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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 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 98s T9876 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKT76 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQT76 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJT76 flush 4 0.01% 1 : 15515 99.98%
5 A9s AT976 flush 4 0.01% 1 : 15515 99.97%
6 A8s AT876 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT765 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT764 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT763 flush 4 0.01% 1 : 15515 99.95%
10 A2s AT762 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQT76 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJT76 flush 4 0.01% 1 : 15515 99.93%
13 K9s KT976 flush 4 0.01% 1 : 15515 99.92%
14 K8s KT876 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT765 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT764 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT763 flush 4 0.01% 1 : 15515 99.90%
18 K2s KT762 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJT76 flush 4 0.01% 1 : 15515 99.88%
20 Q9s QT976 flush 4 0.01% 1 : 15515 99.88%
21 Q8s QT876 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT765 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT764 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT763 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QT762 flush 4 0.01% 1 : 15515 99.85%
26 J9s JT976 flush 4 0.01% 1 : 15515 99.84%
27 J8s JT876 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT765 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT764 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT763 flush 4 0.01% 1 : 15515 99.81%
31 J2s JT762 flush 4 0.01% 1 : 15515 99.81%
32 95s T9765 flush 4 0.01% 1 : 15515 99.80%
33 94s T9764 flush 4 0.01% 1 : 15515 99.79%
34 93s T9763 flush 4 0.01% 1 : 15515 99.79%
35 92s T9762 flush 4 0.01% 1 : 15515 99.78%
36 85s T8765 flush 4 0.01% 1 : 15515 99.77%
37 84s T8764 flush 4 0.01% 1 : 15515 99.77%
38 83s T8763 flush 4 0.01% 1 : 15515 99.76%
39 82s T8762 flush 4 0.01% 1 : 15515 99.76%
40 54s T7654 flush 4 0.01% 1 : 15515 99.75%
41 53s T7653 flush 4 0.01% 1 : 15515 99.74%
42 52s T7652 flush 4 0.01% 1 : 15515 99.74%
43 43s T7643 flush 4 0.01% 1 : 15515 99.73%
44 42s T7642 flush 4 0.01% 1 : 15515 99.72%
45 32s T7632 flush 4 0.01% 1 : 15515 99.72%
 
46 98 T9876 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 TT TTT76 three of a kind 64 0.10% 1 : 969 98.07%
48 77 T7776 three of a kind 64 0.10% 1 : 969 97.96%
49 66 T7666 three of a kind 64 0.10% 1 : 969 97.86%
 
50 T7 TT776 two pairs 144 0.23% 1 : 430 97.76%
51 T6 TT766 two pairs 144 0.23% 1 : 430 97.53%
52 76 T7766 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAT76 one pair 384 0.62% 1 : 161 97.06%
54 KK KKT76 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQT76 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJT76 one pair 384 0.62% 1 : 161 95.20%
57 AT ATT76 one pair 384 0.62% 1 : 161 94.59%
58 KT KTT76 one pair 384 0.62% 1 : 161 93.97%
59 QT QTT76 one pair 384 0.62% 1 : 161 93.35%
60 JT JTT76 one pair 384 0.62% 1 : 161 92.73%
61 T9 TT976 one pair 384 0.62% 1 : 161 92.11%
62 T8 TT876 one pair 384 0.62% 1 : 161 91.49%
63 T5 TT765 one pair 384 0.62% 1 : 161 90.87%
64 T4 TT764 one pair 384 0.62% 1 : 161 90.26%
65 T3 TT763 one pair 384 0.62% 1 : 161 89.64%
66 T2 TT762 one pair 384 0.62% 1 : 161 89.02%
67 99 T9976 one pair 384 0.62% 1 : 161 88.40%
68 88 T8876 one pair 384 0.62% 1 : 161 87.78%
69 A7 AT776 one pair 384 0.62% 1 : 161 87.16%
70 K7 KT776 one pair 384 0.62% 1 : 161 86.54%
71 Q7 QT776 one pair 384 0.62% 1 : 161 85.92%
72 J7 JT776 one pair 384 0.62% 1 : 161 85.31%
73 97 T9776 one pair 384 0.62% 1 : 161 84.69%
74 87 T8776 one pair 384 0.62% 1 : 161 84.07%
75 75 T7765 one pair 384 0.62% 1 : 161 83.45%
76 74 T7764 one pair 384 0.62% 1 : 161 82.83%
77 73 T7763 one pair 384 0.62% 1 : 161 82.21%
78 72 T7762 one pair 384 0.62% 1 : 161 81.59%
79 A6 AT766 one pair 384 0.62% 1 : 161 80.97%
80 K6 KT766 one pair 384 0.62% 1 : 161 80.36%
81 Q6 QT766 one pair 384 0.62% 1 : 161 79.74%
82 J6 JT766 one pair 384 0.62% 1 : 161 79.12%
83 96 T9766 one pair 384 0.62% 1 : 161 78.50%
84 86 T8766 one pair 384 0.62% 1 : 161 77.88%
85 65 T7665 one pair 384 0.62% 1 : 161 77.26%
86 64 T7664 one pair 384 0.62% 1 : 161 76.64%
87 63 T7663 one pair 384 0.62% 1 : 161 76.02%
88 62 T7662 one pair 384 0.62% 1 : 161 75.41%
89 55 T7655 one pair 384 0.62% 1 : 161 74.79%
90 44 T7644 one pair 384 0.62% 1 : 161 74.17%
91 33 T7633 one pair 384 0.62% 1 : 161 73.55%
92 22 T7622 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKT76 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQT76 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJT76 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 AT976 high card 1,020 1.64% 1 : 59.8 67.38%
97 A8 AT876 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT765 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT764 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT763 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AT762 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQT76 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJT76 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 KT976 high card 1,020 1.64% 1 : 59.8 54.23%
105 K8 KT876 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT765 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT764 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT763 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KT762 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJT76 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 QT976 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q8 QT876 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT765 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT764 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT763 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QT762 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 JT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 J8 JT876 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT765 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT764 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT763 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 JT762 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 T9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 T9764 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9763 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9762 high card 1,020 1.64% 1 : 59.8 18.08%
127 85 T8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 T8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 T8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 T7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 T7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 T7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T7643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T7642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T7632 high card 1,020 1.64% 1 : 59.8 1.64%