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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 KJs AKQJ9 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKQT9 flush 4 0.01% 1 : 15515 99.99%
3 K8s AKQ98 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKQ97 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKQ96 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKQ95 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKQ94 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKQ93 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQ92 flush 4 0.01% 1 : 15515 99.95%
10 JTs AQJT9 flush 4 0.01% 1 : 15515 99.94%
11 J8s AQJ98 flush 4 0.01% 1 : 15515 99.94%
12 J7s AQJ97 flush 4 0.01% 1 : 15515 99.93%
13 J6s AQJ96 flush 4 0.01% 1 : 15515 99.92%
14 J5s AQJ95 flush 4 0.01% 1 : 15515 99.92%
15 J4s AQJ94 flush 4 0.01% 1 : 15515 99.91%
16 J3s AQJ93 flush 4 0.01% 1 : 15515 99.90%
17 J2s AQJ92 flush 4 0.01% 1 : 15515 99.90%
18 T8s AQT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s AQT97 flush 4 0.01% 1 : 15515 99.88%
20 T6s AQT96 flush 4 0.01% 1 : 15515 99.88%
21 T5s AQT95 flush 4 0.01% 1 : 15515 99.87%
22 T4s AQT94 flush 4 0.01% 1 : 15515 99.86%
23 T3s AQT93 flush 4 0.01% 1 : 15515 99.86%
24 T2s AQT92 flush 4 0.01% 1 : 15515 99.85%
25 87s AQ987 flush 4 0.01% 1 : 15515 99.85%
26 86s AQ986 flush 4 0.01% 1 : 15515 99.84%
27 85s AQ985 flush 4 0.01% 1 : 15515 99.83%
28 84s AQ984 flush 4 0.01% 1 : 15515 99.83%
29 83s AQ983 flush 4 0.01% 1 : 15515 99.82%
30 82s AQ982 flush 4 0.01% 1 : 15515 99.81%
31 76s AQ976 flush 4 0.01% 1 : 15515 99.81%
32 75s AQ975 flush 4 0.01% 1 : 15515 99.80%
33 74s AQ974 flush 4 0.01% 1 : 15515 99.79%
34 73s AQ973 flush 4 0.01% 1 : 15515 99.79%
35 72s AQ972 flush 4 0.01% 1 : 15515 99.78%
36 65s AQ965 flush 4 0.01% 1 : 15515 99.77%
37 64s AQ964 flush 4 0.01% 1 : 15515 99.77%
38 63s AQ963 flush 4 0.01% 1 : 15515 99.76%
39 62s AQ962 flush 4 0.01% 1 : 15515 99.76%
40 54s AQ954 flush 4 0.01% 1 : 15515 99.75%
41 53s AQ953 flush 4 0.01% 1 : 15515 99.74%
42 52s AQ952 flush 4 0.01% 1 : 15515 99.74%
43 43s AQ943 flush 4 0.01% 1 : 15515 99.73%
44 42s AQ942 flush 4 0.01% 1 : 15515 99.72%
45 32s AQ932 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAQ9 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ AQQQ9 three of a kind 64 0.10% 1 : 969 99.61%
48 99 AQ999 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AQ AAQQ9 two pairs 144 0.23% 1 : 430 99.40%
50 A9 AAQ99 two pairs 144 0.23% 1 : 430 99.17%
51 Q9 AQQ99 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKQ9 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAQJ9 one pair 384 0.62% 1 : 161 98.09%
54 AT AAQT9 one pair 384 0.62% 1 : 161 97.47%
55 A8 AAQ98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AAQ97 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAQ96 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAQ95 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAQ94 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAQ93 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAQ92 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKQ9 one pair 384 0.62% 1 : 161 92.52%
63 KQ AKQQ9 one pair 384 0.62% 1 : 161 91.90%
64 QJ AQQJ9 one pair 384 0.62% 1 : 161 91.28%
65 QT AQQT9 one pair 384 0.62% 1 : 161 90.66%
66 Q8 AQQ98 one pair 384 0.62% 1 : 161 90.04%
67 Q7 AQQ97 one pair 384 0.62% 1 : 161 89.42%
68 Q6 AQQ96 one pair 384 0.62% 1 : 161 88.81%
69 Q5 AQQ95 one pair 384 0.62% 1 : 161 88.19%
70 Q4 AQQ94 one pair 384 0.62% 1 : 161 87.57%
71 Q3 AQQ93 one pair 384 0.62% 1 : 161 86.95%
72 Q2 AQQ92 one pair 384 0.62% 1 : 161 86.33%
73 JJ AQJJ9 one pair 384 0.62% 1 : 161 85.71%
74 TT AQTT9 one pair 384 0.62% 1 : 161 85.09%
75 K9 AKQ99 one pair 384 0.62% 1 : 161 84.47%
76 J9 AQJ99 one pair 384 0.62% 1 : 161 83.86%
77 T9 AQT99 one pair 384 0.62% 1 : 161 83.24%
78 98 AQ998 one pair 384 0.62% 1 : 161 82.62%
79 97 AQ997 one pair 384 0.62% 1 : 161 82.00%
80 96 AQ996 one pair 384 0.62% 1 : 161 81.38%
81 95 AQ995 one pair 384 0.62% 1 : 161 80.76%
82 94 AQ994 one pair 384 0.62% 1 : 161 80.14%
83 93 AQ993 one pair 384 0.62% 1 : 161 79.52%
84 92 AQ992 one pair 384 0.62% 1 : 161 78.91%
85 88 AQ988 one pair 384 0.62% 1 : 161 78.29%
86 77 AQ977 one pair 384 0.62% 1 : 161 77.67%
87 66 AQ966 one pair 384 0.62% 1 : 161 77.05%
88 55 AQ955 one pair 384 0.62% 1 : 161 76.43%
89 44 AQ944 one pair 384 0.62% 1 : 161 75.81%
90 33 AQ933 one pair 384 0.62% 1 : 161 75.19%
91 22 AQ922 one pair 384 0.62% 1 : 161 74.57%
 
92 KJ AKQJ9 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKQT9 high card 1,020 1.64% 1 : 59.8 72.31%
94 K8 AKQ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKQ97 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKQ96 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKQ95 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKQ94 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKQ93 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQ92 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AQJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 J8 AQJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 J7 AQJ97 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 AQJ96 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AQJ95 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AQJ94 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AQJ93 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AQJ92 high card 1,020 1.64% 1 : 59.8 47.66%
109 T8 AQT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 AQT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AQT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AQT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AQT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AQT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AQT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AQ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AQ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AQ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AQ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AQ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AQ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AQ976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AQ975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AQ974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AQ973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AQ972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AQ965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AQ964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AQ963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AQ962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AQ954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AQ953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AQ952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AQ943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AQ942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AQ932 high card 1,020 1.64% 1 : 59.8 1.64%