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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 AKQ43 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ43 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT43 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK943 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK843 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK743 flush 4 0.01% 1 : 15515 99.97%
7 A6s AK643 flush 4 0.01% 1 : 15515 99.96%
8 A5s AK543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK432 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ43 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT43 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ943 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ843 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ743 flush 4 0.01% 1 : 15515 99.92%
15 Q6s KQ643 flush 4 0.01% 1 : 15515 99.91%
16 Q5s KQ543 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ432 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT43 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ943 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ843 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ743 flush 4 0.01% 1 : 15515 99.87%
22 J6s KJ643 flush 4 0.01% 1 : 15515 99.86%
23 J5s KJ543 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ432 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT943 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT843 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT743 flush 4 0.01% 1 : 15515 99.83%
28 T6s KT643 flush 4 0.01% 1 : 15515 99.83%
29 T5s KT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT432 flush 4 0.01% 1 : 15515 99.81%
31 98s K9843 flush 4 0.01% 1 : 15515 99.81%
32 97s K9743 flush 4 0.01% 1 : 15515 99.80%
33 96s K9643 flush 4 0.01% 1 : 15515 99.79%
34 95s K9543 flush 4 0.01% 1 : 15515 99.79%
35 92s K9432 flush 4 0.01% 1 : 15515 99.78%
36 87s K8743 flush 4 0.01% 1 : 15515 99.77%
37 86s K8643 flush 4 0.01% 1 : 15515 99.77%
38 85s K8543 flush 4 0.01% 1 : 15515 99.76%
39 82s K8432 flush 4 0.01% 1 : 15515 99.76%
40 76s K7643 flush 4 0.01% 1 : 15515 99.75%
41 75s K7543 flush 4 0.01% 1 : 15515 99.74%
42 72s K7432 flush 4 0.01% 1 : 15515 99.74%
43 65s K6543 flush 4 0.01% 1 : 15515 99.73%
44 62s K6432 flush 4 0.01% 1 : 15515 99.72%
45 52s K5432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK43 three of a kind 64 0.10% 1 : 969 99.71%
47 44 K4443 three of a kind 64 0.10% 1 : 969 99.61%
48 33 K4333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K4 KK443 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KK433 two pairs 144 0.23% 1 : 430 99.17%
51 43 K4433 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK43 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK43 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ43 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ43 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT43 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK943 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK843 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK743 one pair 384 0.62% 1 : 161 94.37%
60 K6 KK643 one pair 384 0.62% 1 : 161 93.75%
61 K5 KK543 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK432 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ43 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ43 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT43 one pair 384 0.62% 1 : 161 90.66%
66 99 K9943 one pair 384 0.62% 1 : 161 90.04%
67 88 K8843 one pair 384 0.62% 1 : 161 89.42%
68 77 K7743 one pair 384 0.62% 1 : 161 88.81%
69 66 K6643 one pair 384 0.62% 1 : 161 88.19%
70 55 K5543 one pair 384 0.62% 1 : 161 87.57%
71 A4 AK443 one pair 384 0.62% 1 : 161 86.95%
72 Q4 KQ443 one pair 384 0.62% 1 : 161 86.33%
73 J4 KJ443 one pair 384 0.62% 1 : 161 85.71%
74 T4 KT443 one pair 384 0.62% 1 : 161 85.09%
75 94 K9443 one pair 384 0.62% 1 : 161 84.47%
76 84 K8443 one pair 384 0.62% 1 : 161 83.86%
77 74 K7443 one pair 384 0.62% 1 : 161 83.24%
78 64 K6443 one pair 384 0.62% 1 : 161 82.62%
79 54 K5443 one pair 384 0.62% 1 : 161 82.00%
80 42 K4432 one pair 384 0.62% 1 : 161 81.38%
81 A3 AK433 one pair 384 0.62% 1 : 161 80.76%
82 Q3 KQ433 one pair 384 0.62% 1 : 161 80.14%
83 J3 KJ433 one pair 384 0.62% 1 : 161 79.52%
84 T3 KT433 one pair 384 0.62% 1 : 161 78.91%
85 93 K9433 one pair 384 0.62% 1 : 161 78.29%
86 83 K8433 one pair 384 0.62% 1 : 161 77.67%
87 73 K7433 one pair 384 0.62% 1 : 161 77.05%
88 63 K6433 one pair 384 0.62% 1 : 161 76.43%
89 53 K5433 one pair 384 0.62% 1 : 161 75.81%
90 32 K4332 one pair 384 0.62% 1 : 161 75.19%
91 22 K4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ43 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ43 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT43 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK943 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK843 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK743 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AK643 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AK543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK432 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ43 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT43 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ943 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ843 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ743 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q6 KQ643 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q5 KQ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ432 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT43 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ943 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ843 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ743 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 KJ643 high card 1,020 1.64% 1 : 59.8 39.44%
114 J5 KJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ432 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT943 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT843 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT743 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 KT643 high card 1,020 1.64% 1 : 59.8 29.58%
120 T5 KT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9843 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9743 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 K9643 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 K9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8743 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 K8643 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 K8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 K7643 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 K7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 K7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 K6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 K6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 52 K5432 high card 1,020 1.64% 1 : 59.8 1.64%