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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 AKT83 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT83 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT83 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT983 flush 4 0.01% 1 : 15515 99.98%
5 A7s AT873 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT863 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT853 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT843 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT832 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT83 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT83 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT983 flush 4 0.01% 1 : 15515 99.93%
13 K7s KT873 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT863 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT853 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT843 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT832 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT83 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT983 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QT873 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT863 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT853 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT843 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT832 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT983 flush 4 0.01% 1 : 15515 99.85%
26 J7s JT873 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT863 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT853 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT843 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT832 flush 4 0.01% 1 : 15515 99.81%
31 97s T9873 flush 4 0.01% 1 : 15515 99.81%
32 96s T9863 flush 4 0.01% 1 : 15515 99.80%
33 95s T9853 flush 4 0.01% 1 : 15515 99.79%
34 94s T9843 flush 4 0.01% 1 : 15515 99.79%
35 92s T9832 flush 4 0.01% 1 : 15515 99.78%
36 76s T8763 flush 4 0.01% 1 : 15515 99.77%
37 75s T8753 flush 4 0.01% 1 : 15515 99.77%
38 74s T8743 flush 4 0.01% 1 : 15515 99.76%
39 72s T8732 flush 4 0.01% 1 : 15515 99.76%
40 65s T8653 flush 4 0.01% 1 : 15515 99.75%
41 64s T8643 flush 4 0.01% 1 : 15515 99.74%
42 62s T8632 flush 4 0.01% 1 : 15515 99.74%
43 54s T8543 flush 4 0.01% 1 : 15515 99.73%
44 52s T8532 flush 4 0.01% 1 : 15515 99.72%
45 42s T8432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT83 three of a kind 64 0.10% 1 : 969 99.71%
47 88 T8883 three of a kind 64 0.10% 1 : 969 99.61%
48 33 T8333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T8 TT883 two pairs 144 0.23% 1 : 430 99.40%
50 T3 TT833 two pairs 144 0.23% 1 : 430 99.17%
51 83 T8833 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT83 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT83 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT83 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT83 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT83 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT83 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT83 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT83 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT983 one pair 384 0.62% 1 : 161 93.75%
61 T7 TT873 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT863 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT853 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT843 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT832 one pair 384 0.62% 1 : 161 90.66%
66 99 T9983 one pair 384 0.62% 1 : 161 90.04%
67 A8 AT883 one pair 384 0.62% 1 : 161 89.42%
68 K8 KT883 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QT883 one pair 384 0.62% 1 : 161 88.19%
70 J8 JT883 one pair 384 0.62% 1 : 161 87.57%
71 98 T9883 one pair 384 0.62% 1 : 161 86.95%
72 87 T8873 one pair 384 0.62% 1 : 161 86.33%
73 86 T8863 one pair 384 0.62% 1 : 161 85.71%
74 85 T8853 one pair 384 0.62% 1 : 161 85.09%
75 84 T8843 one pair 384 0.62% 1 : 161 84.47%
76 82 T8832 one pair 384 0.62% 1 : 161 83.86%
77 77 T8773 one pair 384 0.62% 1 : 161 83.24%
78 66 T8663 one pair 384 0.62% 1 : 161 82.62%
79 55 T8553 one pair 384 0.62% 1 : 161 82.00%
80 44 T8443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AT833 one pair 384 0.62% 1 : 161 80.76%
82 K3 KT833 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QT833 one pair 384 0.62% 1 : 161 79.52%
84 J3 JT833 one pair 384 0.62% 1 : 161 78.91%
85 93 T9833 one pair 384 0.62% 1 : 161 78.29%
86 73 T8733 one pair 384 0.62% 1 : 161 77.67%
87 63 T8633 one pair 384 0.62% 1 : 161 77.05%
88 53 T8533 one pair 384 0.62% 1 : 161 76.43%
89 43 T8433 one pair 384 0.62% 1 : 161 75.81%
90 32 T8332 one pair 384 0.62% 1 : 161 75.19%
91 22 T8322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT83 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT83 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT83 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AT873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT863 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT853 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT832 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT83 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT83 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT983 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KT873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT863 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT853 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT843 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT832 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT83 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT983 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QT873 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT863 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT853 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT843 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT832 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 JT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT863 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT853 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 T9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 T9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 T9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 T9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 T8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 T8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 T8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 T8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T8653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 T8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 T8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 T8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 T8432 high card 1,020 1.64% 1 : 59.8 1.64%