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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 AK853 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ853 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ853 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT853 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9853 flush 4 0.01% 1 : 15515 99.97%
6 A7s A8753 flush 4 0.01% 1 : 15515 99.97%
7 A6s A8653 flush 4 0.01% 1 : 15515 99.96%
8 A4s A8543 flush 4 0.01% 1 : 15515 99.95%
9 A2s A8532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ853 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ853 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT853 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9853 flush 4 0.01% 1 : 15515 99.92%
14 K7s K8753 flush 4 0.01% 1 : 15515 99.92%
15 K6s K8653 flush 4 0.01% 1 : 15515 99.91%
16 K4s K8543 flush 4 0.01% 1 : 15515 99.90%
17 K2s K8532 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ853 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT853 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9853 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q8753 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q8653 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q8543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q8532 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT853 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9853 flush 4 0.01% 1 : 15515 99.84%
27 J7s J8753 flush 4 0.01% 1 : 15515 99.83%
28 J6s J8653 flush 4 0.01% 1 : 15515 99.83%
29 J4s J8543 flush 4 0.01% 1 : 15515 99.82%
30 J2s J8532 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9853 flush 4 0.01% 1 : 15515 99.81%
32 T7s T8753 flush 4 0.01% 1 : 15515 99.80%
33 T6s T8653 flush 4 0.01% 1 : 15515 99.79%
34 T4s T8543 flush 4 0.01% 1 : 15515 99.79%
35 T2s T8532 flush 4 0.01% 1 : 15515 99.78%
36 97s 98753 flush 4 0.01% 1 : 15515 99.77%
37 96s 98653 flush 4 0.01% 1 : 15515 99.77%
38 94s 98543 flush 4 0.01% 1 : 15515 99.76%
39 92s 98532 flush 4 0.01% 1 : 15515 99.76%
40 76s 87653 flush 4 0.01% 1 : 15515 99.75%
41 74s 87543 flush 4 0.01% 1 : 15515 99.74%
42 72s 87532 flush 4 0.01% 1 : 15515 99.74%
43 64s 86543 flush 4 0.01% 1 : 15515 99.73%
44 62s 86532 flush 4 0.01% 1 : 15515 99.72%
45 42s 85432 flush 4 0.01% 1 : 15515 99.72%
 
46 88 88853 three of a kind 64 0.10% 1 : 969 99.71%
47 55 85553 three of a kind 64 0.10% 1 : 969 99.61%
48 33 85333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 85 88553 two pairs 144 0.23% 1 : 430 99.40%
50 83 88533 two pairs 144 0.23% 1 : 430 99.17%
51 53 85533 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA853 one pair 384 0.62% 1 : 161 98.70%
53 KK KK853 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ853 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ853 one pair 384 0.62% 1 : 161 96.85%
56 TT TT853 one pair 384 0.62% 1 : 161 96.23%
57 99 99853 one pair 384 0.62% 1 : 161 95.61%
58 A8 A8853 one pair 384 0.62% 1 : 161 94.99%
59 K8 K8853 one pair 384 0.62% 1 : 161 94.37%
60 Q8 Q8853 one pair 384 0.62% 1 : 161 93.75%
61 J8 J8853 one pair 384 0.62% 1 : 161 93.14%
62 T8 T8853 one pair 384 0.62% 1 : 161 92.52%
63 98 98853 one pair 384 0.62% 1 : 161 91.90%
64 87 88753 one pair 384 0.62% 1 : 161 91.28%
65 86 88653 one pair 384 0.62% 1 : 161 90.66%
66 84 88543 one pair 384 0.62% 1 : 161 90.04%
67 82 88532 one pair 384 0.62% 1 : 161 89.42%
68 77 87753 one pair 384 0.62% 1 : 161 88.81%
69 66 86653 one pair 384 0.62% 1 : 161 88.19%
70 A5 A8553 one pair 384 0.62% 1 : 161 87.57%
71 K5 K8553 one pair 384 0.62% 1 : 161 86.95%
72 Q5 Q8553 one pair 384 0.62% 1 : 161 86.33%
73 J5 J8553 one pair 384 0.62% 1 : 161 85.71%
74 T5 T8553 one pair 384 0.62% 1 : 161 85.09%
75 95 98553 one pair 384 0.62% 1 : 161 84.47%
76 75 87553 one pair 384 0.62% 1 : 161 83.86%
77 65 86553 one pair 384 0.62% 1 : 161 83.24%
78 54 85543 one pair 384 0.62% 1 : 161 82.62%
79 52 85532 one pair 384 0.62% 1 : 161 82.00%
80 44 85443 one pair 384 0.62% 1 : 161 81.38%
81 A3 A8533 one pair 384 0.62% 1 : 161 80.76%
82 K3 K8533 one pair 384 0.62% 1 : 161 80.14%
83 Q3 Q8533 one pair 384 0.62% 1 : 161 79.52%
84 J3 J8533 one pair 384 0.62% 1 : 161 78.91%
85 T3 T8533 one pair 384 0.62% 1 : 161 78.29%
86 93 98533 one pair 384 0.62% 1 : 161 77.67%
87 73 87533 one pair 384 0.62% 1 : 161 77.05%
88 63 86533 one pair 384 0.62% 1 : 161 76.43%
89 43 85433 one pair 384 0.62% 1 : 161 75.81%
90 32 85332 one pair 384 0.62% 1 : 161 75.19%
91 22 85322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK853 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ853 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ853 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT853 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9853 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A8753 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A8653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A8543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A8532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ853 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ853 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT853 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9853 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K8753 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K8653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K8543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K8532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ853 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT853 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9853 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q8753 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q8653 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q8543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q8532 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT853 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9853 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J8753 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J8653 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J8543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J8532 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9853 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T8753 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T8653 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T8543 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T8532 high card 1,020 1.64% 1 : 59.8 18.08%
127 97 98753 high card 1,020 1.64% 1 : 59.8 16.43%
128 96 98653 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 98543 high card 1,020 1.64% 1 : 59.8 13.15%
130 92 98532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 87653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 87543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 87532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 86543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 86532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 85432 high card 1,020 1.64% 1 : 59.8 1.64%