non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 3 12 0.02% 1 : 5171
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 42 168 0.27% 1 : 368
straight 3 3,060 4.93% 1 : 19.3
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 42 42,840 69.03% 2.23 : 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 QJs QJT98 straight flush 4 0.01% 1 : 15515 100.00%
2 J7s JT987 straight flush 4 0.01% 1 : 15515 99.99%
3 76s T9876 straight flush 4 0.01% 1 : 15515 99.99%
 
4 AKs AKT98 flush 4 0.01% 1 : 15515 99.98%
5 AQs AQT98 flush 4 0.01% 1 : 15515 99.97%
6 AJs AJT98 flush 4 0.01% 1 : 15515 99.97%
7 A7s AT987 flush 4 0.01% 1 : 15515 99.96%
8 A6s AT986 flush 4 0.01% 1 : 15515 99.95%
9 A5s AT985 flush 4 0.01% 1 : 15515 99.95%
10 A4s AT984 flush 4 0.01% 1 : 15515 99.94%
11 A3s AT983 flush 4 0.01% 1 : 15515 99.94%
12 A2s AT982 flush 4 0.01% 1 : 15515 99.93%
13 KQs KQT98 flush 4 0.01% 1 : 15515 99.92%
14 KJs KJT98 flush 4 0.01% 1 : 15515 99.92%
15 K7s KT987 flush 4 0.01% 1 : 15515 99.91%
16 K6s KT986 flush 4 0.01% 1 : 15515 99.90%
17 K5s KT985 flush 4 0.01% 1 : 15515 99.90%
18 K4s KT984 flush 4 0.01% 1 : 15515 99.89%
19 K3s KT983 flush 4 0.01% 1 : 15515 99.88%
20 K2s KT982 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT987 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT986 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QT985 flush 4 0.01% 1 : 15515 99.86%
24 Q4s QT984 flush 4 0.01% 1 : 15515 99.85%
25 Q3s QT983 flush 4 0.01% 1 : 15515 99.85%
26 Q2s QT982 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT986 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT985 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT984 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT983 flush 4 0.01% 1 : 15515 99.81%
31 J2s JT982 flush 4 0.01% 1 : 15515 99.81%
32 75s T9875 flush 4 0.01% 1 : 15515 99.80%
33 74s T9874 flush 4 0.01% 1 : 15515 99.79%
34 73s T9873 flush 4 0.01% 1 : 15515 99.79%
35 72s T9872 flush 4 0.01% 1 : 15515 99.78%
36 65s T9865 flush 4 0.01% 1 : 15515 99.77%
37 64s T9864 flush 4 0.01% 1 : 15515 99.77%
38 63s T9863 flush 4 0.01% 1 : 15515 99.76%
39 62s T9862 flush 4 0.01% 1 : 15515 99.76%
40 54s T9854 flush 4 0.01% 1 : 15515 99.75%
41 53s T9853 flush 4 0.01% 1 : 15515 99.74%
42 52s T9852 flush 4 0.01% 1 : 15515 99.74%
43 43s T9843 flush 4 0.01% 1 : 15515 99.73%
44 42s T9842 flush 4 0.01% 1 : 15515 99.72%
45 32s T9832 flush 4 0.01% 1 : 15515 99.72%
 
46 QJ QJT98 straight 1,020 1.64% 1 : 59.8 99.71%
47 J7 JT987 straight 1,020 1.64% 1 : 59.8 98.07%
48 76 T9876 straight 1,020 1.64% 1 : 59.8 96.42%
 
49 TT TTT98 three of a kind 64 0.10% 1 : 969 94.78%
50 99 T9998 three of a kind 64 0.10% 1 : 969 94.68%
51 88 T9888 three of a kind 64 0.10% 1 : 969 94.57%
 
52 T9 TT998 two pairs 144 0.23% 1 : 430 94.47%
53 T8 TT988 two pairs 144 0.23% 1 : 430 94.24%
54 98 T9988 two pairs 144 0.23% 1 : 430 94.01%
 
55 AA AAT98 one pair 384 0.62% 1 : 161 93.77%
56 KK KKT98 one pair 384 0.62% 1 : 161 93.16%
57 QQ QQT98 one pair 384 0.62% 1 : 161 92.54%
58 JJ JJT98 one pair 384 0.62% 1 : 161 91.92%
59 AT ATT98 one pair 384 0.62% 1 : 161 91.30%
60 KT KTT98 one pair 384 0.62% 1 : 161 90.68%
61 QT QTT98 one pair 384 0.62% 1 : 161 90.06%
62 JT JTT98 one pair 384 0.62% 1 : 161 89.44%
63 T7 TT987 one pair 384 0.62% 1 : 161 88.82%
64 T6 TT986 one pair 384 0.62% 1 : 161 88.21%
65 T5 TT985 one pair 384 0.62% 1 : 161 87.59%
66 T4 TT984 one pair 384 0.62% 1 : 161 86.97%
67 T3 TT983 one pair 384 0.62% 1 : 161 86.35%
68 T2 TT982 one pair 384 0.62% 1 : 161 85.73%
69 A9 AT998 one pair 384 0.62% 1 : 161 85.11%
70 K9 KT998 one pair 384 0.62% 1 : 161 84.49%
71 Q9 QT998 one pair 384 0.62% 1 : 161 83.87%
72 J9 JT998 one pair 384 0.62% 1 : 161 83.26%
73 97 T9987 one pair 384 0.62% 1 : 161 82.64%
74 96 T9986 one pair 384 0.62% 1 : 161 82.02%
75 95 T9985 one pair 384 0.62% 1 : 161 81.40%
76 94 T9984 one pair 384 0.62% 1 : 161 80.78%
77 93 T9983 one pair 384 0.62% 1 : 161 80.16%
78 92 T9982 one pair 384 0.62% 1 : 161 79.54%
79 A8 AT988 one pair 384 0.62% 1 : 161 78.92%
80 K8 KT988 one pair 384 0.62% 1 : 161 78.31%
81 Q8 QT988 one pair 384 0.62% 1 : 161 77.69%
82 J8 JT988 one pair 384 0.62% 1 : 161 77.07%
83 87 T9887 one pair 384 0.62% 1 : 161 76.45%
84 86 T9886 one pair 384 0.62% 1 : 161 75.83%
85 85 T9885 one pair 384 0.62% 1 : 161 75.21%
86 84 T9884 one pair 384 0.62% 1 : 161 74.59%
87 83 T9883 one pair 384 0.62% 1 : 161 73.98%
88 82 T9882 one pair 384 0.62% 1 : 161 73.36%
89 77 T9877 one pair 384 0.62% 1 : 161 72.74%
90 66 T9866 one pair 384 0.62% 1 : 161 72.12%
91 55 T9855 one pair 384 0.62% 1 : 161 71.50%
92 44 T9844 one pair 384 0.62% 1 : 161 70.88%
93 33 T9833 one pair 384 0.62% 1 : 161 70.26%
94 22 T9822 one pair 384 0.62% 1 : 161 69.64%
 
95 AK AKT98 high card 1,020 1.64% 1 : 59.8 69.03%
96 AQ AQT98 high card 1,020 1.64% 1 : 59.8 67.38%
97 AJ AJT98 high card 1,020 1.64% 1 : 59.8 65.74%
98 A7 AT987 high card 1,020 1.64% 1 : 59.8 64.10%
99 A6 AT986 high card 1,020 1.64% 1 : 59.8 62.45%
100 A5 AT985 high card 1,020 1.64% 1 : 59.8 60.81%
101 A4 AT984 high card 1,020 1.64% 1 : 59.8 59.16%
102 A3 AT983 high card 1,020 1.64% 1 : 59.8 57.52%
103 A2 AT982 high card 1,020 1.64% 1 : 59.8 55.88%
104 KQ KQT98 high card 1,020 1.64% 1 : 59.8 54.23%
105 KJ KJT98 high card 1,020 1.64% 1 : 59.8 52.59%
106 K7 KT987 high card 1,020 1.64% 1 : 59.8 50.95%
107 K6 KT986 high card 1,020 1.64% 1 : 59.8 49.30%
108 K5 KT985 high card 1,020 1.64% 1 : 59.8 47.66%
109 K4 KT984 high card 1,020 1.64% 1 : 59.8 46.02%
110 K3 KT983 high card 1,020 1.64% 1 : 59.8 44.37%
111 K2 KT982 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT987 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT986 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QT985 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 QT984 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 QT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 QT982 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT986 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT985 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT984 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT983 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 JT982 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 T9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 T9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 T9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 T9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 T9865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 T9864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 T9863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 T9862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 T9854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 T9853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 T9852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T9843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T9842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T9832 high card 1,020 1.64% 1 : 59.8 1.64%