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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 AQs AKQ76 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ76 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT76 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK976 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK876 flush 4 0.01% 1 : 15515 99.97%
6 A5s AK765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK764 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK763 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK762 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ76 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT76 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ976 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ876 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQ765 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ764 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ763 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ762 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT76 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ976 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ764 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ763 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ762 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT976 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s KT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT764 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT763 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT762 flush 4 0.01% 1 : 15515 99.81%
31 98s K9876 flush 4 0.01% 1 : 15515 99.81%
32 95s K9765 flush 4 0.01% 1 : 15515 99.80%
33 94s K9764 flush 4 0.01% 1 : 15515 99.79%
34 93s K9763 flush 4 0.01% 1 : 15515 99.79%
35 92s K9762 flush 4 0.01% 1 : 15515 99.78%
36 85s K8765 flush 4 0.01% 1 : 15515 99.77%
37 84s K8764 flush 4 0.01% 1 : 15515 99.77%
38 83s K8763 flush 4 0.01% 1 : 15515 99.76%
39 82s K8762 flush 4 0.01% 1 : 15515 99.76%
40 54s K7654 flush 4 0.01% 1 : 15515 99.75%
41 53s K7653 flush 4 0.01% 1 : 15515 99.74%
42 52s K7652 flush 4 0.01% 1 : 15515 99.74%
43 43s K7643 flush 4 0.01% 1 : 15515 99.73%
44 42s K7642 flush 4 0.01% 1 : 15515 99.72%
45 32s K7632 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK76 three of a kind 64 0.10% 1 : 969 99.71%
47 77 K7776 three of a kind 64 0.10% 1 : 969 99.61%
48 66 K7666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K7 KK776 two pairs 144 0.23% 1 : 430 99.40%
50 K6 KK766 two pairs 144 0.23% 1 : 430 99.17%
51 76 K7766 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK76 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK76 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ76 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ76 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT76 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK976 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK876 one pair 384 0.62% 1 : 161 94.99%
59 K5 KK765 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK764 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK763 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK762 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ76 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ76 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT76 one pair 384 0.62% 1 : 161 90.66%
66 99 K9976 one pair 384 0.62% 1 : 161 90.04%
67 88 K8876 one pair 384 0.62% 1 : 161 89.42%
68 A7 AK776 one pair 384 0.62% 1 : 161 88.81%
69 Q7 KQ776 one pair 384 0.62% 1 : 161 88.19%
70 J7 KJ776 one pair 384 0.62% 1 : 161 87.57%
71 T7 KT776 one pair 384 0.62% 1 : 161 86.95%
72 97 K9776 one pair 384 0.62% 1 : 161 86.33%
73 87 K8776 one pair 384 0.62% 1 : 161 85.71%
74 75 K7765 one pair 384 0.62% 1 : 161 85.09%
75 74 K7764 one pair 384 0.62% 1 : 161 84.47%
76 73 K7763 one pair 384 0.62% 1 : 161 83.86%
77 72 K7762 one pair 384 0.62% 1 : 161 83.24%
78 A6 AK766 one pair 384 0.62% 1 : 161 82.62%
79 Q6 KQ766 one pair 384 0.62% 1 : 161 82.00%
80 J6 KJ766 one pair 384 0.62% 1 : 161 81.38%
81 T6 KT766 one pair 384 0.62% 1 : 161 80.76%
82 96 K9766 one pair 384 0.62% 1 : 161 80.14%
83 86 K8766 one pair 384 0.62% 1 : 161 79.52%
84 65 K7665 one pair 384 0.62% 1 : 161 78.91%
85 64 K7664 one pair 384 0.62% 1 : 161 78.29%
86 63 K7663 one pair 384 0.62% 1 : 161 77.67%
87 62 K7662 one pair 384 0.62% 1 : 161 77.05%
88 55 K7655 one pair 384 0.62% 1 : 161 76.43%
89 44 K7644 one pair 384 0.62% 1 : 161 75.81%
90 33 K7633 one pair 384 0.62% 1 : 161 75.19%
91 22 K7622 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ76 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ76 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT76 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK976 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK876 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AK765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK764 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK763 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK762 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ76 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT76 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ976 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ764 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ763 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ762 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT76 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ976 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ764 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ763 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ762 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT976 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 KT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT764 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT763 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT762 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 K9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 K9764 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9763 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9762 high card 1,020 1.64% 1 : 59.8 18.08%
127 85 K8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 K8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 K8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 K7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 K7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 K7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K7643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K7642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K7632 high card 1,020 1.64% 1 : 59.8 1.64%