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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 AKQJ9 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKJT9 flush 4 0.01% 1 : 15515 99.99%
3 K8s AKJ98 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKJ97 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKJ96 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKJ95 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKJ94 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKJ93 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKJ92 flush 4 0.01% 1 : 15515 99.95%
10 QTs AQJT9 flush 4 0.01% 1 : 15515 99.94%
11 Q8s AQJ98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s AQJ97 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQJ96 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQJ95 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQJ94 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQJ93 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQJ92 flush 4 0.01% 1 : 15515 99.90%
18 T8s AJT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s AJT97 flush 4 0.01% 1 : 15515 99.88%
20 T6s AJT96 flush 4 0.01% 1 : 15515 99.88%
21 T5s AJT95 flush 4 0.01% 1 : 15515 99.87%
22 T4s AJT94 flush 4 0.01% 1 : 15515 99.86%
23 T3s AJT93 flush 4 0.01% 1 : 15515 99.86%
24 T2s AJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s AJ987 flush 4 0.01% 1 : 15515 99.85%
26 86s AJ986 flush 4 0.01% 1 : 15515 99.84%
27 85s AJ985 flush 4 0.01% 1 : 15515 99.83%
28 84s AJ984 flush 4 0.01% 1 : 15515 99.83%
29 83s AJ983 flush 4 0.01% 1 : 15515 99.82%
30 82s AJ982 flush 4 0.01% 1 : 15515 99.81%
31 76s AJ976 flush 4 0.01% 1 : 15515 99.81%
32 75s AJ975 flush 4 0.01% 1 : 15515 99.80%
33 74s AJ974 flush 4 0.01% 1 : 15515 99.79%
34 73s AJ973 flush 4 0.01% 1 : 15515 99.79%
35 72s AJ972 flush 4 0.01% 1 : 15515 99.78%
36 65s AJ965 flush 4 0.01% 1 : 15515 99.77%
37 64s AJ964 flush 4 0.01% 1 : 15515 99.77%
38 63s AJ963 flush 4 0.01% 1 : 15515 99.76%
39 62s AJ962 flush 4 0.01% 1 : 15515 99.76%
40 54s AJ954 flush 4 0.01% 1 : 15515 99.75%
41 53s AJ953 flush 4 0.01% 1 : 15515 99.74%
42 52s AJ952 flush 4 0.01% 1 : 15515 99.74%
43 43s AJ943 flush 4 0.01% 1 : 15515 99.73%
44 42s AJ942 flush 4 0.01% 1 : 15515 99.72%
45 32s AJ932 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAJ9 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ AJJJ9 three of a kind 64 0.10% 1 : 969 99.61%
48 99 AJ999 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AJ AAJJ9 two pairs 144 0.23% 1 : 430 99.40%
50 A9 AAJ99 two pairs 144 0.23% 1 : 430 99.17%
51 J9 AJJ99 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKJ9 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQJ9 one pair 384 0.62% 1 : 161 98.09%
54 AT AAJT9 one pair 384 0.62% 1 : 161 97.47%
55 A8 AAJ98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AAJ97 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAJ96 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAJ95 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAJ94 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAJ93 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAJ92 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKJ9 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQJ9 one pair 384 0.62% 1 : 161 91.90%
64 KJ AKJJ9 one pair 384 0.62% 1 : 161 91.28%
65 QJ AQJJ9 one pair 384 0.62% 1 : 161 90.66%
66 JT AJJT9 one pair 384 0.62% 1 : 161 90.04%
67 J8 AJJ98 one pair 384 0.62% 1 : 161 89.42%
68 J7 AJJ97 one pair 384 0.62% 1 : 161 88.81%
69 J6 AJJ96 one pair 384 0.62% 1 : 161 88.19%
70 J5 AJJ95 one pair 384 0.62% 1 : 161 87.57%
71 J4 AJJ94 one pair 384 0.62% 1 : 161 86.95%
72 J3 AJJ93 one pair 384 0.62% 1 : 161 86.33%
73 J2 AJJ92 one pair 384 0.62% 1 : 161 85.71%
74 TT AJTT9 one pair 384 0.62% 1 : 161 85.09%
75 K9 AKJ99 one pair 384 0.62% 1 : 161 84.47%
76 Q9 AQJ99 one pair 384 0.62% 1 : 161 83.86%
77 T9 AJT99 one pair 384 0.62% 1 : 161 83.24%
78 98 AJ998 one pair 384 0.62% 1 : 161 82.62%
79 97 AJ997 one pair 384 0.62% 1 : 161 82.00%
80 96 AJ996 one pair 384 0.62% 1 : 161 81.38%
81 95 AJ995 one pair 384 0.62% 1 : 161 80.76%
82 94 AJ994 one pair 384 0.62% 1 : 161 80.14%
83 93 AJ993 one pair 384 0.62% 1 : 161 79.52%
84 92 AJ992 one pair 384 0.62% 1 : 161 78.91%
85 88 AJ988 one pair 384 0.62% 1 : 161 78.29%
86 77 AJ977 one pair 384 0.62% 1 : 161 77.67%
87 66 AJ966 one pair 384 0.62% 1 : 161 77.05%
88 55 AJ955 one pair 384 0.62% 1 : 161 76.43%
89 44 AJ944 one pair 384 0.62% 1 : 161 75.81%
90 33 AJ933 one pair 384 0.62% 1 : 161 75.19%
91 22 AJ922 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQJ9 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKJT9 high card 1,020 1.64% 1 : 59.8 72.31%
94 K8 AKJ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKJ97 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKJ96 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKJ95 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKJ94 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKJ93 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKJ92 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT AQJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q8 AQJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 AQJ97 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQJ96 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQJ95 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQJ94 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQJ93 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQJ92 high card 1,020 1.64% 1 : 59.8 47.66%
109 T8 AJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 AJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AJ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AJ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AJ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AJ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AJ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AJ976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AJ975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AJ974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AJ973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AJ972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AJ965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AJ964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AJ963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AJ962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AJ954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AJ953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AJ952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AJ943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AJ942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AJ932 high card 1,020 1.64% 1 : 59.8 1.64%