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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 AKJ83 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ83 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT83 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ983 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ873 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ863 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ853 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ843 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ832 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ83 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT83 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ983 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ873 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ863 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ853 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ843 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ832 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT83 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ983 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ873 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ863 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ853 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ843 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ832 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT983 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT873 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT863 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT853 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT843 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT832 flush 4 0.01% 1 : 15515 99.81%
31 97s J9873 flush 4 0.01% 1 : 15515 99.81%
32 96s J9863 flush 4 0.01% 1 : 15515 99.80%
33 95s J9853 flush 4 0.01% 1 : 15515 99.79%
34 94s J9843 flush 4 0.01% 1 : 15515 99.79%
35 92s J9832 flush 4 0.01% 1 : 15515 99.78%
36 76s J8763 flush 4 0.01% 1 : 15515 99.77%
37 75s J8753 flush 4 0.01% 1 : 15515 99.77%
38 74s J8743 flush 4 0.01% 1 : 15515 99.76%
39 72s J8732 flush 4 0.01% 1 : 15515 99.76%
40 65s J8653 flush 4 0.01% 1 : 15515 99.75%
41 64s J8643 flush 4 0.01% 1 : 15515 99.74%
42 62s J8632 flush 4 0.01% 1 : 15515 99.74%
43 54s J8543 flush 4 0.01% 1 : 15515 99.73%
44 52s J8532 flush 4 0.01% 1 : 15515 99.72%
45 42s J8432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ83 three of a kind 64 0.10% 1 : 969 99.71%
47 88 J8883 three of a kind 64 0.10% 1 : 969 99.61%
48 33 J8333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J8 JJ883 two pairs 144 0.23% 1 : 430 99.40%
50 J3 JJ833 two pairs 144 0.23% 1 : 430 99.17%
51 83 J8833 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ83 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ83 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ83 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ83 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ83 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ83 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT83 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ983 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ873 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ863 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ853 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ843 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ832 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT83 one pair 384 0.62% 1 : 161 90.66%
66 99 J9983 one pair 384 0.62% 1 : 161 90.04%
67 A8 AJ883 one pair 384 0.62% 1 : 161 89.42%
68 K8 KJ883 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QJ883 one pair 384 0.62% 1 : 161 88.19%
70 T8 JT883 one pair 384 0.62% 1 : 161 87.57%
71 98 J9883 one pair 384 0.62% 1 : 161 86.95%
72 87 J8873 one pair 384 0.62% 1 : 161 86.33%
73 86 J8863 one pair 384 0.62% 1 : 161 85.71%
74 85 J8853 one pair 384 0.62% 1 : 161 85.09%
75 84 J8843 one pair 384 0.62% 1 : 161 84.47%
76 82 J8832 one pair 384 0.62% 1 : 161 83.86%
77 77 J8773 one pair 384 0.62% 1 : 161 83.24%
78 66 J8663 one pair 384 0.62% 1 : 161 82.62%
79 55 J8553 one pair 384 0.62% 1 : 161 82.00%
80 44 J8443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AJ833 one pair 384 0.62% 1 : 161 80.76%
82 K3 KJ833 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QJ833 one pair 384 0.62% 1 : 161 79.52%
84 T3 JT833 one pair 384 0.62% 1 : 161 78.91%
85 93 J9833 one pair 384 0.62% 1 : 161 78.29%
86 73 J8733 one pair 384 0.62% 1 : 161 77.67%
87 63 J8633 one pair 384 0.62% 1 : 161 77.05%
88 53 J8533 one pair 384 0.62% 1 : 161 76.43%
89 43 J8433 one pair 384 0.62% 1 : 161 75.81%
90 32 J8332 one pair 384 0.62% 1 : 161 75.19%
91 22 J8322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ83 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ83 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT83 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ863 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ853 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ832 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ83 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT83 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ983 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ863 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ853 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ843 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ832 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT83 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ983 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ873 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ863 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ853 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ843 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ832 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT863 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT853 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 J9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 J9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 J9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 J8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 J8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 J8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 J8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J8653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 J8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 J8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 J8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 J8432 high card 1,020 1.64% 1 : 59.8 1.64%