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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 KJs AKQJ3 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKQT3 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKQ93 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKQ83 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKQ73 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKQ63 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKQ53 flush 4 0.01% 1 : 15515 99.96%
8 K4s AKQ43 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQ32 flush 4 0.01% 1 : 15515 99.95%
10 JTs AQJT3 flush 4 0.01% 1 : 15515 99.94%
11 J9s AQJ93 flush 4 0.01% 1 : 15515 99.94%
12 J8s AQJ83 flush 4 0.01% 1 : 15515 99.93%
13 J7s AQJ73 flush 4 0.01% 1 : 15515 99.92%
14 J6s AQJ63 flush 4 0.01% 1 : 15515 99.92%
15 J5s AQJ53 flush 4 0.01% 1 : 15515 99.91%
16 J4s AQJ43 flush 4 0.01% 1 : 15515 99.90%
17 J2s AQJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s AQT93 flush 4 0.01% 1 : 15515 99.89%
19 T8s AQT83 flush 4 0.01% 1 : 15515 99.88%
20 T7s AQT73 flush 4 0.01% 1 : 15515 99.88%
21 T6s AQT63 flush 4 0.01% 1 : 15515 99.87%
22 T5s AQT53 flush 4 0.01% 1 : 15515 99.86%
23 T4s AQT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s AQT32 flush 4 0.01% 1 : 15515 99.85%
25 98s AQ983 flush 4 0.01% 1 : 15515 99.85%
26 97s AQ973 flush 4 0.01% 1 : 15515 99.84%
27 96s AQ963 flush 4 0.01% 1 : 15515 99.83%
28 95s AQ953 flush 4 0.01% 1 : 15515 99.83%
29 94s AQ943 flush 4 0.01% 1 : 15515 99.82%
30 92s AQ932 flush 4 0.01% 1 : 15515 99.81%
31 87s AQ873 flush 4 0.01% 1 : 15515 99.81%
32 86s AQ863 flush 4 0.01% 1 : 15515 99.80%
33 85s AQ853 flush 4 0.01% 1 : 15515 99.79%
34 84s AQ843 flush 4 0.01% 1 : 15515 99.79%
35 82s AQ832 flush 4 0.01% 1 : 15515 99.78%
36 76s AQ763 flush 4 0.01% 1 : 15515 99.77%
37 75s AQ753 flush 4 0.01% 1 : 15515 99.77%
38 74s AQ743 flush 4 0.01% 1 : 15515 99.76%
39 72s AQ732 flush 4 0.01% 1 : 15515 99.76%
40 65s AQ653 flush 4 0.01% 1 : 15515 99.75%
41 64s AQ643 flush 4 0.01% 1 : 15515 99.74%
42 62s AQ632 flush 4 0.01% 1 : 15515 99.74%
43 54s AQ543 flush 4 0.01% 1 : 15515 99.73%
44 52s AQ532 flush 4 0.01% 1 : 15515 99.72%
45 42s AQ432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAQ3 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ AQQQ3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 AQ333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AQ AAQQ3 two pairs 144 0.23% 1 : 430 99.40%
50 A3 AAQ33 two pairs 144 0.23% 1 : 430 99.17%
51 Q3 AQQ33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKQ3 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAQJ3 one pair 384 0.62% 1 : 161 98.09%
54 AT AAQT3 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAQ93 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAQ83 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAQ73 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAQ63 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAQ53 one pair 384 0.62% 1 : 161 94.37%
60 A4 AAQ43 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAQ32 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKQ3 one pair 384 0.62% 1 : 161 92.52%
63 KQ AKQQ3 one pair 384 0.62% 1 : 161 91.90%
64 QJ AQQJ3 one pair 384 0.62% 1 : 161 91.28%
65 QT AQQT3 one pair 384 0.62% 1 : 161 90.66%
66 Q9 AQQ93 one pair 384 0.62% 1 : 161 90.04%
67 Q8 AQQ83 one pair 384 0.62% 1 : 161 89.42%
68 Q7 AQQ73 one pair 384 0.62% 1 : 161 88.81%
69 Q6 AQQ63 one pair 384 0.62% 1 : 161 88.19%
70 Q5 AQQ53 one pair 384 0.62% 1 : 161 87.57%
71 Q4 AQQ43 one pair 384 0.62% 1 : 161 86.95%
72 Q2 AQQ32 one pair 384 0.62% 1 : 161 86.33%
73 JJ AQJJ3 one pair 384 0.62% 1 : 161 85.71%
74 TT AQTT3 one pair 384 0.62% 1 : 161 85.09%
75 99 AQ993 one pair 384 0.62% 1 : 161 84.47%
76 88 AQ883 one pair 384 0.62% 1 : 161 83.86%
77 77 AQ773 one pair 384 0.62% 1 : 161 83.24%
78 66 AQ663 one pair 384 0.62% 1 : 161 82.62%
79 55 AQ553 one pair 384 0.62% 1 : 161 82.00%
80 44 AQ443 one pair 384 0.62% 1 : 161 81.38%
81 K3 AKQ33 one pair 384 0.62% 1 : 161 80.76%
82 J3 AQJ33 one pair 384 0.62% 1 : 161 80.14%
83 T3 AQT33 one pair 384 0.62% 1 : 161 79.52%
84 93 AQ933 one pair 384 0.62% 1 : 161 78.91%
85 83 AQ833 one pair 384 0.62% 1 : 161 78.29%
86 73 AQ733 one pair 384 0.62% 1 : 161 77.67%
87 63 AQ633 one pair 384 0.62% 1 : 161 77.05%
88 53 AQ533 one pair 384 0.62% 1 : 161 76.43%
89 43 AQ433 one pair 384 0.62% 1 : 161 75.81%
90 32 AQ332 one pair 384 0.62% 1 : 161 75.19%
91 22 AQ322 one pair 384 0.62% 1 : 161 74.57%
 
92 KJ AKQJ3 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKQT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKQ93 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKQ83 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKQ73 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKQ63 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKQ53 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AKQ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AQJ93 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AQJ83 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AQJ73 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 AQJ63 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 AQJ53 high card 1,020 1.64% 1 : 59.8 50.95%
107 J4 AQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AQJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AQT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AQT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AQT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AQT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AQT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 AQT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AQT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AQ983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AQ973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AQ963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AQ953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 AQ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AQ932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AQ873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AQ863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AQ853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 AQ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AQ832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AQ763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AQ753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 AQ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AQ732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AQ653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 AQ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AQ632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 AQ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 AQ532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 AQ432 high card 1,020 1.64% 1 : 59.8 1.64%