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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 KQs AKQ97 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ97 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT97 flush 4 0.01% 1 : 15515 99.99%
4 K8s AK987 flush 4 0.01% 1 : 15515 99.98%
5 K6s AK976 flush 4 0.01% 1 : 15515 99.97%
6 K5s AK975 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK974 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK973 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK972 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ97 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT97 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQ987 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQ976 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQ975 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ974 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ973 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ972 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT97 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJ987 flush 4 0.01% 1 : 15515 99.88%
20 J6s AJ976 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJ975 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ974 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ973 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ972 flush 4 0.01% 1 : 15515 99.85%
25 T8s AT987 flush 4 0.01% 1 : 15515 99.85%
26 T6s AT976 flush 4 0.01% 1 : 15515 99.84%
27 T5s AT975 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT974 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT973 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT972 flush 4 0.01% 1 : 15515 99.81%
31 86s A9876 flush 4 0.01% 1 : 15515 99.81%
32 85s A9875 flush 4 0.01% 1 : 15515 99.80%
33 84s A9874 flush 4 0.01% 1 : 15515 99.79%
34 83s A9873 flush 4 0.01% 1 : 15515 99.79%
35 82s A9872 flush 4 0.01% 1 : 15515 99.78%
36 65s A9765 flush 4 0.01% 1 : 15515 99.77%
37 64s A9764 flush 4 0.01% 1 : 15515 99.77%
38 63s A9763 flush 4 0.01% 1 : 15515 99.76%
39 62s A9762 flush 4 0.01% 1 : 15515 99.76%
40 54s A9754 flush 4 0.01% 1 : 15515 99.75%
41 53s A9753 flush 4 0.01% 1 : 15515 99.74%
42 52s A9752 flush 4 0.01% 1 : 15515 99.74%
43 43s A9743 flush 4 0.01% 1 : 15515 99.73%
44 42s A9742 flush 4 0.01% 1 : 15515 99.72%
45 32s A9732 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA97 three of a kind 64 0.10% 1 : 969 99.71%
47 99 A9997 three of a kind 64 0.10% 1 : 969 99.61%
48 77 A9777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A9 AA997 two pairs 144 0.23% 1 : 430 99.40%
50 A7 AA977 two pairs 144 0.23% 1 : 430 99.17%
51 97 A9977 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK97 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ97 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ97 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT97 one pair 384 0.62% 1 : 161 96.85%
56 A8 AA987 one pair 384 0.62% 1 : 161 96.23%
57 A6 AA976 one pair 384 0.62% 1 : 161 95.61%
58 A5 AA975 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA974 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA973 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA972 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK97 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ97 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ97 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT97 one pair 384 0.62% 1 : 161 90.66%
66 K9 AK997 one pair 384 0.62% 1 : 161 90.04%
67 Q9 AQ997 one pair 384 0.62% 1 : 161 89.42%
68 J9 AJ997 one pair 384 0.62% 1 : 161 88.81%
69 T9 AT997 one pair 384 0.62% 1 : 161 88.19%
70 98 A9987 one pair 384 0.62% 1 : 161 87.57%
71 96 A9976 one pair 384 0.62% 1 : 161 86.95%
72 95 A9975 one pair 384 0.62% 1 : 161 86.33%
73 94 A9974 one pair 384 0.62% 1 : 161 85.71%
74 93 A9973 one pair 384 0.62% 1 : 161 85.09%
75 92 A9972 one pair 384 0.62% 1 : 161 84.47%
76 88 A9887 one pair 384 0.62% 1 : 161 83.86%
77 K7 AK977 one pair 384 0.62% 1 : 161 83.24%
78 Q7 AQ977 one pair 384 0.62% 1 : 161 82.62%
79 J7 AJ977 one pair 384 0.62% 1 : 161 82.00%
80 T7 AT977 one pair 384 0.62% 1 : 161 81.38%
81 87 A9877 one pair 384 0.62% 1 : 161 80.76%
82 76 A9776 one pair 384 0.62% 1 : 161 80.14%
83 75 A9775 one pair 384 0.62% 1 : 161 79.52%
84 74 A9774 one pair 384 0.62% 1 : 161 78.91%
85 73 A9773 one pair 384 0.62% 1 : 161 78.29%
86 72 A9772 one pair 384 0.62% 1 : 161 77.67%
87 66 A9766 one pair 384 0.62% 1 : 161 77.05%
88 55 A9755 one pair 384 0.62% 1 : 161 76.43%
89 44 A9744 one pair 384 0.62% 1 : 161 75.81%
90 33 A9733 one pair 384 0.62% 1 : 161 75.19%
91 22 A9722 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ97 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ97 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT97 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AK987 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AK976 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AK975 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK974 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK973 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK972 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ97 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT97 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQ987 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQ976 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQ975 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ974 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ973 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ972 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJ987 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 AJ976 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJ975 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ974 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ973 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ972 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 AT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 T6 AT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 AT975 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT974 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT973 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 A9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 A9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 A9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 A9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 A9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 A9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 A9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 A9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 A9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 A9754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 A9753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 A9752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A9743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A9742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A9732 high card 1,020 1.64% 1 : 59.8 1.64%