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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 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 J9s JT987 straight flush 4 0.01% 1 : 15515 100.00%
2 96s T9876 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AKT87 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQT87 flush 4 0.01% 1 : 15515 99.98%
5 AJs AJT87 flush 4 0.01% 1 : 15515 99.97%
6 A9s AT987 flush 4 0.01% 1 : 15515 99.97%
7 A6s AT876 flush 4 0.01% 1 : 15515 99.96%
8 A5s AT875 flush 4 0.01% 1 : 15515 99.95%
9 A4s AT874 flush 4 0.01% 1 : 15515 99.95%
10 A3s AT873 flush 4 0.01% 1 : 15515 99.94%
11 A2s AT872 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQT87 flush 4 0.01% 1 : 15515 99.93%
13 KJs KJT87 flush 4 0.01% 1 : 15515 99.92%
14 K9s KT987 flush 4 0.01% 1 : 15515 99.92%
15 K6s KT876 flush 4 0.01% 1 : 15515 99.91%
16 K5s KT875 flush 4 0.01% 1 : 15515 99.90%
17 K4s KT874 flush 4 0.01% 1 : 15515 99.90%
18 K3s KT873 flush 4 0.01% 1 : 15515 99.89%
19 K2s KT872 flush 4 0.01% 1 : 15515 99.88%
20 QJs QJT87 flush 4 0.01% 1 : 15515 99.88%
21 Q9s QT987 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT876 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QT875 flush 4 0.01% 1 : 15515 99.86%
24 Q4s QT874 flush 4 0.01% 1 : 15515 99.85%
25 Q3s QT873 flush 4 0.01% 1 : 15515 99.85%
26 Q2s QT872 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT876 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT875 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT874 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT873 flush 4 0.01% 1 : 15515 99.81%
31 J2s JT872 flush 4 0.01% 1 : 15515 99.81%
32 95s T9875 flush 4 0.01% 1 : 15515 99.80%
33 94s T9874 flush 4 0.01% 1 : 15515 99.79%
34 93s T9873 flush 4 0.01% 1 : 15515 99.79%
35 92s T9872 flush 4 0.01% 1 : 15515 99.78%
36 65s T8765 flush 4 0.01% 1 : 15515 99.77%
37 64s T8764 flush 4 0.01% 1 : 15515 99.77%
38 63s T8763 flush 4 0.01% 1 : 15515 99.76%
39 62s T8762 flush 4 0.01% 1 : 15515 99.76%
40 54s T8754 flush 4 0.01% 1 : 15515 99.75%
41 53s T8753 flush 4 0.01% 1 : 15515 99.74%
42 52s T8752 flush 4 0.01% 1 : 15515 99.74%
43 43s T8743 flush 4 0.01% 1 : 15515 99.73%
44 42s T8742 flush 4 0.01% 1 : 15515 99.72%
45 32s T8732 flush 4 0.01% 1 : 15515 99.72%
 
46 J9 JT987 straight 1,020 1.64% 1 : 59.8 99.71%
47 96 T9876 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 TT TTT87 three of a kind 64 0.10% 1 : 969 96.42%
49 88 T8887 three of a kind 64 0.10% 1 : 969 96.32%
50 77 T8777 three of a kind 64 0.10% 1 : 969 96.22%
 
51 T8 TT887 two pairs 144 0.23% 1 : 430 96.11%
52 T7 TT877 two pairs 144 0.23% 1 : 430 95.88%
53 87 T8877 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAT87 one pair 384 0.62% 1 : 161 95.42%
55 KK KKT87 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQT87 one pair 384 0.62% 1 : 161 94.18%
57 JJ JJT87 one pair 384 0.62% 1 : 161 93.56%
58 AT ATT87 one pair 384 0.62% 1 : 161 92.94%
59 KT KTT87 one pair 384 0.62% 1 : 161 92.32%
60 QT QTT87 one pair 384 0.62% 1 : 161 91.71%
61 JT JTT87 one pair 384 0.62% 1 : 161 91.09%
62 T9 TT987 one pair 384 0.62% 1 : 161 90.47%
63 T6 TT876 one pair 384 0.62% 1 : 161 89.85%
64 T5 TT875 one pair 384 0.62% 1 : 161 89.23%
65 T4 TT874 one pair 384 0.62% 1 : 161 88.61%
66 T3 TT873 one pair 384 0.62% 1 : 161 87.99%
67 T2 TT872 one pair 384 0.62% 1 : 161 87.37%
68 99 T9987 one pair 384 0.62% 1 : 161 86.76%
69 A8 AT887 one pair 384 0.62% 1 : 161 86.14%
70 K8 KT887 one pair 384 0.62% 1 : 161 85.52%
71 Q8 QT887 one pair 384 0.62% 1 : 161 84.90%
72 J8 JT887 one pair 384 0.62% 1 : 161 84.28%
73 98 T9887 one pair 384 0.62% 1 : 161 83.66%
74 86 T8876 one pair 384 0.62% 1 : 161 83.04%
75 85 T8875 one pair 384 0.62% 1 : 161 82.42%
76 84 T8874 one pair 384 0.62% 1 : 161 81.81%
77 83 T8873 one pair 384 0.62% 1 : 161 81.19%
78 82 T8872 one pair 384 0.62% 1 : 161 80.57%
79 A7 AT877 one pair 384 0.62% 1 : 161 79.95%
80 K7 KT877 one pair 384 0.62% 1 : 161 79.33%
81 Q7 QT877 one pair 384 0.62% 1 : 161 78.71%
82 J7 JT877 one pair 384 0.62% 1 : 161 78.09%
83 97 T9877 one pair 384 0.62% 1 : 161 77.47%
84 76 T8776 one pair 384 0.62% 1 : 161 76.86%
85 75 T8775 one pair 384 0.62% 1 : 161 76.24%
86 74 T8774 one pair 384 0.62% 1 : 161 75.62%
87 73 T8773 one pair 384 0.62% 1 : 161 75.00%
88 72 T8772 one pair 384 0.62% 1 : 161 74.38%
89 66 T8766 one pair 384 0.62% 1 : 161 73.76%
90 55 T8755 one pair 384 0.62% 1 : 161 73.14%
91 44 T8744 one pair 384 0.62% 1 : 161 72.53%
92 33 T8733 one pair 384 0.62% 1 : 161 71.91%
93 22 T8722 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AKT87 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQT87 high card 1,020 1.64% 1 : 59.8 69.03%
96 AJ AJT87 high card 1,020 1.64% 1 : 59.8 67.38%
97 A9 AT987 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AT876 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AT875 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AT874 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 AT873 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 AT872 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQT87 high card 1,020 1.64% 1 : 59.8 55.88%
104 KJ KJT87 high card 1,020 1.64% 1 : 59.8 54.23%
105 K9 KT987 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KT876 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KT875 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 KT874 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 KT873 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 KT872 high card 1,020 1.64% 1 : 59.8 44.37%
111 QJ QJT87 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q9 QT987 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT876 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QT875 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 QT874 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 QT873 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 QT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT876 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT875 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT874 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT873 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 JT872 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 T9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 T9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 T8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 T8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 T8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 T8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 T8754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 T8753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 T8752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T8743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T8742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T8732 high card 1,020 1.64% 1 : 59.8 1.64%