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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 AQs AKQ53 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ53 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT53 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK953 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK853 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK753 flush 4 0.01% 1 : 15515 99.97%
7 A6s AK653 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK532 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ53 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT53 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ953 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ853 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ753 flush 4 0.01% 1 : 15515 99.92%
15 Q6s KQ653 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ543 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ532 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT53 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ953 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ853 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ753 flush 4 0.01% 1 : 15515 99.87%
22 J6s KJ653 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ543 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ532 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT953 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT853 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT753 flush 4 0.01% 1 : 15515 99.83%
28 T6s KT653 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT532 flush 4 0.01% 1 : 15515 99.81%
31 98s K9853 flush 4 0.01% 1 : 15515 99.81%
32 97s K9753 flush 4 0.01% 1 : 15515 99.80%
33 96s K9653 flush 4 0.01% 1 : 15515 99.79%
34 94s K9543 flush 4 0.01% 1 : 15515 99.79%
35 92s K9532 flush 4 0.01% 1 : 15515 99.78%
36 87s K8753 flush 4 0.01% 1 : 15515 99.77%
37 86s K8653 flush 4 0.01% 1 : 15515 99.77%
38 84s K8543 flush 4 0.01% 1 : 15515 99.76%
39 82s K8532 flush 4 0.01% 1 : 15515 99.76%
40 76s K7653 flush 4 0.01% 1 : 15515 99.75%
41 74s K7543 flush 4 0.01% 1 : 15515 99.74%
42 72s K7532 flush 4 0.01% 1 : 15515 99.74%
43 64s K6543 flush 4 0.01% 1 : 15515 99.73%
44 62s K6532 flush 4 0.01% 1 : 15515 99.72%
45 42s K5432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK53 three of a kind 64 0.10% 1 : 969 99.71%
47 55 K5553 three of a kind 64 0.10% 1 : 969 99.61%
48 33 K5333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K5 KK553 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KK533 two pairs 144 0.23% 1 : 430 99.17%
51 53 K5533 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK53 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK53 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ53 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ53 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT53 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK953 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK853 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK753 one pair 384 0.62% 1 : 161 94.37%
60 K6 KK653 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK543 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK532 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ53 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ53 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT53 one pair 384 0.62% 1 : 161 90.66%
66 99 K9953 one pair 384 0.62% 1 : 161 90.04%
67 88 K8853 one pair 384 0.62% 1 : 161 89.42%
68 77 K7753 one pair 384 0.62% 1 : 161 88.81%
69 66 K6653 one pair 384 0.62% 1 : 161 88.19%
70 A5 AK553 one pair 384 0.62% 1 : 161 87.57%
71 Q5 KQ553 one pair 384 0.62% 1 : 161 86.95%
72 J5 KJ553 one pair 384 0.62% 1 : 161 86.33%
73 T5 KT553 one pair 384 0.62% 1 : 161 85.71%
74 95 K9553 one pair 384 0.62% 1 : 161 85.09%
75 85 K8553 one pair 384 0.62% 1 : 161 84.47%
76 75 K7553 one pair 384 0.62% 1 : 161 83.86%
77 65 K6553 one pair 384 0.62% 1 : 161 83.24%
78 54 K5543 one pair 384 0.62% 1 : 161 82.62%
79 52 K5532 one pair 384 0.62% 1 : 161 82.00%
80 44 K5443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AK533 one pair 384 0.62% 1 : 161 80.76%
82 Q3 KQ533 one pair 384 0.62% 1 : 161 80.14%
83 J3 KJ533 one pair 384 0.62% 1 : 161 79.52%
84 T3 KT533 one pair 384 0.62% 1 : 161 78.91%
85 93 K9533 one pair 384 0.62% 1 : 161 78.29%
86 83 K8533 one pair 384 0.62% 1 : 161 77.67%
87 73 K7533 one pair 384 0.62% 1 : 161 77.05%
88 63 K6533 one pair 384 0.62% 1 : 161 76.43%
89 43 K5433 one pair 384 0.62% 1 : 161 75.81%
90 32 K5332 one pair 384 0.62% 1 : 161 75.19%
91 22 K5322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ53 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ53 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT53 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK953 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK853 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK753 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AK653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK532 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ53 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT53 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ953 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ853 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ753 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q6 KQ653 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ532 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT53 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ953 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ853 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ753 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 KJ653 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ532 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT953 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT853 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT753 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 KT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9853 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9753 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 K9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 K9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8753 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 K8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 K8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 K7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 K7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 K7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 K6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 K6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 K5432 high card 1,020 1.64% 1 : 59.8 1.64%