984 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK983 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK982 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ98 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s AQ987 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQ986 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQ985 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ984 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ983 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ982 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT98 flush 4 0.01% 1 : 15515 99.89%
19 J7s AJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s AJ986 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJ985 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ984 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ983 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ982 flush 4 0.01% 1 : 15515 99.85%
25 T7s AT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s AT986 flush 4 0.01% 1 : 15515 99.84%
27 T5s AT985 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT984 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT983 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT982 flush 4 0.01% 1 : 15515 99.81%
31 76s A9876 flush 4 0.01% 1 : 15515 99.81%
32 75s A9875 flush 4 0.01% 1 : 15515 99.80%
33 74s A9874 flush 4 0.01% 1 : 15515 99.79%
34 73s A9873 flush 4 0.01% 1 : 15515 99.79%
35 72s A9872 flush 4 0.01% 1 : 15515 99.78%
36 65s A9865 flush 4 0.01% 1 : 15515 99.77%
37 64s A9864 flush 4 0.01% 1 : 15515 99.77%
38 63s A9863 flush 4 0.01% 1 : 15515 99.76%
39 62s A9862 flush 4 0.01% 1 : 15515 99.76%
40 54s A9854 flush 4 0.01% 1 : 15515 99.75%
41 53s A9853 flush 4 0.01% 1 : 15515 99.74%
42 52s A9852 flush 4 0.01% 1 : 15515 99.74%
43 43s A9843 flush 4 0.01% 1 : 15515 99.73%
44 42s A9842 flush 4 0.01% 1 : 15515 99.72%
45 32s A9832 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA98 three of a kind 64 0.10% 1 : 969 99.71%
47 99 A9998 three of a kind 64 0.10% 1 : 969 99.61%
48 88 A9888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A9 AA998 two pairs 144 0.23% 1 : 430 99.40%
50 A8 AA988 two pairs 144 0.23% 1 : 430 99.17%
51 98 A9988 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK98 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ98 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ98 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AA987 one pair 384 0.62% 1 : 161 96.23%
57 A6 AA986 one pair 384 0.62% 1 : 161 95.61%
58 A5 AA985 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA984 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA983 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA982 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK98 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ98 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ98 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT98 one pair 384 0.62% 1 : 161 90.66%
66 K9 AK998 one pair 384 0.62% 1 : 161 90.04%
67 Q9 AQ998 one pair 384 0.62% 1 : 161 89.42%
68 J9 AJ998 one pair 384 0.62% 1 : 161 88.81%
69 T9 AT998 one pair 384 0.62% 1 : 161 88.19%
70 97 A9987 one pair 384 0.62% 1 : 161 87.57%
71 96 A9986 one pair 384 0.62% 1 : 161 86.95%
72 95 A9985 one pair 384 0.62% 1 : 161 86.33%
73 94 A9984 one pair 384 0.62% 1 : 161 85.71%
74 93 A9983 one pair 384 0.62% 1 : 161 85.09%
75 92 A9982 one pair 384 0.62% 1 : 161 84.47%
76 K8 AK988 one pair 384 0.62% 1 : 161 83.86%
77 Q8 AQ988 one pair 384 0.62% 1 : 161 83.24%
78 J8 AJ988 one pair 384 0.62% 1 : 161 82.62%
79 T8 AT988 one pair 384 0.62% 1 : 161 82.00%
80 87 A9887 one pair 384 0.62% 1 : 161 81.38%
81 86 A9886 one pair 384 0.62% 1 : 161 80.76%
82 85 A9885 one pair 384 0.62% 1 : 161 80.14%
83 84 A9884 one pair 384 0.62% 1 : 161 79.52%
84 83 A9883 one pair 384 0.62% 1 : 161 78.91%
85 82 A9882 one pair 384 0.62% 1 : 161 78.29%
86 77 A9877 one pair 384 0.62% 1 : 161 77.67%
87 66 A9866 one pair 384 0.62% 1 : 161 77.05%
88 55 A9855 one pair 384 0.62% 1 : 161 76.43%
89 44 A9844 one pair 384 0.62% 1 : 161 75.81%
90 33 A9833 one pair 384 0.62% 1 : 161 75.19%
91 22 A9822 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ98 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ98 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT98 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AK987 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AK986 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AK985 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK984 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK983 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK982 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ98 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 AQ987 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQ986 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQ985 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ984 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ983 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ982 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 AJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 AJ986 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJ985 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ984 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ983 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ982 high card 1,020 1.64% 1 : 59.8 36.16%
116 T7 AT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 AT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 AT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 A9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 A9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 A9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 A9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 A9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 A9865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 A9864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 A9863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 A9862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 A9854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 A9853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 A9852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A9843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A9842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A9832 high card 1,020 1.64% 1 : 59.8 1.64%