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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 KQs AKQ65 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ65 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT65 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK965 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK865 flush 4 0.01% 1 : 15515 99.97%
6 K7s AK765 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK654 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK653 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK652 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ65 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT65 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ965 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ865 flush 4 0.01% 1 : 15515 99.92%
14 Q7s AQ765 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ654 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ653 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ652 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT65 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ965 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ865 flush 4 0.01% 1 : 15515 99.88%
21 J7s AJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ654 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ653 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ652 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT965 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT865 flush 4 0.01% 1 : 15515 99.84%
27 T7s AT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT653 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT652 flush 4 0.01% 1 : 15515 99.81%
31 98s A9865 flush 4 0.01% 1 : 15515 99.81%
32 97s A9765 flush 4 0.01% 1 : 15515 99.80%
33 94s A9654 flush 4 0.01% 1 : 15515 99.79%
34 93s A9653 flush 4 0.01% 1 : 15515 99.79%
35 92s A9652 flush 4 0.01% 1 : 15515 99.78%
36 87s A8765 flush 4 0.01% 1 : 15515 99.77%
37 84s A8654 flush 4 0.01% 1 : 15515 99.77%
38 83s A8653 flush 4 0.01% 1 : 15515 99.76%
39 82s A8652 flush 4 0.01% 1 : 15515 99.76%
40 74s A7654 flush 4 0.01% 1 : 15515 99.75%
41 73s A7653 flush 4 0.01% 1 : 15515 99.74%
42 72s A7652 flush 4 0.01% 1 : 15515 99.74%
43 43s A6543 flush 4 0.01% 1 : 15515 99.73%
44 42s A6542 flush 4 0.01% 1 : 15515 99.72%
45 32s A6532 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA65 three of a kind 64 0.10% 1 : 969 99.71%
47 66 A6665 three of a kind 64 0.10% 1 : 969 99.61%
48 55 A6555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A6 AA665 two pairs 144 0.23% 1 : 430 99.40%
50 A5 AA655 two pairs 144 0.23% 1 : 430 99.17%
51 65 A6655 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK65 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ65 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ65 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT65 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA965 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA865 one pair 384 0.62% 1 : 161 95.61%
58 A7 AA765 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA654 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA653 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA652 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK65 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ65 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ65 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT65 one pair 384 0.62% 1 : 161 90.66%
66 99 A9965 one pair 384 0.62% 1 : 161 90.04%
67 88 A8865 one pair 384 0.62% 1 : 161 89.42%
68 77 A7765 one pair 384 0.62% 1 : 161 88.81%
69 K6 AK665 one pair 384 0.62% 1 : 161 88.19%
70 Q6 AQ665 one pair 384 0.62% 1 : 161 87.57%
71 J6 AJ665 one pair 384 0.62% 1 : 161 86.95%
72 T6 AT665 one pair 384 0.62% 1 : 161 86.33%
73 96 A9665 one pair 384 0.62% 1 : 161 85.71%
74 86 A8665 one pair 384 0.62% 1 : 161 85.09%
75 76 A7665 one pair 384 0.62% 1 : 161 84.47%
76 64 A6654 one pair 384 0.62% 1 : 161 83.86%
77 63 A6653 one pair 384 0.62% 1 : 161 83.24%
78 62 A6652 one pair 384 0.62% 1 : 161 82.62%
79 K5 AK655 one pair 384 0.62% 1 : 161 82.00%
80 Q5 AQ655 one pair 384 0.62% 1 : 161 81.38%
81 J5 AJ655 one pair 384 0.62% 1 : 161 80.76%
82 T5 AT655 one pair 384 0.62% 1 : 161 80.14%
83 95 A9655 one pair 384 0.62% 1 : 161 79.52%
84 85 A8655 one pair 384 0.62% 1 : 161 78.91%
85 75 A7655 one pair 384 0.62% 1 : 161 78.29%
86 54 A6554 one pair 384 0.62% 1 : 161 77.67%
87 53 A6553 one pair 384 0.62% 1 : 161 77.05%
88 52 A6552 one pair 384 0.62% 1 : 161 76.43%
89 44 A6544 one pair 384 0.62% 1 : 161 75.81%
90 33 A6533 one pair 384 0.62% 1 : 161 75.19%
91 22 A6522 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ65 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ65 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT65 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK965 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK865 high card 1,020 1.64% 1 : 59.8 67.38%
97 K7 AK765 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK654 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK653 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK652 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ65 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT65 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ965 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ865 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 AQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ653 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ652 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT65 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ965 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ865 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 AJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ653 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ652 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT965 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT865 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 AT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT653 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT652 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9865 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 A9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 A9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9653 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9652 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 A8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 A8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 A8653 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 A8652 high card 1,020 1.64% 1 : 59.8 11.50%
131 74 A7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 A7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 A7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A6532 high card 1,020 1.64% 1 : 59.8 1.64%