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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 AKQ53 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ53 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT53 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ953 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ853 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQ753 flush 4 0.01% 1 : 15515 99.97%
7 A6s AQ653 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ532 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ53 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT53 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ953 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ853 flush 4 0.01% 1 : 15515 99.92%
14 K7s KQ753 flush 4 0.01% 1 : 15515 99.92%
15 K6s KQ653 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ532 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT53 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ953 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ853 flush 4 0.01% 1 : 15515 99.88%
21 J7s QJ753 flush 4 0.01% 1 : 15515 99.87%
22 J6s QJ653 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ543 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ532 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT953 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT853 flush 4 0.01% 1 : 15515 99.84%
27 T7s QT753 flush 4 0.01% 1 : 15515 99.83%
28 T6s QT653 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT532 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9853 flush 4 0.01% 1 : 15515 99.81%
32 97s Q9753 flush 4 0.01% 1 : 15515 99.80%
33 96s Q9653 flush 4 0.01% 1 : 15515 99.79%
34 94s Q9543 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9532 flush 4 0.01% 1 : 15515 99.78%
36 87s Q8753 flush 4 0.01% 1 : 15515 99.77%
37 86s Q8653 flush 4 0.01% 1 : 15515 99.77%
38 84s Q8543 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8532 flush 4 0.01% 1 : 15515 99.76%
40 76s Q7653 flush 4 0.01% 1 : 15515 99.75%
41 74s Q7543 flush 4 0.01% 1 : 15515 99.74%
42 72s Q7532 flush 4 0.01% 1 : 15515 99.74%
43 64s Q6543 flush 4 0.01% 1 : 15515 99.73%
44 62s Q6532 flush 4 0.01% 1 : 15515 99.72%
45 42s Q5432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ53 three of a kind 64 0.10% 1 : 969 99.71%
47 55 Q5553 three of a kind 64 0.10% 1 : 969 99.61%
48 33 Q5333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q5 QQ553 two pairs 144 0.23% 1 : 430 99.40%
50 Q3 QQ533 two pairs 144 0.23% 1 : 430 99.17%
51 53 Q5533 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ53 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ53 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ53 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ53 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ53 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT53 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ953 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ853 one pair 384 0.62% 1 : 161 94.37%
60 Q7 QQ753 one pair 384 0.62% 1 : 161 93.75%
61 Q6 QQ653 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ543 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ532 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ53 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT53 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9953 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8853 one pair 384 0.62% 1 : 161 89.42%
68 77 Q7753 one pair 384 0.62% 1 : 161 88.81%
69 66 Q6653 one pair 384 0.62% 1 : 161 88.19%
70 A5 AQ553 one pair 384 0.62% 1 : 161 87.57%
71 K5 KQ553 one pair 384 0.62% 1 : 161 86.95%
72 J5 QJ553 one pair 384 0.62% 1 : 161 86.33%
73 T5 QT553 one pair 384 0.62% 1 : 161 85.71%
74 95 Q9553 one pair 384 0.62% 1 : 161 85.09%
75 85 Q8553 one pair 384 0.62% 1 : 161 84.47%
76 75 Q7553 one pair 384 0.62% 1 : 161 83.86%
77 65 Q6553 one pair 384 0.62% 1 : 161 83.24%
78 54 Q5543 one pair 384 0.62% 1 : 161 82.62%
79 52 Q5532 one pair 384 0.62% 1 : 161 82.00%
80 44 Q5443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AQ533 one pair 384 0.62% 1 : 161 80.76%
82 K3 KQ533 one pair 384 0.62% 1 : 161 80.14%
83 J3 QJ533 one pair 384 0.62% 1 : 161 79.52%
84 T3 QT533 one pair 384 0.62% 1 : 161 78.91%
85 93 Q9533 one pair 384 0.62% 1 : 161 78.29%
86 83 Q8533 one pair 384 0.62% 1 : 161 77.67%
87 73 Q7533 one pair 384 0.62% 1 : 161 77.05%
88 63 Q6533 one pair 384 0.62% 1 : 161 76.43%
89 43 Q5433 one pair 384 0.62% 1 : 161 75.81%
90 32 Q5332 one pair 384 0.62% 1 : 161 75.19%
91 22 Q5322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ53 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ53 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT53 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ953 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ853 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQ753 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AQ653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ53 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT53 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ953 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ853 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KQ753 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KQ653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ532 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT53 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ953 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ853 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 QJ753 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 QJ653 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ532 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT953 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT853 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 QT753 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 QT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9853 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 Q9753 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 Q9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 Q9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 Q8753 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 Q8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 Q8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 Q7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 Q7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 Q7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 Q6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 Q6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 Q5432 high card 1,020 1.64% 1 : 59.8 1.64%