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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 KQs AKQJ3 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKJT3 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKJ93 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKJ83 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKJ73 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKJ63 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKJ53 flush 4 0.01% 1 : 15515 99.96%
8 K4s AKJ43 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKJ32 flush 4 0.01% 1 : 15515 99.95%
10 QTs AQJT3 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQJ93 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQJ83 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQJ73 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQJ63 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQJ53 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQJ43 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s AJT93 flush 4 0.01% 1 : 15515 99.89%
19 T8s AJT83 flush 4 0.01% 1 : 15515 99.88%
20 T7s AJT73 flush 4 0.01% 1 : 15515 99.88%
21 T6s AJT63 flush 4 0.01% 1 : 15515 99.87%
22 T5s AJT53 flush 4 0.01% 1 : 15515 99.86%
23 T4s AJT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s AJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s AJ983 flush 4 0.01% 1 : 15515 99.85%
26 97s AJ973 flush 4 0.01% 1 : 15515 99.84%
27 96s AJ963 flush 4 0.01% 1 : 15515 99.83%
28 95s AJ953 flush 4 0.01% 1 : 15515 99.83%
29 94s AJ943 flush 4 0.01% 1 : 15515 99.82%
30 92s AJ932 flush 4 0.01% 1 : 15515 99.81%
31 87s AJ873 flush 4 0.01% 1 : 15515 99.81%
32 86s AJ863 flush 4 0.01% 1 : 15515 99.80%
33 85s AJ853 flush 4 0.01% 1 : 15515 99.79%
34 84s AJ843 flush 4 0.01% 1 : 15515 99.79%
35 82s AJ832 flush 4 0.01% 1 : 15515 99.78%
36 76s AJ763 flush 4 0.01% 1 : 15515 99.77%
37 75s AJ753 flush 4 0.01% 1 : 15515 99.77%
38 74s AJ743 flush 4 0.01% 1 : 15515 99.76%
39 72s AJ732 flush 4 0.01% 1 : 15515 99.76%
40 65s AJ653 flush 4 0.01% 1 : 15515 99.75%
41 64s AJ643 flush 4 0.01% 1 : 15515 99.74%
42 62s AJ632 flush 4 0.01% 1 : 15515 99.74%
43 54s AJ543 flush 4 0.01% 1 : 15515 99.73%
44 52s AJ532 flush 4 0.01% 1 : 15515 99.72%
45 42s AJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAJ3 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ AJJJ3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 AJ333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AJ AAJJ3 two pairs 144 0.23% 1 : 430 99.40%
50 A3 AAJ33 two pairs 144 0.23% 1 : 430 99.17%
51 J3 AJJ33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKJ3 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQJ3 one pair 384 0.62% 1 : 161 98.09%
54 AT AAJT3 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAJ93 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAJ83 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAJ73 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAJ63 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAJ53 one pair 384 0.62% 1 : 161 94.37%
60 A4 AAJ43 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAJ32 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKJ3 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQJ3 one pair 384 0.62% 1 : 161 91.90%
64 KJ AKJJ3 one pair 384 0.62% 1 : 161 91.28%
65 QJ AQJJ3 one pair 384 0.62% 1 : 161 90.66%
66 JT AJJT3 one pair 384 0.62% 1 : 161 90.04%
67 J9 AJJ93 one pair 384 0.62% 1 : 161 89.42%
68 J8 AJJ83 one pair 384 0.62% 1 : 161 88.81%
69 J7 AJJ73 one pair 384 0.62% 1 : 161 88.19%
70 J6 AJJ63 one pair 384 0.62% 1 : 161 87.57%
71 J5 AJJ53 one pair 384 0.62% 1 : 161 86.95%
72 J4 AJJ43 one pair 384 0.62% 1 : 161 86.33%
73 J2 AJJ32 one pair 384 0.62% 1 : 161 85.71%
74 TT AJTT3 one pair 384 0.62% 1 : 161 85.09%
75 99 AJ993 one pair 384 0.62% 1 : 161 84.47%
76 88 AJ883 one pair 384 0.62% 1 : 161 83.86%
77 77 AJ773 one pair 384 0.62% 1 : 161 83.24%
78 66 AJ663 one pair 384 0.62% 1 : 161 82.62%
79 55 AJ553 one pair 384 0.62% 1 : 161 82.00%
80 44 AJ443 one pair 384 0.62% 1 : 161 81.38%
81 K3 AKJ33 one pair 384 0.62% 1 : 161 80.76%
82 Q3 AQJ33 one pair 384 0.62% 1 : 161 80.14%
83 T3 AJT33 one pair 384 0.62% 1 : 161 79.52%
84 93 AJ933 one pair 384 0.62% 1 : 161 78.91%
85 83 AJ833 one pair 384 0.62% 1 : 161 78.29%
86 73 AJ733 one pair 384 0.62% 1 : 161 77.67%
87 63 AJ633 one pair 384 0.62% 1 : 161 77.05%
88 53 AJ533 one pair 384 0.62% 1 : 161 76.43%
89 43 AJ433 one pair 384 0.62% 1 : 161 75.81%
90 32 AJ332 one pair 384 0.62% 1 : 161 75.19%
91 22 AJ322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQJ3 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKJT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKJ93 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKJ83 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKJ73 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKJ63 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKJ53 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AKJ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKJ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT AQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQJ93 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQJ83 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQJ73 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQJ63 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQJ53 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AJT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AJT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AJT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AJT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 AJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AJ983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AJ973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AJ963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AJ953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 AJ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AJ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AJ873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AJ863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AJ853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 AJ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AJ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AJ763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AJ753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 AJ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AJ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AJ653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 AJ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AJ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 AJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 AJ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 AJ432 high card 1,020 1.64% 1 : 59.8 1.64%