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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 3 12 0.02% 1 : 5171
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 42 168 0.27% 1 : 368
straight 3 3,060 4.93% 1 : 19.3
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 42 42,840 69.03% 2.23 : 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 KQJT9 straight flush 4 0.01% 1 : 15515 100.00%
2 Q8s QJT98 straight flush 4 0.01% 1 : 15515 99.99%
3 87s JT987 straight flush 4 0.01% 1 : 15515 99.99%
 
4 AKs AKJT9 flush 4 0.01% 1 : 15515 99.98%
5 AQs AQJT9 flush 4 0.01% 1 : 15515 99.97%
6 A8s AJT98 flush 4 0.01% 1 : 15515 99.97%
7 A7s AJT97 flush 4 0.01% 1 : 15515 99.96%
8 A6s AJT96 flush 4 0.01% 1 : 15515 99.95%
9 A5s AJT95 flush 4 0.01% 1 : 15515 99.95%
10 A4s AJT94 flush 4 0.01% 1 : 15515 99.94%
11 A3s AJT93 flush 4 0.01% 1 : 15515 99.94%
12 A2s AJT92 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJT98 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJT97 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJT96 flush 4 0.01% 1 : 15515 99.91%
16 K5s KJT95 flush 4 0.01% 1 : 15515 99.90%
17 K4s KJT94 flush 4 0.01% 1 : 15515 99.90%
18 K3s KJT93 flush 4 0.01% 1 : 15515 99.89%
19 K2s KJT92 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJT97 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJT96 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJT95 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJT94 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJT93 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QJT92 flush 4 0.01% 1 : 15515 99.85%
26 86s JT986 flush 4 0.01% 1 : 15515 99.84%
27 85s JT985 flush 4 0.01% 1 : 15515 99.83%
28 84s JT984 flush 4 0.01% 1 : 15515 99.83%
29 83s JT983 flush 4 0.01% 1 : 15515 99.82%
30 82s JT982 flush 4 0.01% 1 : 15515 99.81%
31 76s JT976 flush 4 0.01% 1 : 15515 99.81%
32 75s JT975 flush 4 0.01% 1 : 15515 99.80%
33 74s JT974 flush 4 0.01% 1 : 15515 99.79%
34 73s JT973 flush 4 0.01% 1 : 15515 99.79%
35 72s JT972 flush 4 0.01% 1 : 15515 99.78%
36 65s JT965 flush 4 0.01% 1 : 15515 99.77%
37 64s JT964 flush 4 0.01% 1 : 15515 99.77%
38 63s JT963 flush 4 0.01% 1 : 15515 99.76%
39 62s JT962 flush 4 0.01% 1 : 15515 99.76%
40 54s JT954 flush 4 0.01% 1 : 15515 99.75%
41 53s JT953 flush 4 0.01% 1 : 15515 99.74%
42 52s JT952 flush 4 0.01% 1 : 15515 99.74%
43 43s JT943 flush 4 0.01% 1 : 15515 99.73%
44 42s JT942 flush 4 0.01% 1 : 15515 99.72%
45 32s JT932 flush 4 0.01% 1 : 15515 99.72%
 
46 KQ KQJT9 straight 1,020 1.64% 1 : 59.8 99.71%
47 Q8 QJT98 straight 1,020 1.64% 1 : 59.8 98.07%
48 87 JT987 straight 1,020 1.64% 1 : 59.8 96.42%
 
49 JJ JJJT9 three of a kind 64 0.10% 1 : 969 94.78%
50 TT JTTT9 three of a kind 64 0.10% 1 : 969 94.68%
51 99 JT999 three of a kind 64 0.10% 1 : 969 94.57%
 
52 JT JJTT9 two pairs 144 0.23% 1 : 430 94.47%
53 J9 JJT99 two pairs 144 0.23% 1 : 430 94.24%
54 T9 JTT99 two pairs 144 0.23% 1 : 430 94.01%
 
55 AA AAJT9 one pair 384 0.62% 1 : 161 93.77%
56 KK KKJT9 one pair 384 0.62% 1 : 161 93.16%
57 QQ QQJT9 one pair 384 0.62% 1 : 161 92.54%
58 AJ AJJT9 one pair 384 0.62% 1 : 161 91.92%
59 KJ KJJT9 one pair 384 0.62% 1 : 161 91.30%
60 QJ QJJT9 one pair 384 0.62% 1 : 161 90.68%
61 J8 JJT98 one pair 384 0.62% 1 : 161 90.06%
62 J7 JJT97 one pair 384 0.62% 1 : 161 89.44%
63 J6 JJT96 one pair 384 0.62% 1 : 161 88.82%
64 J5 JJT95 one pair 384 0.62% 1 : 161 88.21%
65 J4 JJT94 one pair 384 0.62% 1 : 161 87.59%
66 J3 JJT93 one pair 384 0.62% 1 : 161 86.97%
67 J2 JJT92 one pair 384 0.62% 1 : 161 86.35%
68 AT AJTT9 one pair 384 0.62% 1 : 161 85.73%
69 KT KJTT9 one pair 384 0.62% 1 : 161 85.11%
70 QT QJTT9 one pair 384 0.62% 1 : 161 84.49%
71 T8 JTT98 one pair 384 0.62% 1 : 161 83.87%
72 T7 JTT97 one pair 384 0.62% 1 : 161 83.26%
73 T6 JTT96 one pair 384 0.62% 1 : 161 82.64%
74 T5 JTT95 one pair 384 0.62% 1 : 161 82.02%
75 T4 JTT94 one pair 384 0.62% 1 : 161 81.40%
76 T3 JTT93 one pair 384 0.62% 1 : 161 80.78%
77 T2 JTT92 one pair 384 0.62% 1 : 161 80.16%
78 A9 AJT99 one pair 384 0.62% 1 : 161 79.54%
79 K9 KJT99 one pair 384 0.62% 1 : 161 78.92%
80 Q9 QJT99 one pair 384 0.62% 1 : 161 78.31%
81 98 JT998 one pair 384 0.62% 1 : 161 77.69%
82 97 JT997 one pair 384 0.62% 1 : 161 77.07%
83 96 JT996 one pair 384 0.62% 1 : 161 76.45%
84 95 JT995 one pair 384 0.62% 1 : 161 75.83%
85 94 JT994 one pair 384 0.62% 1 : 161 75.21%
86 93 JT993 one pair 384 0.62% 1 : 161 74.59%
87 92 JT992 one pair 384 0.62% 1 : 161 73.98%
88 88 JT988 one pair 384 0.62% 1 : 161 73.36%
89 77 JT977 one pair 384 0.62% 1 : 161 72.74%
90 66 JT966 one pair 384 0.62% 1 : 161 72.12%
91 55 JT955 one pair 384 0.62% 1 : 161 71.50%
92 44 JT944 one pair 384 0.62% 1 : 161 70.88%
93 33 JT933 one pair 384 0.62% 1 : 161 70.26%
94 22 JT922 one pair 384 0.62% 1 : 161 69.64%
 
95 AK AKJT9 high card 1,020 1.64% 1 : 59.8 69.03%
96 AQ AQJT9 high card 1,020 1.64% 1 : 59.8 67.38%
97 A8 AJT98 high card 1,020 1.64% 1 : 59.8 65.74%
98 A7 AJT97 high card 1,020 1.64% 1 : 59.8 64.10%
99 A6 AJT96 high card 1,020 1.64% 1 : 59.8 62.45%
100 A5 AJT95 high card 1,020 1.64% 1 : 59.8 60.81%
101 A4 AJT94 high card 1,020 1.64% 1 : 59.8 59.16%
102 A3 AJT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 A2 AJT92 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJT98 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJT97 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJT96 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KJT95 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 KJT94 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 KJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 KJT92 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJT97 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJT96 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJT95 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJT94 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJT93 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QJT92 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 JT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 JT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 JT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 JT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 JT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 JT976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 JT975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 JT974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 JT973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 JT972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 JT965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 JT964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 JT963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 JT962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 JT954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 JT953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 JT952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 JT943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 JT942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 JT932 high card 1,020 1.64% 1 : 59.8 1.64%