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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 AKQ43 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ43 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT43 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ943 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ843 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQ743 flush 4 0.01% 1 : 15515 99.97%
7 A6s AQ643 flush 4 0.01% 1 : 15515 99.96%
8 A5s AQ543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ432 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ43 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT43 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ943 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ843 flush 4 0.01% 1 : 15515 99.92%
14 K7s KQ743 flush 4 0.01% 1 : 15515 99.92%
15 K6s KQ643 flush 4 0.01% 1 : 15515 99.91%
16 K5s KQ543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ432 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT43 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ943 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ843 flush 4 0.01% 1 : 15515 99.88%
21 J7s QJ743 flush 4 0.01% 1 : 15515 99.87%
22 J6s QJ643 flush 4 0.01% 1 : 15515 99.86%
23 J5s QJ543 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ432 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT943 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT843 flush 4 0.01% 1 : 15515 99.84%
27 T7s QT743 flush 4 0.01% 1 : 15515 99.83%
28 T6s QT643 flush 4 0.01% 1 : 15515 99.83%
29 T5s QT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT432 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9843 flush 4 0.01% 1 : 15515 99.81%
32 97s Q9743 flush 4 0.01% 1 : 15515 99.80%
33 96s Q9643 flush 4 0.01% 1 : 15515 99.79%
34 95s Q9543 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9432 flush 4 0.01% 1 : 15515 99.78%
36 87s Q8743 flush 4 0.01% 1 : 15515 99.77%
37 86s Q8643 flush 4 0.01% 1 : 15515 99.77%
38 85s Q8543 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8432 flush 4 0.01% 1 : 15515 99.76%
40 76s Q7643 flush 4 0.01% 1 : 15515 99.75%
41 75s Q7543 flush 4 0.01% 1 : 15515 99.74%
42 72s Q7432 flush 4 0.01% 1 : 15515 99.74%
43 65s Q6543 flush 4 0.01% 1 : 15515 99.73%
44 62s Q6432 flush 4 0.01% 1 : 15515 99.72%
45 52s Q5432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ43 three of a kind 64 0.10% 1 : 969 99.71%
47 44 Q4443 three of a kind 64 0.10% 1 : 969 99.61%
48 33 Q4333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q4 QQ443 two pairs 144 0.23% 1 : 430 99.40%
50 Q3 QQ433 two pairs 144 0.23% 1 : 430 99.17%
51 43 Q4433 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ43 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ43 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ43 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ43 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ43 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT43 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ943 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ843 one pair 384 0.62% 1 : 161 94.37%
60 Q7 QQ743 one pair 384 0.62% 1 : 161 93.75%
61 Q6 QQ643 one pair 384 0.62% 1 : 161 93.14%
62 Q5 QQ543 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ432 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ43 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT43 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9943 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8843 one pair 384 0.62% 1 : 161 89.42%
68 77 Q7743 one pair 384 0.62% 1 : 161 88.81%
69 66 Q6643 one pair 384 0.62% 1 : 161 88.19%
70 55 Q5543 one pair 384 0.62% 1 : 161 87.57%
71 A4 AQ443 one pair 384 0.62% 1 : 161 86.95%
72 K4 KQ443 one pair 384 0.62% 1 : 161 86.33%
73 J4 QJ443 one pair 384 0.62% 1 : 161 85.71%
74 T4 QT443 one pair 384 0.62% 1 : 161 85.09%
75 94 Q9443 one pair 384 0.62% 1 : 161 84.47%
76 84 Q8443 one pair 384 0.62% 1 : 161 83.86%
77 74 Q7443 one pair 384 0.62% 1 : 161 83.24%
78 64 Q6443 one pair 384 0.62% 1 : 161 82.62%
79 54 Q5443 one pair 384 0.62% 1 : 161 82.00%
80 42 Q4432 one pair 384 0.62% 1 : 161 81.38%
81 A3 AQ433 one pair 384 0.62% 1 : 161 80.76%
82 K3 KQ433 one pair 384 0.62% 1 : 161 80.14%
83 J3 QJ433 one pair 384 0.62% 1 : 161 79.52%
84 T3 QT433 one pair 384 0.62% 1 : 161 78.91%
85 93 Q9433 one pair 384 0.62% 1 : 161 78.29%
86 83 Q8433 one pair 384 0.62% 1 : 161 77.67%
87 73 Q7433 one pair 384 0.62% 1 : 161 77.05%
88 63 Q6433 one pair 384 0.62% 1 : 161 76.43%
89 53 Q5433 one pair 384 0.62% 1 : 161 75.81%
90 32 Q4332 one pair 384 0.62% 1 : 161 75.19%
91 22 Q4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ43 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ43 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT43 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ943 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ843 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQ743 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AQ643 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AQ543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ43 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT43 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ943 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ843 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KQ743 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KQ643 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KQ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ432 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT43 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ943 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ843 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 QJ743 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 QJ643 high card 1,020 1.64% 1 : 59.8 39.44%
114 J5 QJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ432 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT943 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT843 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 QT743 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 QT643 high card 1,020 1.64% 1 : 59.8 29.58%
120 T5 QT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9843 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 Q9743 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 Q9643 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 Q9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 Q8743 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 Q8643 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 Q8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 Q7643 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 Q7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 Q7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 Q6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 Q6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 52 Q5432 high card 1,020 1.64% 1 : 59.8 1.64%