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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 AKQT6 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJT6 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQT96 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQT86 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQT76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQT65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQT64 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQT63 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQT62 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJT6 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQT96 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQT86 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQT76 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQT65 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQT64 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQT63 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQT62 flush 4 0.01% 1 : 15515 99.90%
18 J9s QJT96 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJT86 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJT76 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJT65 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJT64 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJT63 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJT62 flush 4 0.01% 1 : 15515 99.85%
25 98s QT986 flush 4 0.01% 1 : 15515 99.85%
26 97s QT976 flush 4 0.01% 1 : 15515 99.84%
27 95s QT965 flush 4 0.01% 1 : 15515 99.83%
28 94s QT964 flush 4 0.01% 1 : 15515 99.83%
29 93s QT963 flush 4 0.01% 1 : 15515 99.82%
30 92s QT962 flush 4 0.01% 1 : 15515 99.81%
31 87s QT876 flush 4 0.01% 1 : 15515 99.81%
32 85s QT865 flush 4 0.01% 1 : 15515 99.80%
33 84s QT864 flush 4 0.01% 1 : 15515 99.79%
34 83s QT863 flush 4 0.01% 1 : 15515 99.79%
35 82s QT862 flush 4 0.01% 1 : 15515 99.78%
36 75s QT765 flush 4 0.01% 1 : 15515 99.77%
37 74s QT764 flush 4 0.01% 1 : 15515 99.77%
38 73s QT763 flush 4 0.01% 1 : 15515 99.76%
39 72s QT762 flush 4 0.01% 1 : 15515 99.76%
40 54s QT654 flush 4 0.01% 1 : 15515 99.75%
41 53s QT653 flush 4 0.01% 1 : 15515 99.74%
42 52s QT652 flush 4 0.01% 1 : 15515 99.74%
43 43s QT643 flush 4 0.01% 1 : 15515 99.73%
44 42s QT642 flush 4 0.01% 1 : 15515 99.72%
45 32s QT632 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQT6 three of a kind 64 0.10% 1 : 969 99.71%
47 TT QTTT6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 QT666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QT QQTT6 two pairs 144 0.23% 1 : 430 99.40%
50 Q6 QQT66 two pairs 144 0.23% 1 : 430 99.17%
51 T6 QTT66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQT6 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQT6 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQT6 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQT6 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJT6 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQT96 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQT86 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQT76 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQT65 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQT64 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQT63 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQT62 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJT6 one pair 384 0.62% 1 : 161 91.28%
65 AT AQTT6 one pair 384 0.62% 1 : 161 90.66%
66 KT KQTT6 one pair 384 0.62% 1 : 161 90.04%
67 JT QJTT6 one pair 384 0.62% 1 : 161 89.42%
68 T9 QTT96 one pair 384 0.62% 1 : 161 88.81%
69 T8 QTT86 one pair 384 0.62% 1 : 161 88.19%
70 T7 QTT76 one pair 384 0.62% 1 : 161 87.57%
71 T5 QTT65 one pair 384 0.62% 1 : 161 86.95%
72 T4 QTT64 one pair 384 0.62% 1 : 161 86.33%
73 T3 QTT63 one pair 384 0.62% 1 : 161 85.71%
74 T2 QTT62 one pair 384 0.62% 1 : 161 85.09%
75 99 QT996 one pair 384 0.62% 1 : 161 84.47%
76 88 QT886 one pair 384 0.62% 1 : 161 83.86%
77 77 QT776 one pair 384 0.62% 1 : 161 83.24%
78 A6 AQT66 one pair 384 0.62% 1 : 161 82.62%
79 K6 KQT66 one pair 384 0.62% 1 : 161 82.00%
80 J6 QJT66 one pair 384 0.62% 1 : 161 81.38%
81 96 QT966 one pair 384 0.62% 1 : 161 80.76%
82 86 QT866 one pair 384 0.62% 1 : 161 80.14%
83 76 QT766 one pair 384 0.62% 1 : 161 79.52%
84 65 QT665 one pair 384 0.62% 1 : 161 78.91%
85 64 QT664 one pair 384 0.62% 1 : 161 78.29%
86 63 QT663 one pair 384 0.62% 1 : 161 77.67%
87 62 QT662 one pair 384 0.62% 1 : 161 77.05%
88 55 QT655 one pair 384 0.62% 1 : 161 76.43%
89 44 QT644 one pair 384 0.62% 1 : 161 75.81%
90 33 QT633 one pair 384 0.62% 1 : 161 75.19%
91 22 QT622 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQT6 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQT86 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQT76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQT65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQT64 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQT63 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQT62 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQT86 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQT76 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQT65 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQT64 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQT63 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQT62 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 QJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 QT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 QT964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QT963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QT962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 QT865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 QT864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 QT863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QT862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 QT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 QT764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 QT763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 QT762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QT653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QT652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QT643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QT642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QT632 high card 1,020 1.64% 1 : 59.8 1.64%