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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 T9s JT987 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKJ87 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQJ87 flush 4 0.01% 1 : 15515 99.99%
4 ATs AJT87 flush 4 0.01% 1 : 15515 99.98%
5 A9s AJ987 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ876 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ875 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ874 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJ873 flush 4 0.01% 1 : 15515 99.95%
10 A2s AJ872 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQJ87 flush 4 0.01% 1 : 15515 99.94%
12 KTs KJT87 flush 4 0.01% 1 : 15515 99.93%
13 K9s KJ987 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ876 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ875 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ874 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJ873 flush 4 0.01% 1 : 15515 99.90%
18 K2s KJ872 flush 4 0.01% 1 : 15515 99.89%
19 QTs QJT87 flush 4 0.01% 1 : 15515 99.88%
20 Q9s QJ987 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ876 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ875 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ874 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ873 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QJ872 flush 4 0.01% 1 : 15515 99.85%
26 T6s JT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s JT875 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT874 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT873 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT872 flush 4 0.01% 1 : 15515 99.81%
31 96s J9876 flush 4 0.01% 1 : 15515 99.81%
32 95s J9875 flush 4 0.01% 1 : 15515 99.80%
33 94s J9874 flush 4 0.01% 1 : 15515 99.79%
34 93s J9873 flush 4 0.01% 1 : 15515 99.79%
35 92s J9872 flush 4 0.01% 1 : 15515 99.78%
36 65s J8765 flush 4 0.01% 1 : 15515 99.77%
37 64s J8764 flush 4 0.01% 1 : 15515 99.77%
38 63s J8763 flush 4 0.01% 1 : 15515 99.76%
39 62s J8762 flush 4 0.01% 1 : 15515 99.76%
40 54s J8754 flush 4 0.01% 1 : 15515 99.75%
41 53s J8753 flush 4 0.01% 1 : 15515 99.74%
42 52s J8752 flush 4 0.01% 1 : 15515 99.74%
43 43s J8743 flush 4 0.01% 1 : 15515 99.73%
44 42s J8742 flush 4 0.01% 1 : 15515 99.72%
45 32s J8732 flush 4 0.01% 1 : 15515 99.72%
 
46 T9 JT987 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 JJ JJJ87 three of a kind 64 0.10% 1 : 969 98.07%
48 88 J8887 three of a kind 64 0.10% 1 : 969 97.96%
49 77 J8777 three of a kind 64 0.10% 1 : 969 97.86%
 
50 J8 JJ887 two pairs 144 0.23% 1 : 430 97.76%
51 J7 JJ877 two pairs 144 0.23% 1 : 430 97.53%
52 87 J8877 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAJ87 one pair 384 0.62% 1 : 161 97.06%
54 KK KKJ87 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQJ87 one pair 384 0.62% 1 : 161 95.82%
56 AJ AJJ87 one pair 384 0.62% 1 : 161 95.20%
57 KJ KJJ87 one pair 384 0.62% 1 : 161 94.59%
58 QJ QJJ87 one pair 384 0.62% 1 : 161 93.97%
59 JT JJT87 one pair 384 0.62% 1 : 161 93.35%
60 J9 JJ987 one pair 384 0.62% 1 : 161 92.73%
61 J6 JJ876 one pair 384 0.62% 1 : 161 92.11%
62 J5 JJ875 one pair 384 0.62% 1 : 161 91.49%
63 J4 JJ874 one pair 384 0.62% 1 : 161 90.87%
64 J3 JJ873 one pair 384 0.62% 1 : 161 90.26%
65 J2 JJ872 one pair 384 0.62% 1 : 161 89.64%
66 TT JTT87 one pair 384 0.62% 1 : 161 89.02%
67 99 J9987 one pair 384 0.62% 1 : 161 88.40%
68 A8 AJ887 one pair 384 0.62% 1 : 161 87.78%
69 K8 KJ887 one pair 384 0.62% 1 : 161 87.16%
70 Q8 QJ887 one pair 384 0.62% 1 : 161 86.54%
71 T8 JT887 one pair 384 0.62% 1 : 161 85.92%
72 98 J9887 one pair 384 0.62% 1 : 161 85.31%
73 86 J8876 one pair 384 0.62% 1 : 161 84.69%
74 85 J8875 one pair 384 0.62% 1 : 161 84.07%
75 84 J8874 one pair 384 0.62% 1 : 161 83.45%
76 83 J8873 one pair 384 0.62% 1 : 161 82.83%
77 82 J8872 one pair 384 0.62% 1 : 161 82.21%
78 A7 AJ877 one pair 384 0.62% 1 : 161 81.59%
79 K7 KJ877 one pair 384 0.62% 1 : 161 80.97%
80 Q7 QJ877 one pair 384 0.62% 1 : 161 80.36%
81 T7 JT877 one pair 384 0.62% 1 : 161 79.74%
82 97 J9877 one pair 384 0.62% 1 : 161 79.12%
83 76 J8776 one pair 384 0.62% 1 : 161 78.50%
84 75 J8775 one pair 384 0.62% 1 : 161 77.88%
85 74 J8774 one pair 384 0.62% 1 : 161 77.26%
86 73 J8773 one pair 384 0.62% 1 : 161 76.64%
87 72 J8772 one pair 384 0.62% 1 : 161 76.02%
88 66 J8766 one pair 384 0.62% 1 : 161 75.41%
89 55 J8755 one pair 384 0.62% 1 : 161 74.79%
90 44 J8744 one pair 384 0.62% 1 : 161 74.17%
91 33 J8733 one pair 384 0.62% 1 : 161 73.55%
92 22 J8722 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKJ87 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQJ87 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AJT87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 AJ987 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ876 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ875 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ874 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJ873 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AJ872 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQJ87 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KJT87 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 KJ987 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ876 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ875 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ874 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJ873 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KJ872 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 QJ987 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ876 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ875 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ874 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ873 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QJ872 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 JT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 JT875 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT874 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT873 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT872 high card 1,020 1.64% 1 : 59.8 26.30%
122 96 J9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 J9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 J9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 J8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 J8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 J8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 J8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 J8754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 J8753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 J8752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J8743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J8742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J8732 high card 1,020 1.64% 1 : 59.8 1.64%