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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 QJs AKQJ6 flush 4 0.01% 1 : 15515 100.00%
2 QTs AKQT6 flush 4 0.01% 1 : 15515 99.99%
3 Q9s AKQ96 flush 4 0.01% 1 : 15515 99.99%
4 Q8s AKQ86 flush 4 0.01% 1 : 15515 99.98%
5 Q7s AKQ76 flush 4 0.01% 1 : 15515 99.97%
6 Q5s AKQ65 flush 4 0.01% 1 : 15515 99.97%
7 Q4s AKQ64 flush 4 0.01% 1 : 15515 99.96%
8 Q3s AKQ63 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQ62 flush 4 0.01% 1 : 15515 99.95%
10 JTs AKJT6 flush 4 0.01% 1 : 15515 99.94%
11 J9s AKJ96 flush 4 0.01% 1 : 15515 99.94%
12 J8s AKJ86 flush 4 0.01% 1 : 15515 99.93%
13 J7s AKJ76 flush 4 0.01% 1 : 15515 99.92%
14 J5s AKJ65 flush 4 0.01% 1 : 15515 99.92%
15 J4s AKJ64 flush 4 0.01% 1 : 15515 99.91%
16 J3s AKJ63 flush 4 0.01% 1 : 15515 99.90%
17 J2s AKJ62 flush 4 0.01% 1 : 15515 99.90%
18 T9s AKT96 flush 4 0.01% 1 : 15515 99.89%
19 T8s AKT86 flush 4 0.01% 1 : 15515 99.88%
20 T7s AKT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s AKT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s AKT64 flush 4 0.01% 1 : 15515 99.86%
23 T3s AKT63 flush 4 0.01% 1 : 15515 99.86%
24 T2s AKT62 flush 4 0.01% 1 : 15515 99.85%
25 98s AK986 flush 4 0.01% 1 : 15515 99.85%
26 97s AK976 flush 4 0.01% 1 : 15515 99.84%
27 95s AK965 flush 4 0.01% 1 : 15515 99.83%
28 94s AK964 flush 4 0.01% 1 : 15515 99.83%
29 93s AK963 flush 4 0.01% 1 : 15515 99.82%
30 92s AK962 flush 4 0.01% 1 : 15515 99.81%
31 87s AK876 flush 4 0.01% 1 : 15515 99.81%
32 85s AK865 flush 4 0.01% 1 : 15515 99.80%
33 84s AK864 flush 4 0.01% 1 : 15515 99.79%
34 83s AK863 flush 4 0.01% 1 : 15515 99.79%
35 82s AK862 flush 4 0.01% 1 : 15515 99.78%
36 75s AK765 flush 4 0.01% 1 : 15515 99.77%
37 74s AK764 flush 4 0.01% 1 : 15515 99.77%
38 73s AK763 flush 4 0.01% 1 : 15515 99.76%
39 72s AK762 flush 4 0.01% 1 : 15515 99.76%
40 54s AK654 flush 4 0.01% 1 : 15515 99.75%
41 53s AK653 flush 4 0.01% 1 : 15515 99.74%
42 52s AK652 flush 4 0.01% 1 : 15515 99.74%
43 43s AK643 flush 4 0.01% 1 : 15515 99.73%
44 42s AK642 flush 4 0.01% 1 : 15515 99.72%
45 32s AK632 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAK6 three of a kind 64 0.10% 1 : 969 99.71%
47 KK AKKK6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 AK666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AK AAKK6 two pairs 144 0.23% 1 : 430 99.40%
50 A6 AAK66 two pairs 144 0.23% 1 : 430 99.17%
51 K6 AKK66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AQ AAKQ6 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAKJ6 one pair 384 0.62% 1 : 161 98.09%
54 AT AAKT6 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAK96 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAK86 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAK76 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAK65 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAK64 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAK63 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAK62 one pair 384 0.62% 1 : 161 93.14%
62 KQ AKKQ6 one pair 384 0.62% 1 : 161 92.52%
63 KJ AKKJ6 one pair 384 0.62% 1 : 161 91.90%
64 KT AKKT6 one pair 384 0.62% 1 : 161 91.28%
65 K9 AKK96 one pair 384 0.62% 1 : 161 90.66%
66 K8 AKK86 one pair 384 0.62% 1 : 161 90.04%
67 K7 AKK76 one pair 384 0.62% 1 : 161 89.42%
68 K5 AKK65 one pair 384 0.62% 1 : 161 88.81%
69 K4 AKK64 one pair 384 0.62% 1 : 161 88.19%
70 K3 AKK63 one pair 384 0.62% 1 : 161 87.57%
71 K2 AKK62 one pair 384 0.62% 1 : 161 86.95%
72 QQ AKQQ6 one pair 384 0.62% 1 : 161 86.33%
73 JJ AKJJ6 one pair 384 0.62% 1 : 161 85.71%
74 TT AKTT6 one pair 384 0.62% 1 : 161 85.09%
75 99 AK996 one pair 384 0.62% 1 : 161 84.47%
76 88 AK886 one pair 384 0.62% 1 : 161 83.86%
77 77 AK776 one pair 384 0.62% 1 : 161 83.24%
78 Q6 AKQ66 one pair 384 0.62% 1 : 161 82.62%
79 J6 AKJ66 one pair 384 0.62% 1 : 161 82.00%
80 T6 AKT66 one pair 384 0.62% 1 : 161 81.38%
81 96 AK966 one pair 384 0.62% 1 : 161 80.76%
82 86 AK866 one pair 384 0.62% 1 : 161 80.14%
83 76 AK766 one pair 384 0.62% 1 : 161 79.52%
84 65 AK665 one pair 384 0.62% 1 : 161 78.91%
85 64 AK664 one pair 384 0.62% 1 : 161 78.29%
86 63 AK663 one pair 384 0.62% 1 : 161 77.67%
87 62 AK662 one pair 384 0.62% 1 : 161 77.05%
88 55 AK655 one pair 384 0.62% 1 : 161 76.43%
89 44 AK644 one pair 384 0.62% 1 : 161 75.81%
90 33 AK633 one pair 384 0.62% 1 : 161 75.19%
91 22 AK622 one pair 384 0.62% 1 : 161 74.57%
 
92 QJ AKQJ6 high card 1,020 1.64% 1 : 59.8 73.96%
93 QT AKQT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q9 AKQ96 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q8 AKQ86 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q7 AKQ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q5 AKQ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q4 AKQ64 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q3 AKQ63 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQ62 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AKJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AKJ96 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AKJ86 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AKJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AKJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AKJ64 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AKJ63 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AKJ62 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AKT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AKT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AKT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AKT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AKT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AKT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AKT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AK986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AK976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AK965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AK964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AK963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AK962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AK876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 AK865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AK864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AK863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AK862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 AK765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 AK764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AK763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AK762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AK654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AK653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AK652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AK643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AK642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AK632 high card 1,020 1.64% 1 : 59.8 1.64%