non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 Q9s QJT98 straight flush 4 0.01% 1 : 15515 100.00%
2 97s JT987 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AKJT8 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQJT8 flush 4 0.01% 1 : 15515 99.98%
5 A9s AJT98 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJT87 flush 4 0.01% 1 : 15515 99.97%
7 A6s AJT86 flush 4 0.01% 1 : 15515 99.96%
8 A5s AJT85 flush 4 0.01% 1 : 15515 99.95%
9 A4s AJT84 flush 4 0.01% 1 : 15515 99.95%
10 A3s AJT83 flush 4 0.01% 1 : 15515 99.94%
11 A2s AJT82 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQJT8 flush 4 0.01% 1 : 15515 99.93%
13 K9s KJT98 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJT87 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJT86 flush 4 0.01% 1 : 15515 99.91%
16 K5s KJT85 flush 4 0.01% 1 : 15515 99.90%
17 K4s KJT84 flush 4 0.01% 1 : 15515 99.90%
18 K3s KJT83 flush 4 0.01% 1 : 15515 99.89%
19 K2s KJT82 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJT87 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJT86 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJT85 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJT84 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJT83 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QJT82 flush 4 0.01% 1 : 15515 99.85%
26 96s JT986 flush 4 0.01% 1 : 15515 99.84%
27 95s JT985 flush 4 0.01% 1 : 15515 99.83%
28 94s JT984 flush 4 0.01% 1 : 15515 99.83%
29 93s JT983 flush 4 0.01% 1 : 15515 99.82%
30 92s JT982 flush 4 0.01% 1 : 15515 99.81%
31 76s JT876 flush 4 0.01% 1 : 15515 99.81%
32 75s JT875 flush 4 0.01% 1 : 15515 99.80%
33 74s JT874 flush 4 0.01% 1 : 15515 99.79%
34 73s JT873 flush 4 0.01% 1 : 15515 99.79%
35 72s JT872 flush 4 0.01% 1 : 15515 99.78%
36 65s JT865 flush 4 0.01% 1 : 15515 99.77%
37 64s JT864 flush 4 0.01% 1 : 15515 99.77%
38 63s JT863 flush 4 0.01% 1 : 15515 99.76%
39 62s JT862 flush 4 0.01% 1 : 15515 99.76%
40 54s JT854 flush 4 0.01% 1 : 15515 99.75%
41 53s JT853 flush 4 0.01% 1 : 15515 99.74%
42 52s JT852 flush 4 0.01% 1 : 15515 99.74%
43 43s JT843 flush 4 0.01% 1 : 15515 99.73%
44 42s JT842 flush 4 0.01% 1 : 15515 99.72%
45 32s JT832 flush 4 0.01% 1 : 15515 99.72%
 
46 Q9 QJT98 straight 1,020 1.64% 1 : 59.8 99.71%
47 97 JT987 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 JJ JJJT8 three of a kind 64 0.10% 1 : 969 96.42%
49 TT JTTT8 three of a kind 64 0.10% 1 : 969 96.32%
50 88 JT888 three of a kind 64 0.10% 1 : 969 96.22%
 
51 JT JJTT8 two pairs 144 0.23% 1 : 430 96.11%
52 J8 JJT88 two pairs 144 0.23% 1 : 430 95.88%
53 T8 JTT88 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAJT8 one pair 384 0.62% 1 : 161 95.42%
55 KK KKJT8 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQJT8 one pair 384 0.62% 1 : 161 94.18%
57 AJ AJJT8 one pair 384 0.62% 1 : 161 93.56%
58 KJ KJJT8 one pair 384 0.62% 1 : 161 92.94%
59 QJ QJJT8 one pair 384 0.62% 1 : 161 92.32%
60 J9 JJT98 one pair 384 0.62% 1 : 161 91.71%
61 J7 JJT87 one pair 384 0.62% 1 : 161 91.09%
62 J6 JJT86 one pair 384 0.62% 1 : 161 90.47%
63 J5 JJT85 one pair 384 0.62% 1 : 161 89.85%
64 J4 JJT84 one pair 384 0.62% 1 : 161 89.23%
65 J3 JJT83 one pair 384 0.62% 1 : 161 88.61%
66 J2 JJT82 one pair 384 0.62% 1 : 161 87.99%
67 AT AJTT8 one pair 384 0.62% 1 : 161 87.37%
68 KT KJTT8 one pair 384 0.62% 1 : 161 86.76%
69 QT QJTT8 one pair 384 0.62% 1 : 161 86.14%
70 T9 JTT98 one pair 384 0.62% 1 : 161 85.52%
71 T7 JTT87 one pair 384 0.62% 1 : 161 84.90%
72 T6 JTT86 one pair 384 0.62% 1 : 161 84.28%
73 T5 JTT85 one pair 384 0.62% 1 : 161 83.66%
74 T4 JTT84 one pair 384 0.62% 1 : 161 83.04%
75 T3 JTT83 one pair 384 0.62% 1 : 161 82.42%
76 T2 JTT82 one pair 384 0.62% 1 : 161 81.81%
77 99 JT998 one pair 384 0.62% 1 : 161 81.19%
78 A8 AJT88 one pair 384 0.62% 1 : 161 80.57%
79 K8 KJT88 one pair 384 0.62% 1 : 161 79.95%
80 Q8 QJT88 one pair 384 0.62% 1 : 161 79.33%
81 98 JT988 one pair 384 0.62% 1 : 161 78.71%
82 87 JT887 one pair 384 0.62% 1 : 161 78.09%
83 86 JT886 one pair 384 0.62% 1 : 161 77.47%
84 85 JT885 one pair 384 0.62% 1 : 161 76.86%
85 84 JT884 one pair 384 0.62% 1 : 161 76.24%
86 83 JT883 one pair 384 0.62% 1 : 161 75.62%
87 82 JT882 one pair 384 0.62% 1 : 161 75.00%
88 77 JT877 one pair 384 0.62% 1 : 161 74.38%
89 66 JT866 one pair 384 0.62% 1 : 161 73.76%
90 55 JT855 one pair 384 0.62% 1 : 161 73.14%
91 44 JT844 one pair 384 0.62% 1 : 161 72.53%
92 33 JT833 one pair 384 0.62% 1 : 161 71.91%
93 22 JT822 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AKJT8 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQJT8 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 AJT98 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJT87 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AJT86 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AJT85 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AJT84 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 AJT83 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 AJT82 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQJT8 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 KJT98 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJT87 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJT86 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KJT85 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 KJT84 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 KJT83 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 KJT82 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJT87 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJT86 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJT85 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJT84 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJT83 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QJT82 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 JT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 JT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 JT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 JT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 JT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 JT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 JT875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 JT874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 JT873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 JT872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 JT865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 JT864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 JT863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 JT862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 JT854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 JT853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 JT852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 JT843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 JT842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 JT832 high card 1,020 1.64% 1 : 59.8 1.64%