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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 AKJ65 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ65 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT65 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ965 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ865 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJ654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ653 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ652 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ65 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT65 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ965 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ865 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ765 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJ654 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ653 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ652 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT65 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ965 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ865 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ765 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJ654 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ653 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ652 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT965 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT865 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT653 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT652 flush 4 0.01% 1 : 15515 99.81%
31 98s J9865 flush 4 0.01% 1 : 15515 99.81%
32 97s J9765 flush 4 0.01% 1 : 15515 99.80%
33 94s J9654 flush 4 0.01% 1 : 15515 99.79%
34 93s J9653 flush 4 0.01% 1 : 15515 99.79%
35 92s J9652 flush 4 0.01% 1 : 15515 99.78%
36 87s J8765 flush 4 0.01% 1 : 15515 99.77%
37 84s J8654 flush 4 0.01% 1 : 15515 99.77%
38 83s J8653 flush 4 0.01% 1 : 15515 99.76%
39 82s J8652 flush 4 0.01% 1 : 15515 99.76%
40 74s J7654 flush 4 0.01% 1 : 15515 99.75%
41 73s J7653 flush 4 0.01% 1 : 15515 99.74%
42 72s J7652 flush 4 0.01% 1 : 15515 99.74%
43 43s J6543 flush 4 0.01% 1 : 15515 99.73%
44 42s J6542 flush 4 0.01% 1 : 15515 99.72%
45 32s J6532 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ65 three of a kind 64 0.10% 1 : 969 99.71%
47 66 J6665 three of a kind 64 0.10% 1 : 969 99.61%
48 55 J6555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J6 JJ665 two pairs 144 0.23% 1 : 430 99.40%
50 J5 JJ655 two pairs 144 0.23% 1 : 430 99.17%
51 65 J6655 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ65 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ65 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ65 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ65 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ65 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ65 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT65 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ965 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ865 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ765 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJ654 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ653 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ652 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT65 one pair 384 0.62% 1 : 161 90.66%
66 99 J9965 one pair 384 0.62% 1 : 161 90.04%
67 88 J8865 one pair 384 0.62% 1 : 161 89.42%
68 77 J7765 one pair 384 0.62% 1 : 161 88.81%
69 A6 AJ665 one pair 384 0.62% 1 : 161 88.19%
70 K6 KJ665 one pair 384 0.62% 1 : 161 87.57%
71 Q6 QJ665 one pair 384 0.62% 1 : 161 86.95%
72 T6 JT665 one pair 384 0.62% 1 : 161 86.33%
73 96 J9665 one pair 384 0.62% 1 : 161 85.71%
74 86 J8665 one pair 384 0.62% 1 : 161 85.09%
75 76 J7665 one pair 384 0.62% 1 : 161 84.47%
76 64 J6654 one pair 384 0.62% 1 : 161 83.86%
77 63 J6653 one pair 384 0.62% 1 : 161 83.24%
78 62 J6652 one pair 384 0.62% 1 : 161 82.62%
79 A5 AJ655 one pair 384 0.62% 1 : 161 82.00%
80 K5 KJ655 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QJ655 one pair 384 0.62% 1 : 161 80.76%
82 T5 JT655 one pair 384 0.62% 1 : 161 80.14%
83 95 J9655 one pair 384 0.62% 1 : 161 79.52%
84 85 J8655 one pair 384 0.62% 1 : 161 78.91%
85 75 J7655 one pair 384 0.62% 1 : 161 78.29%
86 54 J6554 one pair 384 0.62% 1 : 161 77.67%
87 53 J6553 one pair 384 0.62% 1 : 161 77.05%
88 52 J6552 one pair 384 0.62% 1 : 161 76.43%
89 44 J6544 one pair 384 0.62% 1 : 161 75.81%
90 33 J6533 one pair 384 0.62% 1 : 161 75.19%
91 22 J6522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ65 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ65 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT65 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ965 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ865 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJ654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ653 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ652 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ65 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT65 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ965 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ865 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ653 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ652 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT65 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ965 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ865 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ653 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ652 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT965 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT865 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT653 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT652 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9865 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 J9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9653 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9652 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 J8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 J8653 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8652 high card 1,020 1.64% 1 : 59.8 11.50%
131 74 J7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 J7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 J7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J6532 high card 1,020 1.64% 1 : 59.8 1.64%