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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 AKQJ3 flush 4 0.01% 1 : 15515 100.00%
2 ATs AQJT3 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQJ93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQJ83 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQJ73 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQJ63 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQJ53 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQJ43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQJ32 flush 4 0.01% 1 : 15515 99.95%
10 KTs KQJT3 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQJ93 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQJ83 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQJ73 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQJ63 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQJ53 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQJ43 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s QJT93 flush 4 0.01% 1 : 15515 99.89%
19 T8s QJT83 flush 4 0.01% 1 : 15515 99.88%
20 T7s QJT73 flush 4 0.01% 1 : 15515 99.88%
21 T6s QJT63 flush 4 0.01% 1 : 15515 99.87%
22 T5s QJT53 flush 4 0.01% 1 : 15515 99.86%
23 T4s QJT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s QJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s QJ983 flush 4 0.01% 1 : 15515 99.85%
26 97s QJ973 flush 4 0.01% 1 : 15515 99.84%
27 96s QJ963 flush 4 0.01% 1 : 15515 99.83%
28 95s QJ953 flush 4 0.01% 1 : 15515 99.83%
29 94s QJ943 flush 4 0.01% 1 : 15515 99.82%
30 92s QJ932 flush 4 0.01% 1 : 15515 99.81%
31 87s QJ873 flush 4 0.01% 1 : 15515 99.81%
32 86s QJ863 flush 4 0.01% 1 : 15515 99.80%
33 85s QJ853 flush 4 0.01% 1 : 15515 99.79%
34 84s QJ843 flush 4 0.01% 1 : 15515 99.79%
35 82s QJ832 flush 4 0.01% 1 : 15515 99.78%
36 76s QJ763 flush 4 0.01% 1 : 15515 99.77%
37 75s QJ753 flush 4 0.01% 1 : 15515 99.77%
38 74s QJ743 flush 4 0.01% 1 : 15515 99.76%
39 72s QJ732 flush 4 0.01% 1 : 15515 99.76%
40 65s QJ653 flush 4 0.01% 1 : 15515 99.75%
41 64s QJ643 flush 4 0.01% 1 : 15515 99.74%
42 62s QJ632 flush 4 0.01% 1 : 15515 99.74%
43 54s QJ543 flush 4 0.01% 1 : 15515 99.73%
44 52s QJ532 flush 4 0.01% 1 : 15515 99.72%
45 42s QJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQJ3 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ QJJJ3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 QJ333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QJ QQJJ3 two pairs 144 0.23% 1 : 430 99.40%
50 Q3 QQJ33 two pairs 144 0.23% 1 : 430 99.17%
51 J3 QJJ33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQJ3 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQJ3 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQJ3 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQJ3 one pair 384 0.62% 1 : 161 96.85%
56 QT QQJT3 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQJ93 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQJ83 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQJ73 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQJ63 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQJ53 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQJ43 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQJ32 one pair 384 0.62% 1 : 161 91.90%
64 AJ AQJJ3 one pair 384 0.62% 1 : 161 91.28%
65 KJ KQJJ3 one pair 384 0.62% 1 : 161 90.66%
66 JT QJJT3 one pair 384 0.62% 1 : 161 90.04%
67 J9 QJJ93 one pair 384 0.62% 1 : 161 89.42%
68 J8 QJJ83 one pair 384 0.62% 1 : 161 88.81%
69 J7 QJJ73 one pair 384 0.62% 1 : 161 88.19%
70 J6 QJJ63 one pair 384 0.62% 1 : 161 87.57%
71 J5 QJJ53 one pair 384 0.62% 1 : 161 86.95%
72 J4 QJJ43 one pair 384 0.62% 1 : 161 86.33%
73 J2 QJJ32 one pair 384 0.62% 1 : 161 85.71%
74 TT QJTT3 one pair 384 0.62% 1 : 161 85.09%
75 99 QJ993 one pair 384 0.62% 1 : 161 84.47%
76 88 QJ883 one pair 384 0.62% 1 : 161 83.86%
77 77 QJ773 one pair 384 0.62% 1 : 161 83.24%
78 66 QJ663 one pair 384 0.62% 1 : 161 82.62%
79 55 QJ553 one pair 384 0.62% 1 : 161 82.00%
80 44 QJ443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AQJ33 one pair 384 0.62% 1 : 161 80.76%
82 K3 KQJ33 one pair 384 0.62% 1 : 161 80.14%
83 T3 QJT33 one pair 384 0.62% 1 : 161 79.52%
84 93 QJ933 one pair 384 0.62% 1 : 161 78.91%
85 83 QJ833 one pair 384 0.62% 1 : 161 78.29%
86 73 QJ733 one pair 384 0.62% 1 : 161 77.67%
87 63 QJ633 one pair 384 0.62% 1 : 161 77.05%
88 53 QJ533 one pair 384 0.62% 1 : 161 76.43%
89 43 QJ433 one pair 384 0.62% 1 : 161 75.81%
90 32 QJ332 one pair 384 0.62% 1 : 161 75.19%
91 22 QJ322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQJ3 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AQJT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQJ93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQJ83 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQJ73 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQJ63 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQJ53 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQJ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQJ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 KT KQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQJ93 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQJ83 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQJ73 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQJ63 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQJ53 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 QJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 QJT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 QJT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 QJT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 QJT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 QJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 QJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QJ983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QJ973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 QJ963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 QJ953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 QJ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QJ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QJ873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 QJ863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 QJ853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 QJ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QJ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 QJ763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 QJ753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 QJ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 QJ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 QJ653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 QJ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 QJ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 QJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 QJ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 QJ432 high card 1,020 1.64% 1 : 59.8 1.64%