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 AKQJ8 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKQT8 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKQ98 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKQ87 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKQ86 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKQ85 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKQ84 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKQ83 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQ82 flush 4 0.01% 1 : 15515 99.95%
10 JTs AQJT8 flush 4 0.01% 1 : 15515 99.94%
11 J9s AQJ98 flush 4 0.01% 1 : 15515 99.94%
12 J7s AQJ87 flush 4 0.01% 1 : 15515 99.93%
13 J6s AQJ86 flush 4 0.01% 1 : 15515 99.92%
14 J5s AQJ85 flush 4 0.01% 1 : 15515 99.92%
15 J4s AQJ84 flush 4 0.01% 1 : 15515 99.91%
16 J3s AQJ83 flush 4 0.01% 1 : 15515 99.90%
17 J2s AQJ82 flush 4 0.01% 1 : 15515 99.90%
18 T9s AQT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s AQT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s AQT86 flush 4 0.01% 1 : 15515 99.88%
21 T5s AQT85 flush 4 0.01% 1 : 15515 99.87%
22 T4s AQT84 flush 4 0.01% 1 : 15515 99.86%
23 T3s AQT83 flush 4 0.01% 1 : 15515 99.86%
24 T2s AQT82 flush 4 0.01% 1 : 15515 99.85%
25 97s AQ987 flush 4 0.01% 1 : 15515 99.85%
26 96s AQ986 flush 4 0.01% 1 : 15515 99.84%
27 95s AQ985 flush 4 0.01% 1 : 15515 99.83%
28 94s AQ984 flush 4 0.01% 1 : 15515 99.83%
29 93s AQ983 flush 4 0.01% 1 : 15515 99.82%
30 92s AQ982 flush 4 0.01% 1 : 15515 99.81%
31 76s AQ876 flush 4 0.01% 1 : 15515 99.81%
32 75s AQ875 flush 4 0.01% 1 : 15515 99.80%
33 74s AQ874 flush 4 0.01% 1 : 15515 99.79%
34 73s AQ873 flush 4 0.01% 1 : 15515 99.79%
35 72s AQ872 flush 4 0.01% 1 : 15515 99.78%
36 65s AQ865 flush 4 0.01% 1 : 15515 99.77%
37 64s AQ864 flush 4 0.01% 1 : 15515 99.77%
38 63s AQ863 flush 4 0.01% 1 : 15515 99.76%
39 62s AQ862 flush 4 0.01% 1 : 15515 99.76%
40 54s AQ854 flush 4 0.01% 1 : 15515 99.75%
41 53s AQ853 flush 4 0.01% 1 : 15515 99.74%
42 52s AQ852 flush 4 0.01% 1 : 15515 99.74%
43 43s AQ843 flush 4 0.01% 1 : 15515 99.73%
44 42s AQ842 flush 4 0.01% 1 : 15515 99.72%
45 32s AQ832 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAQ8 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ AQQQ8 three of a kind 64 0.10% 1 : 969 99.61%
48 88 AQ888 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AQ AAQQ8 two pairs 144 0.23% 1 : 430 99.40%
50 A8 AAQ88 two pairs 144 0.23% 1 : 430 99.17%
51 Q8 AQQ88 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKQ8 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAQJ8 one pair 384 0.62% 1 : 161 98.09%
54 AT AAQT8 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAQ98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AAQ87 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAQ86 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAQ85 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAQ84 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAQ83 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAQ82 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKQ8 one pair 384 0.62% 1 : 161 92.52%
63 KQ AKQQ8 one pair 384 0.62% 1 : 161 91.90%
64 QJ AQQJ8 one pair 384 0.62% 1 : 161 91.28%
65 QT AQQT8 one pair 384 0.62% 1 : 161 90.66%
66 Q9 AQQ98 one pair 384 0.62% 1 : 161 90.04%
67 Q7 AQQ87 one pair 384 0.62% 1 : 161 89.42%
68 Q6 AQQ86 one pair 384 0.62% 1 : 161 88.81%
69 Q5 AQQ85 one pair 384 0.62% 1 : 161 88.19%
70 Q4 AQQ84 one pair 384 0.62% 1 : 161 87.57%
71 Q3 AQQ83 one pair 384 0.62% 1 : 161 86.95%
72 Q2 AQQ82 one pair 384 0.62% 1 : 161 86.33%
73 JJ AQJJ8 one pair 384 0.62% 1 : 161 85.71%
74 TT AQTT8 one pair 384 0.62% 1 : 161 85.09%
75 99 AQ998 one pair 384 0.62% 1 : 161 84.47%
76 K8 AKQ88 one pair 384 0.62% 1 : 161 83.86%
77 J8 AQJ88 one pair 384 0.62% 1 : 161 83.24%
78 T8 AQT88 one pair 384 0.62% 1 : 161 82.62%
79 98 AQ988 one pair 384 0.62% 1 : 161 82.00%
80 87 AQ887 one pair 384 0.62% 1 : 161 81.38%
81 86 AQ886 one pair 384 0.62% 1 : 161 80.76%
82 85 AQ885 one pair 384 0.62% 1 : 161 80.14%
83 84 AQ884 one pair 384 0.62% 1 : 161 79.52%
84 83 AQ883 one pair 384 0.62% 1 : 161 78.91%
85 82 AQ882 one pair 384 0.62% 1 : 161 78.29%
86 77 AQ877 one pair 384 0.62% 1 : 161 77.67%
87 66 AQ866 one pair 384 0.62% 1 : 161 77.05%
88 55 AQ855 one pair 384 0.62% 1 : 161 76.43%
89 44 AQ844 one pair 384 0.62% 1 : 161 75.81%
90 33 AQ833 one pair 384 0.62% 1 : 161 75.19%
91 22 AQ822 one pair 384 0.62% 1 : 161 74.57%
 
92 KJ AKQJ8 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKQT8 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKQ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKQ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKQ86 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKQ85 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKQ84 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKQ83 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQ82 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AQJT8 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AQJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 J7 AQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 AQJ86 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AQJ85 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AQJ84 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AQJ83 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AQJ82 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AQT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 AQT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AQT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AQT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AQT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AQT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AQT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 AQ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 AQ986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AQ985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AQ984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AQ983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AQ982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AQ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AQ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AQ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AQ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AQ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AQ865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AQ864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AQ863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AQ862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AQ854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AQ853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AQ852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AQ843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AQ842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AQ832 high card 1,020 1.64% 1 : 59.8 1.64%