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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 QTs KQJT9 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AQs AKQJ9 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKJT9 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKJ98 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKJ97 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKJ96 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKJ95 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKJ94 flush 4 0.01% 1 : 15515 99.95%
9 A3s AKJ93 flush 4 0.01% 1 : 15515 99.95%
10 A2s AKJ92 flush 4 0.01% 1 : 15515 99.94%
11 Q8s KQJ98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s KQJ97 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQJ96 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQJ95 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQJ94 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQJ93 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQJ92 flush 4 0.01% 1 : 15515 99.90%
18 T8s KJT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s KJT97 flush 4 0.01% 1 : 15515 99.88%
20 T6s KJT96 flush 4 0.01% 1 : 15515 99.88%
21 T5s KJT95 flush 4 0.01% 1 : 15515 99.87%
22 T4s KJT94 flush 4 0.01% 1 : 15515 99.86%
23 T3s KJT93 flush 4 0.01% 1 : 15515 99.86%
24 T2s KJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s KJ987 flush 4 0.01% 1 : 15515 99.85%
26 86s KJ986 flush 4 0.01% 1 : 15515 99.84%
27 85s KJ985 flush 4 0.01% 1 : 15515 99.83%
28 84s KJ984 flush 4 0.01% 1 : 15515 99.83%
29 83s KJ983 flush 4 0.01% 1 : 15515 99.82%
30 82s KJ982 flush 4 0.01% 1 : 15515 99.81%
31 76s KJ976 flush 4 0.01% 1 : 15515 99.81%
32 75s KJ975 flush 4 0.01% 1 : 15515 99.80%
33 74s KJ974 flush 4 0.01% 1 : 15515 99.79%
34 73s KJ973 flush 4 0.01% 1 : 15515 99.79%
35 72s KJ972 flush 4 0.01% 1 : 15515 99.78%
36 65s KJ965 flush 4 0.01% 1 : 15515 99.77%
37 64s KJ964 flush 4 0.01% 1 : 15515 99.77%
38 63s KJ963 flush 4 0.01% 1 : 15515 99.76%
39 62s KJ962 flush 4 0.01% 1 : 15515 99.76%
40 54s KJ954 flush 4 0.01% 1 : 15515 99.75%
41 53s KJ953 flush 4 0.01% 1 : 15515 99.74%
42 52s KJ952 flush 4 0.01% 1 : 15515 99.74%
43 43s KJ943 flush 4 0.01% 1 : 15515 99.73%
44 42s KJ942 flush 4 0.01% 1 : 15515 99.72%
45 32s KJ932 flush 4 0.01% 1 : 15515 99.72%
 
46 QT KQJT9 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 KK KKKJ9 three of a kind 64 0.10% 1 : 969 98.07%
48 JJ KJJJ9 three of a kind 64 0.10% 1 : 969 97.96%
49 99 KJ999 three of a kind 64 0.10% 1 : 969 97.86%
 
50 KJ KKJJ9 two pairs 144 0.23% 1 : 430 97.76%
51 K9 KKJ99 two pairs 144 0.23% 1 : 430 97.53%
52 J9 KJJ99 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAKJ9 one pair 384 0.62% 1 : 161 97.06%
54 AK AKKJ9 one pair 384 0.62% 1 : 161 96.44%
55 KQ KKQJ9 one pair 384 0.62% 1 : 161 95.82%
56 KT KKJT9 one pair 384 0.62% 1 : 161 95.20%
57 K8 KKJ98 one pair 384 0.62% 1 : 161 94.59%
58 K7 KKJ97 one pair 384 0.62% 1 : 161 93.97%
59 K6 KKJ96 one pair 384 0.62% 1 : 161 93.35%
60 K5 KKJ95 one pair 384 0.62% 1 : 161 92.73%
61 K4 KKJ94 one pair 384 0.62% 1 : 161 92.11%
62 K3 KKJ93 one pair 384 0.62% 1 : 161 91.49%
63 K2 KKJ92 one pair 384 0.62% 1 : 161 90.87%
64 QQ KQQJ9 one pair 384 0.62% 1 : 161 90.26%
65 AJ AKJJ9 one pair 384 0.62% 1 : 161 89.64%
66 QJ KQJJ9 one pair 384 0.62% 1 : 161 89.02%
67 JT KJJT9 one pair 384 0.62% 1 : 161 88.40%
68 J8 KJJ98 one pair 384 0.62% 1 : 161 87.78%
69 J7 KJJ97 one pair 384 0.62% 1 : 161 87.16%
70 J6 KJJ96 one pair 384 0.62% 1 : 161 86.54%
71 J5 KJJ95 one pair 384 0.62% 1 : 161 85.92%
72 J4 KJJ94 one pair 384 0.62% 1 : 161 85.31%
73 J3 KJJ93 one pair 384 0.62% 1 : 161 84.69%
74 J2 KJJ92 one pair 384 0.62% 1 : 161 84.07%
75 TT KJTT9 one pair 384 0.62% 1 : 161 83.45%
76 A9 AKJ99 one pair 384 0.62% 1 : 161 82.83%
77 Q9 KQJ99 one pair 384 0.62% 1 : 161 82.21%
78 T9 KJT99 one pair 384 0.62% 1 : 161 81.59%
79 98 KJ998 one pair 384 0.62% 1 : 161 80.97%
80 97 KJ997 one pair 384 0.62% 1 : 161 80.36%
81 96 KJ996 one pair 384 0.62% 1 : 161 79.74%
82 95 KJ995 one pair 384 0.62% 1 : 161 79.12%
83 94 KJ994 one pair 384 0.62% 1 : 161 78.50%
84 93 KJ993 one pair 384 0.62% 1 : 161 77.88%
85 92 KJ992 one pair 384 0.62% 1 : 161 77.26%
86 88 KJ988 one pair 384 0.62% 1 : 161 76.64%
87 77 KJ977 one pair 384 0.62% 1 : 161 76.02%
88 66 KJ966 one pair 384 0.62% 1 : 161 75.41%
89 55 KJ955 one pair 384 0.62% 1 : 161 74.79%
90 44 KJ944 one pair 384 0.62% 1 : 161 74.17%
91 33 KJ933 one pair 384 0.62% 1 : 161 73.55%
92 22 KJ922 one pair 384 0.62% 1 : 161 72.93%
 
93 AQ AKQJ9 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKJT9 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKJ98 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKJ97 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKJ96 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKJ95 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKJ94 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AKJ93 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AKJ92 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q8 KQJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 KQJ97 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQJ96 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQJ95 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQJ94 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQJ93 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQJ92 high card 1,020 1.64% 1 : 59.8 47.66%
109 T8 KJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 KJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 KJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 KJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 KJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 KJ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 KJ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 KJ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 KJ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 KJ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 KJ976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 KJ975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 KJ974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 KJ973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 KJ972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KJ965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KJ964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KJ963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KJ962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KJ954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KJ953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KJ952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KJ943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KJ942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KJ932 high card 1,020 1.64% 1 : 59.8 1.64%