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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 AKJT6 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJT6 flush 4 0.01% 1 : 15515 99.99%
3 A9s AJT96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJT86 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJT76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AJT65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJT64 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJT63 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJT62 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJT6 flush 4 0.01% 1 : 15515 99.94%
11 K9s KJT96 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJT86 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJT76 flush 4 0.01% 1 : 15515 99.92%
14 K5s KJT65 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJT64 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJT63 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJT62 flush 4 0.01% 1 : 15515 99.90%
18 Q9s QJT96 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJT86 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJT76 flush 4 0.01% 1 : 15515 99.88%
21 Q5s QJT65 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJT64 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJT63 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJT62 flush 4 0.01% 1 : 15515 99.85%
25 98s JT986 flush 4 0.01% 1 : 15515 99.85%
26 97s JT976 flush 4 0.01% 1 : 15515 99.84%
27 95s JT965 flush 4 0.01% 1 : 15515 99.83%
28 94s JT964 flush 4 0.01% 1 : 15515 99.83%
29 93s JT963 flush 4 0.01% 1 : 15515 99.82%
30 92s JT962 flush 4 0.01% 1 : 15515 99.81%
31 87s JT876 flush 4 0.01% 1 : 15515 99.81%
32 85s JT865 flush 4 0.01% 1 : 15515 99.80%
33 84s JT864 flush 4 0.01% 1 : 15515 99.79%
34 83s JT863 flush 4 0.01% 1 : 15515 99.79%
35 82s JT862 flush 4 0.01% 1 : 15515 99.78%
36 75s JT765 flush 4 0.01% 1 : 15515 99.77%
37 74s JT764 flush 4 0.01% 1 : 15515 99.77%
38 73s JT763 flush 4 0.01% 1 : 15515 99.76%
39 72s JT762 flush 4 0.01% 1 : 15515 99.76%
40 54s JT654 flush 4 0.01% 1 : 15515 99.75%
41 53s JT653 flush 4 0.01% 1 : 15515 99.74%
42 52s JT652 flush 4 0.01% 1 : 15515 99.74%
43 43s JT643 flush 4 0.01% 1 : 15515 99.73%
44 42s JT642 flush 4 0.01% 1 : 15515 99.72%
45 32s JT632 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJT6 three of a kind 64 0.10% 1 : 969 99.71%
47 TT JTTT6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 JT666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 JT JJTT6 two pairs 144 0.23% 1 : 430 99.40%
50 J6 JJT66 two pairs 144 0.23% 1 : 430 99.17%
51 T6 JTT66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJT6 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJT6 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJT6 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJT6 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJT6 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJT6 one pair 384 0.62% 1 : 161 95.61%
58 J9 JJT96 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJT86 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJT76 one pair 384 0.62% 1 : 161 93.75%
61 J5 JJT65 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJT64 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJT63 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJT62 one pair 384 0.62% 1 : 161 91.28%
65 AT AJTT6 one pair 384 0.62% 1 : 161 90.66%
66 KT KJTT6 one pair 384 0.62% 1 : 161 90.04%
67 QT QJTT6 one pair 384 0.62% 1 : 161 89.42%
68 T9 JTT96 one pair 384 0.62% 1 : 161 88.81%
69 T8 JTT86 one pair 384 0.62% 1 : 161 88.19%
70 T7 JTT76 one pair 384 0.62% 1 : 161 87.57%
71 T5 JTT65 one pair 384 0.62% 1 : 161 86.95%
72 T4 JTT64 one pair 384 0.62% 1 : 161 86.33%
73 T3 JTT63 one pair 384 0.62% 1 : 161 85.71%
74 T2 JTT62 one pair 384 0.62% 1 : 161 85.09%
75 99 JT996 one pair 384 0.62% 1 : 161 84.47%
76 88 JT886 one pair 384 0.62% 1 : 161 83.86%
77 77 JT776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AJT66 one pair 384 0.62% 1 : 161 82.62%
79 K6 KJT66 one pair 384 0.62% 1 : 161 82.00%
80 Q6 QJT66 one pair 384 0.62% 1 : 161 81.38%
81 96 JT966 one pair 384 0.62% 1 : 161 80.76%
82 86 JT866 one pair 384 0.62% 1 : 161 80.14%
83 76 JT766 one pair 384 0.62% 1 : 161 79.52%
84 65 JT665 one pair 384 0.62% 1 : 161 78.91%
85 64 JT664 one pair 384 0.62% 1 : 161 78.29%
86 63 JT663 one pair 384 0.62% 1 : 161 77.67%
87 62 JT662 one pair 384 0.62% 1 : 161 77.05%
88 55 JT655 one pair 384 0.62% 1 : 161 76.43%
89 44 JT644 one pair 384 0.62% 1 : 161 75.81%
90 33 JT633 one pair 384 0.62% 1 : 161 75.19%
91 22 JT622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJT6 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AJT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJT86 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJT76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AJT65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJT64 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJT63 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJT62 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KJT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJT86 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJT76 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KJT65 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJT64 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJT63 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJT62 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q9 QJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q5 QJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 JT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 JT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 JT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 JT964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 JT963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 JT962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 JT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 JT865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 JT864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 JT863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 JT862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 JT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 JT764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 JT763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 JT762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 JT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 JT653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 JT652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 JT643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 JT642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 JT632 high card 1,020 1.64% 1 : 59.8 1.64%