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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 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 KTs KQJT9 straight flush 4 0.01% 1 : 15515 100.00%
2 T8s QJT98 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AKQJ9 flush 4 0.01% 1 : 15515 99.99%
4 ATs AQJT9 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQJ98 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQJ97 flush 4 0.01% 1 : 15515 99.97%
7 A6s AQJ96 flush 4 0.01% 1 : 15515 99.96%
8 A5s AQJ95 flush 4 0.01% 1 : 15515 99.95%
9 A4s AQJ94 flush 4 0.01% 1 : 15515 99.95%
10 A3s AQJ93 flush 4 0.01% 1 : 15515 99.94%
11 A2s AQJ92 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQJ98 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQJ97 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQJ96 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQJ95 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQJ94 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQJ93 flush 4 0.01% 1 : 15515 99.90%
18 K2s KQJ92 flush 4 0.01% 1 : 15515 99.89%
19 T7s QJT97 flush 4 0.01% 1 : 15515 99.88%
20 T6s QJT96 flush 4 0.01% 1 : 15515 99.88%
21 T5s QJT95 flush 4 0.01% 1 : 15515 99.87%
22 T4s QJT94 flush 4 0.01% 1 : 15515 99.86%
23 T3s QJT93 flush 4 0.01% 1 : 15515 99.86%
24 T2s QJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s QJ987 flush 4 0.01% 1 : 15515 99.85%
26 86s QJ986 flush 4 0.01% 1 : 15515 99.84%
27 85s QJ985 flush 4 0.01% 1 : 15515 99.83%
28 84s QJ984 flush 4 0.01% 1 : 15515 99.83%
29 83s QJ983 flush 4 0.01% 1 : 15515 99.82%
30 82s QJ982 flush 4 0.01% 1 : 15515 99.81%
31 76s QJ976 flush 4 0.01% 1 : 15515 99.81%
32 75s QJ975 flush 4 0.01% 1 : 15515 99.80%
33 74s QJ974 flush 4 0.01% 1 : 15515 99.79%
34 73s QJ973 flush 4 0.01% 1 : 15515 99.79%
35 72s QJ972 flush 4 0.01% 1 : 15515 99.78%
36 65s QJ965 flush 4 0.01% 1 : 15515 99.77%
37 64s QJ964 flush 4 0.01% 1 : 15515 99.77%
38 63s QJ963 flush 4 0.01% 1 : 15515 99.76%
39 62s QJ962 flush 4 0.01% 1 : 15515 99.76%
40 54s QJ954 flush 4 0.01% 1 : 15515 99.75%
41 53s QJ953 flush 4 0.01% 1 : 15515 99.74%
42 52s QJ952 flush 4 0.01% 1 : 15515 99.74%
43 43s QJ943 flush 4 0.01% 1 : 15515 99.73%
44 42s QJ942 flush 4 0.01% 1 : 15515 99.72%
45 32s QJ932 flush 4 0.01% 1 : 15515 99.72%
 
46 KT KQJT9 straight 1,020 1.64% 1 : 59.8 99.71%
47 T8 QJT98 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 QQ QQQJ9 three of a kind 64 0.10% 1 : 969 96.42%
49 JJ QJJJ9 three of a kind 64 0.10% 1 : 969 96.32%
50 99 QJ999 three of a kind 64 0.10% 1 : 969 96.22%
 
51 QJ QQJJ9 two pairs 144 0.23% 1 : 430 96.11%
52 Q9 QQJ99 two pairs 144 0.23% 1 : 430 95.88%
53 J9 QJJ99 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAQJ9 one pair 384 0.62% 1 : 161 95.42%
55 KK KKQJ9 one pair 384 0.62% 1 : 161 94.80%
56 AQ AQQJ9 one pair 384 0.62% 1 : 161 94.18%
57 KQ KQQJ9 one pair 384 0.62% 1 : 161 93.56%
58 QT QQJT9 one pair 384 0.62% 1 : 161 92.94%
59 Q8 QQJ98 one pair 384 0.62% 1 : 161 92.32%
60 Q7 QQJ97 one pair 384 0.62% 1 : 161 91.71%
61 Q6 QQJ96 one pair 384 0.62% 1 : 161 91.09%
62 Q5 QQJ95 one pair 384 0.62% 1 : 161 90.47%
63 Q4 QQJ94 one pair 384 0.62% 1 : 161 89.85%
64 Q3 QQJ93 one pair 384 0.62% 1 : 161 89.23%
65 Q2 QQJ92 one pair 384 0.62% 1 : 161 88.61%
66 AJ AQJJ9 one pair 384 0.62% 1 : 161 87.99%
67 KJ KQJJ9 one pair 384 0.62% 1 : 161 87.37%
68 JT QJJT9 one pair 384 0.62% 1 : 161 86.76%
69 J8 QJJ98 one pair 384 0.62% 1 : 161 86.14%
70 J7 QJJ97 one pair 384 0.62% 1 : 161 85.52%
71 J6 QJJ96 one pair 384 0.62% 1 : 161 84.90%
72 J5 QJJ95 one pair 384 0.62% 1 : 161 84.28%
73 J4 QJJ94 one pair 384 0.62% 1 : 161 83.66%
74 J3 QJJ93 one pair 384 0.62% 1 : 161 83.04%
75 J2 QJJ92 one pair 384 0.62% 1 : 161 82.42%
76 TT QJTT9 one pair 384 0.62% 1 : 161 81.81%
77 A9 AQJ99 one pair 384 0.62% 1 : 161 81.19%
78 K9 KQJ99 one pair 384 0.62% 1 : 161 80.57%
79 T9 QJT99 one pair 384 0.62% 1 : 161 79.95%
80 98 QJ998 one pair 384 0.62% 1 : 161 79.33%
81 97 QJ997 one pair 384 0.62% 1 : 161 78.71%
82 96 QJ996 one pair 384 0.62% 1 : 161 78.09%
83 95 QJ995 one pair 384 0.62% 1 : 161 77.47%
84 94 QJ994 one pair 384 0.62% 1 : 161 76.86%
85 93 QJ993 one pair 384 0.62% 1 : 161 76.24%
86 92 QJ992 one pair 384 0.62% 1 : 161 75.62%
87 88 QJ988 one pair 384 0.62% 1 : 161 75.00%
88 77 QJ977 one pair 384 0.62% 1 : 161 74.38%
89 66 QJ966 one pair 384 0.62% 1 : 161 73.76%
90 55 QJ955 one pair 384 0.62% 1 : 161 73.14%
91 44 QJ944 one pair 384 0.62% 1 : 161 72.53%
92 33 QJ933 one pair 384 0.62% 1 : 161 71.91%
93 22 QJ922 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AKQJ9 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AQJT9 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQJ98 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQJ97 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AQJ96 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AQJ95 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AQJ94 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 AQJ93 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 AQJ92 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQJ98 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQJ97 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQJ96 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQJ95 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQJ94 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQJ93 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KQJ92 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 QJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 QJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 QJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 QJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 QJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 QJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 QJ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 QJ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 QJ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 QJ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 QJ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 QJ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 QJ976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 QJ975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 QJ974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 QJ973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 QJ972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 QJ965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 QJ964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 QJ963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 QJ962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QJ954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QJ953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QJ952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QJ943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QJ942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QJ932 high card 1,020 1.64% 1 : 59.8 1.64%