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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 KJs KQJT9 straight flush 4 0.01% 1 : 15515 100.00%
2 J8s QJT98 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AKQT9 flush 4 0.01% 1 : 15515 99.99%
4 AJs AQJT9 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQT98 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQT97 flush 4 0.01% 1 : 15515 99.97%
7 A6s AQT96 flush 4 0.01% 1 : 15515 99.96%
8 A5s AQT95 flush 4 0.01% 1 : 15515 99.95%
9 A4s AQT94 flush 4 0.01% 1 : 15515 99.95%
10 A3s AQT93 flush 4 0.01% 1 : 15515 99.94%
11 A2s AQT92 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQT98 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQT97 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQT96 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQT95 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQT94 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQT93 flush 4 0.01% 1 : 15515 99.90%
18 K2s KQT92 flush 4 0.01% 1 : 15515 99.89%
19 J7s QJT97 flush 4 0.01% 1 : 15515 99.88%
20 J6s QJT96 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJT95 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJT94 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJT93 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s QT987 flush 4 0.01% 1 : 15515 99.85%
26 86s QT986 flush 4 0.01% 1 : 15515 99.84%
27 85s QT985 flush 4 0.01% 1 : 15515 99.83%
28 84s QT984 flush 4 0.01% 1 : 15515 99.83%
29 83s QT983 flush 4 0.01% 1 : 15515 99.82%
30 82s QT982 flush 4 0.01% 1 : 15515 99.81%
31 76s QT976 flush 4 0.01% 1 : 15515 99.81%
32 75s QT975 flush 4 0.01% 1 : 15515 99.80%
33 74s QT974 flush 4 0.01% 1 : 15515 99.79%
34 73s QT973 flush 4 0.01% 1 : 15515 99.79%
35 72s QT972 flush 4 0.01% 1 : 15515 99.78%
36 65s QT965 flush 4 0.01% 1 : 15515 99.77%
37 64s QT964 flush 4 0.01% 1 : 15515 99.77%
38 63s QT963 flush 4 0.01% 1 : 15515 99.76%
39 62s QT962 flush 4 0.01% 1 : 15515 99.76%
40 54s QT954 flush 4 0.01% 1 : 15515 99.75%
41 53s QT953 flush 4 0.01% 1 : 15515 99.74%
42 52s QT952 flush 4 0.01% 1 : 15515 99.74%
43 43s QT943 flush 4 0.01% 1 : 15515 99.73%
44 42s QT942 flush 4 0.01% 1 : 15515 99.72%
45 32s QT932 flush 4 0.01% 1 : 15515 99.72%
 
46 KJ KQJT9 straight 1,020 1.64% 1 : 59.8 99.71%
47 J8 QJT98 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 QQ QQQT9 three of a kind 64 0.10% 1 : 969 96.42%
49 TT QTTT9 three of a kind 64 0.10% 1 : 969 96.32%
50 99 QT999 three of a kind 64 0.10% 1 : 969 96.22%
 
51 QT QQTT9 two pairs 144 0.23% 1 : 430 96.11%
52 Q9 QQT99 two pairs 144 0.23% 1 : 430 95.88%
53 T9 QTT99 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAQT9 one pair 384 0.62% 1 : 161 95.42%
55 KK KKQT9 one pair 384 0.62% 1 : 161 94.80%
56 AQ AQQT9 one pair 384 0.62% 1 : 161 94.18%
57 KQ KQQT9 one pair 384 0.62% 1 : 161 93.56%
58 QJ QQJT9 one pair 384 0.62% 1 : 161 92.94%
59 Q8 QQT98 one pair 384 0.62% 1 : 161 92.32%
60 Q7 QQT97 one pair 384 0.62% 1 : 161 91.71%
61 Q6 QQT96 one pair 384 0.62% 1 : 161 91.09%
62 Q5 QQT95 one pair 384 0.62% 1 : 161 90.47%
63 Q4 QQT94 one pair 384 0.62% 1 : 161 89.85%
64 Q3 QQT93 one pair 384 0.62% 1 : 161 89.23%
65 Q2 QQT92 one pair 384 0.62% 1 : 161 88.61%
66 JJ QJJT9 one pair 384 0.62% 1 : 161 87.99%
67 AT AQTT9 one pair 384 0.62% 1 : 161 87.37%
68 KT KQTT9 one pair 384 0.62% 1 : 161 86.76%
69 JT QJTT9 one pair 384 0.62% 1 : 161 86.14%
70 T8 QTT98 one pair 384 0.62% 1 : 161 85.52%
71 T7 QTT97 one pair 384 0.62% 1 : 161 84.90%
72 T6 QTT96 one pair 384 0.62% 1 : 161 84.28%
73 T5 QTT95 one pair 384 0.62% 1 : 161 83.66%
74 T4 QTT94 one pair 384 0.62% 1 : 161 83.04%
75 T3 QTT93 one pair 384 0.62% 1 : 161 82.42%
76 T2 QTT92 one pair 384 0.62% 1 : 161 81.81%
77 A9 AQT99 one pair 384 0.62% 1 : 161 81.19%
78 K9 KQT99 one pair 384 0.62% 1 : 161 80.57%
79 J9 QJT99 one pair 384 0.62% 1 : 161 79.95%
80 98 QT998 one pair 384 0.62% 1 : 161 79.33%
81 97 QT997 one pair 384 0.62% 1 : 161 78.71%
82 96 QT996 one pair 384 0.62% 1 : 161 78.09%
83 95 QT995 one pair 384 0.62% 1 : 161 77.47%
84 94 QT994 one pair 384 0.62% 1 : 161 76.86%
85 93 QT993 one pair 384 0.62% 1 : 161 76.24%
86 92 QT992 one pair 384 0.62% 1 : 161 75.62%
87 88 QT988 one pair 384 0.62% 1 : 161 75.00%
88 77 QT977 one pair 384 0.62% 1 : 161 74.38%
89 66 QT966 one pair 384 0.62% 1 : 161 73.76%
90 55 QT955 one pair 384 0.62% 1 : 161 73.14%
91 44 QT944 one pair 384 0.62% 1 : 161 72.53%
92 33 QT933 one pair 384 0.62% 1 : 161 71.91%
93 22 QT922 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AKQT9 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AQJT9 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQT98 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQT97 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AQT96 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AQT95 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AQT94 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 AQT93 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 AQT92 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQT98 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQT97 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQT96 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQT95 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQT94 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQT93 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KQT92 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 QJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 QJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 QT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 QT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 QT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 QT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 QT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 QT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 QT976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 QT975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 QT974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 QT973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 QT972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 QT965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 QT964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 QT963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 QT962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QT954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QT953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QT952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QT943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QT942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QT932 high card 1,020 1.64% 1 : 59.8 1.64%