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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 AKs AKJ84 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ84 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT84 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ984 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ874 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ864 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ854 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ843 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ842 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ84 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT84 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ984 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ874 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ864 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ854 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ843 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ842 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT84 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ984 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ874 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ864 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ854 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ843 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ842 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT984 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT874 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT864 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT854 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT843 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT842 flush 4 0.01% 1 : 15515 99.81%
31 97s J9874 flush 4 0.01% 1 : 15515 99.81%
32 96s J9864 flush 4 0.01% 1 : 15515 99.80%
33 95s J9854 flush 4 0.01% 1 : 15515 99.79%
34 93s J9843 flush 4 0.01% 1 : 15515 99.79%
35 92s J9842 flush 4 0.01% 1 : 15515 99.78%
36 76s J8764 flush 4 0.01% 1 : 15515 99.77%
37 75s J8754 flush 4 0.01% 1 : 15515 99.77%
38 73s J8743 flush 4 0.01% 1 : 15515 99.76%
39 72s J8742 flush 4 0.01% 1 : 15515 99.76%
40 65s J8654 flush 4 0.01% 1 : 15515 99.75%
41 63s J8643 flush 4 0.01% 1 : 15515 99.74%
42 62s J8642 flush 4 0.01% 1 : 15515 99.74%
43 53s J8543 flush 4 0.01% 1 : 15515 99.73%
44 52s J8542 flush 4 0.01% 1 : 15515 99.72%
45 32s J8432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ84 three of a kind 64 0.10% 1 : 969 99.71%
47 88 J8884 three of a kind 64 0.10% 1 : 969 99.61%
48 44 J8444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J8 JJ884 two pairs 144 0.23% 1 : 430 99.40%
50 J4 JJ844 two pairs 144 0.23% 1 : 430 99.17%
51 84 J8844 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ84 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ84 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ84 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ84 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ84 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ84 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT84 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ984 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ874 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ864 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ854 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ843 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ842 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT84 one pair 384 0.62% 1 : 161 90.66%
66 99 J9984 one pair 384 0.62% 1 : 161 90.04%
67 A8 AJ884 one pair 384 0.62% 1 : 161 89.42%
68 K8 KJ884 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QJ884 one pair 384 0.62% 1 : 161 88.19%
70 T8 JT884 one pair 384 0.62% 1 : 161 87.57%
71 98 J9884 one pair 384 0.62% 1 : 161 86.95%
72 87 J8874 one pair 384 0.62% 1 : 161 86.33%
73 86 J8864 one pair 384 0.62% 1 : 161 85.71%
74 85 J8854 one pair 384 0.62% 1 : 161 85.09%
75 83 J8843 one pair 384 0.62% 1 : 161 84.47%
76 82 J8842 one pair 384 0.62% 1 : 161 83.86%
77 77 J8774 one pair 384 0.62% 1 : 161 83.24%
78 66 J8664 one pair 384 0.62% 1 : 161 82.62%
79 55 J8554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AJ844 one pair 384 0.62% 1 : 161 81.38%
81 K4 KJ844 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QJ844 one pair 384 0.62% 1 : 161 80.14%
83 T4 JT844 one pair 384 0.62% 1 : 161 79.52%
84 94 J9844 one pair 384 0.62% 1 : 161 78.91%
85 74 J8744 one pair 384 0.62% 1 : 161 78.29%
86 64 J8644 one pair 384 0.62% 1 : 161 77.67%
87 54 J8544 one pair 384 0.62% 1 : 161 77.05%
88 43 J8443 one pair 384 0.62% 1 : 161 76.43%
89 42 J8442 one pair 384 0.62% 1 : 161 75.81%
90 33 J8433 one pair 384 0.62% 1 : 161 75.19%
91 22 J8422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ84 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ84 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT84 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ864 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ854 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ842 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ84 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT84 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ984 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ864 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ854 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ843 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ842 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT84 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ984 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ874 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ864 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ854 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ843 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ842 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT864 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT842 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 J9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 J9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 J8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 J8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 J8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 J8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 J8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J8642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 J8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 J8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J8432 high card 1,020 1.64% 1 : 59.8 1.64%