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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 AKQ83 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ83 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT83 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ983 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ873 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ863 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ853 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ843 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ832 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ83 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT83 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ983 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ873 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ863 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ853 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ843 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ832 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT83 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ983 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ873 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ863 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ853 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ843 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ832 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT983 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT873 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT863 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT853 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT843 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT832 flush 4 0.01% 1 : 15515 99.81%
31 97s Q9873 flush 4 0.01% 1 : 15515 99.81%
32 96s Q9863 flush 4 0.01% 1 : 15515 99.80%
33 95s Q9853 flush 4 0.01% 1 : 15515 99.79%
34 94s Q9843 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9832 flush 4 0.01% 1 : 15515 99.78%
36 76s Q8763 flush 4 0.01% 1 : 15515 99.77%
37 75s Q8753 flush 4 0.01% 1 : 15515 99.77%
38 74s Q8743 flush 4 0.01% 1 : 15515 99.76%
39 72s Q8732 flush 4 0.01% 1 : 15515 99.76%
40 65s Q8653 flush 4 0.01% 1 : 15515 99.75%
41 64s Q8643 flush 4 0.01% 1 : 15515 99.74%
42 62s Q8632 flush 4 0.01% 1 : 15515 99.74%
43 54s Q8543 flush 4 0.01% 1 : 15515 99.73%
44 52s Q8532 flush 4 0.01% 1 : 15515 99.72%
45 42s Q8432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ83 three of a kind 64 0.10% 1 : 969 99.71%
47 88 Q8883 three of a kind 64 0.10% 1 : 969 99.61%
48 33 Q8333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q8 QQ883 two pairs 144 0.23% 1 : 430 99.40%
50 Q3 QQ833 two pairs 144 0.23% 1 : 430 99.17%
51 83 Q8833 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ83 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ83 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ83 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ83 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ83 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT83 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ983 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ873 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ863 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ853 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ843 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ832 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ83 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT83 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9983 one pair 384 0.62% 1 : 161 90.04%
67 A8 AQ883 one pair 384 0.62% 1 : 161 89.42%
68 K8 KQ883 one pair 384 0.62% 1 : 161 88.81%
69 J8 QJ883 one pair 384 0.62% 1 : 161 88.19%
70 T8 QT883 one pair 384 0.62% 1 : 161 87.57%
71 98 Q9883 one pair 384 0.62% 1 : 161 86.95%
72 87 Q8873 one pair 384 0.62% 1 : 161 86.33%
73 86 Q8863 one pair 384 0.62% 1 : 161 85.71%
74 85 Q8853 one pair 384 0.62% 1 : 161 85.09%
75 84 Q8843 one pair 384 0.62% 1 : 161 84.47%
76 82 Q8832 one pair 384 0.62% 1 : 161 83.86%
77 77 Q8773 one pair 384 0.62% 1 : 161 83.24%
78 66 Q8663 one pair 384 0.62% 1 : 161 82.62%
79 55 Q8553 one pair 384 0.62% 1 : 161 82.00%
80 44 Q8443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AQ833 one pair 384 0.62% 1 : 161 80.76%
82 K3 KQ833 one pair 384 0.62% 1 : 161 80.14%
83 J3 QJ833 one pair 384 0.62% 1 : 161 79.52%
84 T3 QT833 one pair 384 0.62% 1 : 161 78.91%
85 93 Q9833 one pair 384 0.62% 1 : 161 78.29%
86 73 Q8733 one pair 384 0.62% 1 : 161 77.67%
87 63 Q8633 one pair 384 0.62% 1 : 161 77.05%
88 53 Q8533 one pair 384 0.62% 1 : 161 76.43%
89 43 Q8433 one pair 384 0.62% 1 : 161 75.81%
90 32 Q8332 one pair 384 0.62% 1 : 161 75.19%
91 22 Q8322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ83 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ83 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT83 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ863 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ853 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ832 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ83 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT83 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ983 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ863 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ853 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ843 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ832 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT83 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ983 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ873 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ863 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ853 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ843 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ832 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT863 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT853 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 Q9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 Q9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 Q9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 Q9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 Q8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 Q8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 Q8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 Q8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q8653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 Q8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 Q8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 Q8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 Q8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 Q8432 high card 1,020 1.64% 1 : 59.8 1.64%