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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 AKT65 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT65 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT65 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT965 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT865 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AT654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AT653 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT652 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT65 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT65 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT965 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT865 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT765 flush 4 0.01% 1 : 15515 99.92%
15 K4s KT654 flush 4 0.01% 1 : 15515 99.91%
16 K3s KT653 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT652 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT65 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT965 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT865 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT765 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QT654 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QT653 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT652 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT965 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT865 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT765 flush 4 0.01% 1 : 15515 99.83%
28 J4s JT654 flush 4 0.01% 1 : 15515 99.83%
29 J3s JT653 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT652 flush 4 0.01% 1 : 15515 99.81%
31 98s T9865 flush 4 0.01% 1 : 15515 99.81%
32 97s T9765 flush 4 0.01% 1 : 15515 99.80%
33 94s T9654 flush 4 0.01% 1 : 15515 99.79%
34 93s T9653 flush 4 0.01% 1 : 15515 99.79%
35 92s T9652 flush 4 0.01% 1 : 15515 99.78%
36 87s T8765 flush 4 0.01% 1 : 15515 99.77%
37 84s T8654 flush 4 0.01% 1 : 15515 99.77%
38 83s T8653 flush 4 0.01% 1 : 15515 99.76%
39 82s T8652 flush 4 0.01% 1 : 15515 99.76%
40 74s T7654 flush 4 0.01% 1 : 15515 99.75%
41 73s T7653 flush 4 0.01% 1 : 15515 99.74%
42 72s T7652 flush 4 0.01% 1 : 15515 99.74%
43 43s T6543 flush 4 0.01% 1 : 15515 99.73%
44 42s T6542 flush 4 0.01% 1 : 15515 99.72%
45 32s T6532 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT65 three of a kind 64 0.10% 1 : 969 99.71%
47 66 T6665 three of a kind 64 0.10% 1 : 969 99.61%
48 55 T6555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T6 TT665 two pairs 144 0.23% 1 : 430 99.40%
50 T5 TT655 two pairs 144 0.23% 1 : 430 99.17%
51 65 T6655 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT65 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT65 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT65 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT65 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT65 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT65 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT65 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT65 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT965 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT865 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT765 one pair 384 0.62% 1 : 161 92.52%
63 T4 TT654 one pair 384 0.62% 1 : 161 91.90%
64 T3 TT653 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT652 one pair 384 0.62% 1 : 161 90.66%
66 99 T9965 one pair 384 0.62% 1 : 161 90.04%
67 88 T8865 one pair 384 0.62% 1 : 161 89.42%
68 77 T7765 one pair 384 0.62% 1 : 161 88.81%
69 A6 AT665 one pair 384 0.62% 1 : 161 88.19%
70 K6 KT665 one pair 384 0.62% 1 : 161 87.57%
71 Q6 QT665 one pair 384 0.62% 1 : 161 86.95%
72 J6 JT665 one pair 384 0.62% 1 : 161 86.33%
73 96 T9665 one pair 384 0.62% 1 : 161 85.71%
74 86 T8665 one pair 384 0.62% 1 : 161 85.09%
75 76 T7665 one pair 384 0.62% 1 : 161 84.47%
76 64 T6654 one pair 384 0.62% 1 : 161 83.86%
77 63 T6653 one pair 384 0.62% 1 : 161 83.24%
78 62 T6652 one pair 384 0.62% 1 : 161 82.62%
79 A5 AT655 one pair 384 0.62% 1 : 161 82.00%
80 K5 KT655 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QT655 one pair 384 0.62% 1 : 161 80.76%
82 J5 JT655 one pair 384 0.62% 1 : 161 80.14%
83 95 T9655 one pair 384 0.62% 1 : 161 79.52%
84 85 T8655 one pair 384 0.62% 1 : 161 78.91%
85 75 T7655 one pair 384 0.62% 1 : 161 78.29%
86 54 T6554 one pair 384 0.62% 1 : 161 77.67%
87 53 T6553 one pair 384 0.62% 1 : 161 77.05%
88 52 T6552 one pair 384 0.62% 1 : 161 76.43%
89 44 T6544 one pair 384 0.62% 1 : 161 75.81%
90 33 T6533 one pair 384 0.62% 1 : 161 75.19%
91 22 T6522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT65 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT65 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT65 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT965 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT865 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AT654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AT653 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT652 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT65 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT65 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT965 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT865 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT765 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KT654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KT653 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT652 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT65 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT965 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT865 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT765 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QT654 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QT653 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT652 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT965 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT865 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 J4 JT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 JT653 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT652 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9865 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 T9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9653 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9652 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 T8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 T8653 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8652 high card 1,020 1.64% 1 : 59.8 11.50%
131 74 T7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 T7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 T7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T6532 high card 1,020 1.64% 1 : 59.8 1.64%