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 AKQT8 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJT8 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKT98 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKT87 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKT86 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKT85 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKT84 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKT83 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKT82 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJT8 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQT98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s AQT87 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQT86 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQT85 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQT84 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQT83 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQT82 flush 4 0.01% 1 : 15515 99.90%
18 J9s AJT98 flush 4 0.01% 1 : 15515 99.89%
19 J7s AJT87 flush 4 0.01% 1 : 15515 99.88%
20 J6s AJT86 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJT85 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJT84 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJT83 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJT82 flush 4 0.01% 1 : 15515 99.85%
25 97s AT987 flush 4 0.01% 1 : 15515 99.85%
26 96s AT986 flush 4 0.01% 1 : 15515 99.84%
27 95s AT985 flush 4 0.01% 1 : 15515 99.83%
28 94s AT984 flush 4 0.01% 1 : 15515 99.83%
29 93s AT983 flush 4 0.01% 1 : 15515 99.82%
30 92s AT982 flush 4 0.01% 1 : 15515 99.81%
31 76s AT876 flush 4 0.01% 1 : 15515 99.81%
32 75s AT875 flush 4 0.01% 1 : 15515 99.80%
33 74s AT874 flush 4 0.01% 1 : 15515 99.79%
34 73s AT873 flush 4 0.01% 1 : 15515 99.79%
35 72s AT872 flush 4 0.01% 1 : 15515 99.78%
36 65s AT865 flush 4 0.01% 1 : 15515 99.77%
37 64s AT864 flush 4 0.01% 1 : 15515 99.77%
38 63s AT863 flush 4 0.01% 1 : 15515 99.76%
39 62s AT862 flush 4 0.01% 1 : 15515 99.76%
40 54s AT854 flush 4 0.01% 1 : 15515 99.75%
41 53s AT853 flush 4 0.01% 1 : 15515 99.74%
42 52s AT852 flush 4 0.01% 1 : 15515 99.74%
43 43s AT843 flush 4 0.01% 1 : 15515 99.73%
44 42s AT842 flush 4 0.01% 1 : 15515 99.72%
45 32s AT832 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAT8 three of a kind 64 0.10% 1 : 969 99.71%
47 TT ATTT8 three of a kind 64 0.10% 1 : 969 99.61%
48 88 AT888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AT AATT8 two pairs 144 0.23% 1 : 430 99.40%
50 A8 AAT88 two pairs 144 0.23% 1 : 430 99.17%
51 T8 ATT88 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKT8 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQT8 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJT8 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAT98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AAT87 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAT86 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAT85 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAT84 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAT83 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAT82 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKT8 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQT8 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJT8 one pair 384 0.62% 1 : 161 91.28%
65 KT AKTT8 one pair 384 0.62% 1 : 161 90.66%
66 QT AQTT8 one pair 384 0.62% 1 : 161 90.04%
67 JT AJTT8 one pair 384 0.62% 1 : 161 89.42%
68 T9 ATT98 one pair 384 0.62% 1 : 161 88.81%
69 T7 ATT87 one pair 384 0.62% 1 : 161 88.19%
70 T6 ATT86 one pair 384 0.62% 1 : 161 87.57%
71 T5 ATT85 one pair 384 0.62% 1 : 161 86.95%
72 T4 ATT84 one pair 384 0.62% 1 : 161 86.33%
73 T3 ATT83 one pair 384 0.62% 1 : 161 85.71%
74 T2 ATT82 one pair 384 0.62% 1 : 161 85.09%
75 99 AT998 one pair 384 0.62% 1 : 161 84.47%
76 K8 AKT88 one pair 384 0.62% 1 : 161 83.86%
77 Q8 AQT88 one pair 384 0.62% 1 : 161 83.24%
78 J8 AJT88 one pair 384 0.62% 1 : 161 82.62%
79 98 AT988 one pair 384 0.62% 1 : 161 82.00%
80 87 AT887 one pair 384 0.62% 1 : 161 81.38%
81 86 AT886 one pair 384 0.62% 1 : 161 80.76%
82 85 AT885 one pair 384 0.62% 1 : 161 80.14%
83 84 AT884 one pair 384 0.62% 1 : 161 79.52%
84 83 AT883 one pair 384 0.62% 1 : 161 78.91%
85 82 AT882 one pair 384 0.62% 1 : 161 78.29%
86 77 AT877 one pair 384 0.62% 1 : 161 77.67%
87 66 AT866 one pair 384 0.62% 1 : 161 77.05%
88 55 AT855 one pair 384 0.62% 1 : 161 76.43%
89 44 AT844 one pair 384 0.62% 1 : 161 75.81%
90 33 AT833 one pair 384 0.62% 1 : 161 75.19%
91 22 AT822 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQT8 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJT8 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKT98 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKT87 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKT86 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKT85 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKT84 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKT83 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKT82 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJT8 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQT98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 AQT87 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQT86 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQT85 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQT84 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQT83 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQT82 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 AJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 AJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 AJT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 AT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 AT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AT875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AT874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AT873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AT872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AT865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AT864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AT863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AT862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AT854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AT853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AT852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AT843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AT842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AT832 high card 1,020 1.64% 1 : 59.8 1.64%