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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 AKs AK973 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ973 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ973 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT973 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9873 flush 4 0.01% 1 : 15515 99.97%
6 A6s A9763 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9753 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9743 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9732 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ973 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ973 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT973 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9873 flush 4 0.01% 1 : 15515 99.92%
14 K6s K9763 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9753 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9743 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9732 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ973 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT973 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9873 flush 4 0.01% 1 : 15515 99.88%
21 Q6s Q9763 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9753 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9743 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9732 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT973 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9873 flush 4 0.01% 1 : 15515 99.84%
27 J6s J9763 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9753 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9743 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9732 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9873 flush 4 0.01% 1 : 15515 99.81%
32 T6s T9763 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9753 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9743 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9732 flush 4 0.01% 1 : 15515 99.78%
36 86s 98763 flush 4 0.01% 1 : 15515 99.77%
37 85s 98753 flush 4 0.01% 1 : 15515 99.77%
38 84s 98743 flush 4 0.01% 1 : 15515 99.76%
39 82s 98732 flush 4 0.01% 1 : 15515 99.76%
40 65s 97653 flush 4 0.01% 1 : 15515 99.75%
41 64s 97643 flush 4 0.01% 1 : 15515 99.74%
42 62s 97632 flush 4 0.01% 1 : 15515 99.74%
43 54s 97543 flush 4 0.01% 1 : 15515 99.73%
44 52s 97532 flush 4 0.01% 1 : 15515 99.72%
45 42s 97432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99973 three of a kind 64 0.10% 1 : 969 99.71%
47 77 97773 three of a kind 64 0.10% 1 : 969 99.61%
48 33 97333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 97 99773 two pairs 144 0.23% 1 : 430 99.40%
50 93 99733 two pairs 144 0.23% 1 : 430 99.17%
51 73 97733 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA973 one pair 384 0.62% 1 : 161 98.70%
53 KK KK973 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ973 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ973 one pair 384 0.62% 1 : 161 96.85%
56 TT TT973 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9973 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9973 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9973 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9973 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9973 one pair 384 0.62% 1 : 161 93.14%
62 98 99873 one pair 384 0.62% 1 : 161 92.52%
63 96 99763 one pair 384 0.62% 1 : 161 91.90%
64 95 99753 one pair 384 0.62% 1 : 161 91.28%
65 94 99743 one pair 384 0.62% 1 : 161 90.66%
66 92 99732 one pair 384 0.62% 1 : 161 90.04%
67 88 98873 one pair 384 0.62% 1 : 161 89.42%
68 A7 A9773 one pair 384 0.62% 1 : 161 88.81%
69 K7 K9773 one pair 384 0.62% 1 : 161 88.19%
70 Q7 Q9773 one pair 384 0.62% 1 : 161 87.57%
71 J7 J9773 one pair 384 0.62% 1 : 161 86.95%
72 T7 T9773 one pair 384 0.62% 1 : 161 86.33%
73 87 98773 one pair 384 0.62% 1 : 161 85.71%
74 76 97763 one pair 384 0.62% 1 : 161 85.09%
75 75 97753 one pair 384 0.62% 1 : 161 84.47%
76 74 97743 one pair 384 0.62% 1 : 161 83.86%
77 72 97732 one pair 384 0.62% 1 : 161 83.24%
78 66 97663 one pair 384 0.62% 1 : 161 82.62%
79 55 97553 one pair 384 0.62% 1 : 161 82.00%
80 44 97443 one pair 384 0.62% 1 : 161 81.38%
81 A3 A9733 one pair 384 0.62% 1 : 161 80.76%
82 K3 K9733 one pair 384 0.62% 1 : 161 80.14%
83 Q3 Q9733 one pair 384 0.62% 1 : 161 79.52%
84 J3 J9733 one pair 384 0.62% 1 : 161 78.91%
85 T3 T9733 one pair 384 0.62% 1 : 161 78.29%
86 83 98733 one pair 384 0.62% 1 : 161 77.67%
87 63 97633 one pair 384 0.62% 1 : 161 77.05%
88 53 97533 one pair 384 0.62% 1 : 161 76.43%
89 43 97433 one pair 384 0.62% 1 : 161 75.81%
90 32 97332 one pair 384 0.62% 1 : 161 75.19%
91 22 97322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK973 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ973 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ973 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT973 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 A9763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9753 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ973 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ973 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT973 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 K9763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9753 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9732 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ973 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT973 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9873 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 Q9763 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9753 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9743 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9732 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT973 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9873 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 J9763 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9753 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9743 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9732 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 T6 T9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9753 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 98763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 98753 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 98743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 98732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 97653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 97643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 97632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 97543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 97532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 97432 high card 1,020 1.64% 1 : 59.8 1.64%