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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 AKJ53 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ53 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT53 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ953 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ853 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ753 flush 4 0.01% 1 : 15515 99.97%
7 A6s AJ653 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ53 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT53 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ953 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ853 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ753 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJ653 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ532 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT53 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ953 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ853 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ753 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QJ653 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ532 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT953 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT853 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT753 flush 4 0.01% 1 : 15515 99.83%
28 T6s JT653 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT532 flush 4 0.01% 1 : 15515 99.81%
31 98s J9853 flush 4 0.01% 1 : 15515 99.81%
32 97s J9753 flush 4 0.01% 1 : 15515 99.80%
33 96s J9653 flush 4 0.01% 1 : 15515 99.79%
34 94s J9543 flush 4 0.01% 1 : 15515 99.79%
35 92s J9532 flush 4 0.01% 1 : 15515 99.78%
36 87s J8753 flush 4 0.01% 1 : 15515 99.77%
37 86s J8653 flush 4 0.01% 1 : 15515 99.77%
38 84s J8543 flush 4 0.01% 1 : 15515 99.76%
39 82s J8532 flush 4 0.01% 1 : 15515 99.76%
40 76s J7653 flush 4 0.01% 1 : 15515 99.75%
41 74s J7543 flush 4 0.01% 1 : 15515 99.74%
42 72s J7532 flush 4 0.01% 1 : 15515 99.74%
43 64s J6543 flush 4 0.01% 1 : 15515 99.73%
44 62s J6532 flush 4 0.01% 1 : 15515 99.72%
45 42s J5432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ53 three of a kind 64 0.10% 1 : 969 99.71%
47 55 J5553 three of a kind 64 0.10% 1 : 969 99.61%
48 33 J5333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J5 JJ553 two pairs 144 0.23% 1 : 430 99.40%
50 J3 JJ533 two pairs 144 0.23% 1 : 430 99.17%
51 53 J5533 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ53 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ53 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ53 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ53 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ53 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ53 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT53 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ953 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ853 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ753 one pair 384 0.62% 1 : 161 93.14%
62 J6 JJ653 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ543 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ532 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT53 one pair 384 0.62% 1 : 161 90.66%
66 99 J9953 one pair 384 0.62% 1 : 161 90.04%
67 88 J8853 one pair 384 0.62% 1 : 161 89.42%
68 77 J7753 one pair 384 0.62% 1 : 161 88.81%
69 66 J6653 one pair 384 0.62% 1 : 161 88.19%
70 A5 AJ553 one pair 384 0.62% 1 : 161 87.57%
71 K5 KJ553 one pair 384 0.62% 1 : 161 86.95%
72 Q5 QJ553 one pair 384 0.62% 1 : 161 86.33%
73 T5 JT553 one pair 384 0.62% 1 : 161 85.71%
74 95 J9553 one pair 384 0.62% 1 : 161 85.09%
75 85 J8553 one pair 384 0.62% 1 : 161 84.47%
76 75 J7553 one pair 384 0.62% 1 : 161 83.86%
77 65 J6553 one pair 384 0.62% 1 : 161 83.24%
78 54 J5543 one pair 384 0.62% 1 : 161 82.62%
79 52 J5532 one pair 384 0.62% 1 : 161 82.00%
80 44 J5443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AJ533 one pair 384 0.62% 1 : 161 80.76%
82 K3 KJ533 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QJ533 one pair 384 0.62% 1 : 161 79.52%
84 T3 JT533 one pair 384 0.62% 1 : 161 78.91%
85 93 J9533 one pair 384 0.62% 1 : 161 78.29%
86 83 J8533 one pair 384 0.62% 1 : 161 77.67%
87 73 J7533 one pair 384 0.62% 1 : 161 77.05%
88 63 J6533 one pair 384 0.62% 1 : 161 76.43%
89 43 J5433 one pair 384 0.62% 1 : 161 75.81%
90 32 J5332 one pair 384 0.62% 1 : 161 75.19%
91 22 J5322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ53 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ53 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT53 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ953 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ853 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ753 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AJ653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ53 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT53 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ953 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ853 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ753 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJ653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT53 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ953 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ853 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ753 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QJ653 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ532 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT953 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT853 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT753 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 JT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9853 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9753 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 J9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 J9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8753 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 J8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 J8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 J7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 J7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 J7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 J6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 J6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 J5432 high card 1,020 1.64% 1 : 59.8 1.64%