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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 AKQT6 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJT6 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKT96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKT86 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKT76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKT65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKT64 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKT63 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKT62 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJT6 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQT96 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQT86 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQT76 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQT65 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQT64 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQT63 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQT62 flush 4 0.01% 1 : 15515 99.90%
18 J9s KJT96 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJT86 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJT76 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJT65 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJT64 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJT63 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJT62 flush 4 0.01% 1 : 15515 99.85%
25 98s KT986 flush 4 0.01% 1 : 15515 99.85%
26 97s KT976 flush 4 0.01% 1 : 15515 99.84%
27 95s KT965 flush 4 0.01% 1 : 15515 99.83%
28 94s KT964 flush 4 0.01% 1 : 15515 99.83%
29 93s KT963 flush 4 0.01% 1 : 15515 99.82%
30 92s KT962 flush 4 0.01% 1 : 15515 99.81%
31 87s KT876 flush 4 0.01% 1 : 15515 99.81%
32 85s KT865 flush 4 0.01% 1 : 15515 99.80%
33 84s KT864 flush 4 0.01% 1 : 15515 99.79%
34 83s KT863 flush 4 0.01% 1 : 15515 99.79%
35 82s KT862 flush 4 0.01% 1 : 15515 99.78%
36 75s KT765 flush 4 0.01% 1 : 15515 99.77%
37 74s KT764 flush 4 0.01% 1 : 15515 99.77%
38 73s KT763 flush 4 0.01% 1 : 15515 99.76%
39 72s KT762 flush 4 0.01% 1 : 15515 99.76%
40 54s KT654 flush 4 0.01% 1 : 15515 99.75%
41 53s KT653 flush 4 0.01% 1 : 15515 99.74%
42 52s KT652 flush 4 0.01% 1 : 15515 99.74%
43 43s KT643 flush 4 0.01% 1 : 15515 99.73%
44 42s KT642 flush 4 0.01% 1 : 15515 99.72%
45 32s KT632 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKT6 three of a kind 64 0.10% 1 : 969 99.71%
47 TT KTTT6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 KT666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KT KKTT6 two pairs 144 0.23% 1 : 430 99.40%
50 K6 KKT66 two pairs 144 0.23% 1 : 430 99.17%
51 T6 KTT66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKT6 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKT6 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQT6 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJT6 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKT96 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKT86 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKT76 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKT65 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKT64 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKT63 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKT62 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQT6 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJT6 one pair 384 0.62% 1 : 161 91.28%
65 AT AKTT6 one pair 384 0.62% 1 : 161 90.66%
66 QT KQTT6 one pair 384 0.62% 1 : 161 90.04%
67 JT KJTT6 one pair 384 0.62% 1 : 161 89.42%
68 T9 KTT96 one pair 384 0.62% 1 : 161 88.81%
69 T8 KTT86 one pair 384 0.62% 1 : 161 88.19%
70 T7 KTT76 one pair 384 0.62% 1 : 161 87.57%
71 T5 KTT65 one pair 384 0.62% 1 : 161 86.95%
72 T4 KTT64 one pair 384 0.62% 1 : 161 86.33%
73 T3 KTT63 one pair 384 0.62% 1 : 161 85.71%
74 T2 KTT62 one pair 384 0.62% 1 : 161 85.09%
75 99 KT996 one pair 384 0.62% 1 : 161 84.47%
76 88 KT886 one pair 384 0.62% 1 : 161 83.86%
77 77 KT776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AKT66 one pair 384 0.62% 1 : 161 82.62%
79 Q6 KQT66 one pair 384 0.62% 1 : 161 82.00%
80 J6 KJT66 one pair 384 0.62% 1 : 161 81.38%
81 96 KT966 one pair 384 0.62% 1 : 161 80.76%
82 86 KT866 one pair 384 0.62% 1 : 161 80.14%
83 76 KT766 one pair 384 0.62% 1 : 161 79.52%
84 65 KT665 one pair 384 0.62% 1 : 161 78.91%
85 64 KT664 one pair 384 0.62% 1 : 161 78.29%
86 63 KT663 one pair 384 0.62% 1 : 161 77.67%
87 62 KT662 one pair 384 0.62% 1 : 161 77.05%
88 55 KT655 one pair 384 0.62% 1 : 161 76.43%
89 44 KT644 one pair 384 0.62% 1 : 161 75.81%
90 33 KT633 one pair 384 0.62% 1 : 161 75.19%
91 22 KT622 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQT6 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKT86 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKT76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKT65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKT64 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKT63 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKT62 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQT86 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQT76 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQT65 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQT64 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQT63 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQT62 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 KJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KT964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KT963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KT962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 KT865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KT864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KT863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KT862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 KT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 KT764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KT763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KT762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KT653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KT652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KT643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KT642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KT632 high card 1,020 1.64% 1 : 59.8 1.64%