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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 T8s JT987 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKJ97 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQJ97 flush 4 0.01% 1 : 15515 99.99%
4 ATs AJT97 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ987 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ976 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ975 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ974 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJ973 flush 4 0.01% 1 : 15515 99.95%
10 A2s AJ972 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQJ97 flush 4 0.01% 1 : 15515 99.94%
12 KTs KJT97 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ987 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ976 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ975 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ974 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJ973 flush 4 0.01% 1 : 15515 99.90%
18 K2s KJ972 flush 4 0.01% 1 : 15515 99.89%
19 QTs QJT97 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ987 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ976 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ975 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ974 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ973 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QJ972 flush 4 0.01% 1 : 15515 99.85%
26 T6s JT976 flush 4 0.01% 1 : 15515 99.84%
27 T5s JT975 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT974 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT973 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT972 flush 4 0.01% 1 : 15515 99.81%
31 86s J9876 flush 4 0.01% 1 : 15515 99.81%
32 85s J9875 flush 4 0.01% 1 : 15515 99.80%
33 84s J9874 flush 4 0.01% 1 : 15515 99.79%
34 83s J9873 flush 4 0.01% 1 : 15515 99.79%
35 82s J9872 flush 4 0.01% 1 : 15515 99.78%
36 65s J9765 flush 4 0.01% 1 : 15515 99.77%
37 64s J9764 flush 4 0.01% 1 : 15515 99.77%
38 63s J9763 flush 4 0.01% 1 : 15515 99.76%
39 62s J9762 flush 4 0.01% 1 : 15515 99.76%
40 54s J9754 flush 4 0.01% 1 : 15515 99.75%
41 53s J9753 flush 4 0.01% 1 : 15515 99.74%
42 52s J9752 flush 4 0.01% 1 : 15515 99.74%
43 43s J9743 flush 4 0.01% 1 : 15515 99.73%
44 42s J9742 flush 4 0.01% 1 : 15515 99.72%
45 32s J9732 flush 4 0.01% 1 : 15515 99.72%
 
46 T8 JT987 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 JJ JJJ97 three of a kind 64 0.10% 1 : 969 98.07%
48 99 J9997 three of a kind 64 0.10% 1 : 969 97.96%
49 77 J9777 three of a kind 64 0.10% 1 : 969 97.86%
 
50 J9 JJ997 two pairs 144 0.23% 1 : 430 97.76%
51 J7 JJ977 two pairs 144 0.23% 1 : 430 97.53%
52 97 J9977 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAJ97 one pair 384 0.62% 1 : 161 97.06%
54 KK KKJ97 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQJ97 one pair 384 0.62% 1 : 161 95.82%
56 AJ AJJ97 one pair 384 0.62% 1 : 161 95.20%
57 KJ KJJ97 one pair 384 0.62% 1 : 161 94.59%
58 QJ QJJ97 one pair 384 0.62% 1 : 161 93.97%
59 JT JJT97 one pair 384 0.62% 1 : 161 93.35%
60 J8 JJ987 one pair 384 0.62% 1 : 161 92.73%
61 J6 JJ976 one pair 384 0.62% 1 : 161 92.11%
62 J5 JJ975 one pair 384 0.62% 1 : 161 91.49%
63 J4 JJ974 one pair 384 0.62% 1 : 161 90.87%
64 J3 JJ973 one pair 384 0.62% 1 : 161 90.26%
65 J2 JJ972 one pair 384 0.62% 1 : 161 89.64%
66 TT JTT97 one pair 384 0.62% 1 : 161 89.02%
67 A9 AJ997 one pair 384 0.62% 1 : 161 88.40%
68 K9 KJ997 one pair 384 0.62% 1 : 161 87.78%
69 Q9 QJ997 one pair 384 0.62% 1 : 161 87.16%
70 T9 JT997 one pair 384 0.62% 1 : 161 86.54%
71 98 J9987 one pair 384 0.62% 1 : 161 85.92%
72 96 J9976 one pair 384 0.62% 1 : 161 85.31%
73 95 J9975 one pair 384 0.62% 1 : 161 84.69%
74 94 J9974 one pair 384 0.62% 1 : 161 84.07%
75 93 J9973 one pair 384 0.62% 1 : 161 83.45%
76 92 J9972 one pair 384 0.62% 1 : 161 82.83%
77 88 J9887 one pair 384 0.62% 1 : 161 82.21%
78 A7 AJ977 one pair 384 0.62% 1 : 161 81.59%
79 K7 KJ977 one pair 384 0.62% 1 : 161 80.97%
80 Q7 QJ977 one pair 384 0.62% 1 : 161 80.36%
81 T7 JT977 one pair 384 0.62% 1 : 161 79.74%
82 87 J9877 one pair 384 0.62% 1 : 161 79.12%
83 76 J9776 one pair 384 0.62% 1 : 161 78.50%
84 75 J9775 one pair 384 0.62% 1 : 161 77.88%
85 74 J9774 one pair 384 0.62% 1 : 161 77.26%
86 73 J9773 one pair 384 0.62% 1 : 161 76.64%
87 72 J9772 one pair 384 0.62% 1 : 161 76.02%
88 66 J9766 one pair 384 0.62% 1 : 161 75.41%
89 55 J9755 one pair 384 0.62% 1 : 161 74.79%
90 44 J9744 one pair 384 0.62% 1 : 161 74.17%
91 33 J9733 one pair 384 0.62% 1 : 161 73.55%
92 22 J9722 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKJ97 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQJ97 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AJT97 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ987 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ976 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ975 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ974 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJ973 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AJ972 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQJ97 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KJT97 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ987 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ976 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ975 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ974 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJ973 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KJ972 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ987 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ976 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ975 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ974 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ973 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QJ972 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 JT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 JT975 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT974 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT973 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 J9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 J9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 J9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 J9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 J9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 J9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 J9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 J9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 J9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 J9754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 J9753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 J9752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J9743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J9742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J9732 high card 1,020 1.64% 1 : 59.8 1.64%