non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 J9s QJT98 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKQT8 flush 4 0.01% 1 : 15515 99.99%
3 AJs AQJT8 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQT98 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQT87 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQT86 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQT85 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQT84 flush 4 0.01% 1 : 15515 99.95%
9 A3s AQT83 flush 4 0.01% 1 : 15515 99.95%
10 A2s AQT82 flush 4 0.01% 1 : 15515 99.94%
11 KJs KQJT8 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQT98 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQT87 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQT86 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQT85 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQT84 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQT83 flush 4 0.01% 1 : 15515 99.90%
18 K2s KQT82 flush 4 0.01% 1 : 15515 99.89%
19 J7s QJT87 flush 4 0.01% 1 : 15515 99.88%
20 J6s QJT86 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJT85 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJT84 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJT83 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJT82 flush 4 0.01% 1 : 15515 99.85%
25 97s QT987 flush 4 0.01% 1 : 15515 99.85%
26 96s QT986 flush 4 0.01% 1 : 15515 99.84%
27 95s QT985 flush 4 0.01% 1 : 15515 99.83%
28 94s QT984 flush 4 0.01% 1 : 15515 99.83%
29 93s QT983 flush 4 0.01% 1 : 15515 99.82%
30 92s QT982 flush 4 0.01% 1 : 15515 99.81%
31 76s QT876 flush 4 0.01% 1 : 15515 99.81%
32 75s QT875 flush 4 0.01% 1 : 15515 99.80%
33 74s QT874 flush 4 0.01% 1 : 15515 99.79%
34 73s QT873 flush 4 0.01% 1 : 15515 99.79%
35 72s QT872 flush 4 0.01% 1 : 15515 99.78%
36 65s QT865 flush 4 0.01% 1 : 15515 99.77%
37 64s QT864 flush 4 0.01% 1 : 15515 99.77%
38 63s QT863 flush 4 0.01% 1 : 15515 99.76%
39 62s QT862 flush 4 0.01% 1 : 15515 99.76%
40 54s QT854 flush 4 0.01% 1 : 15515 99.75%
41 53s QT853 flush 4 0.01% 1 : 15515 99.74%
42 52s QT852 flush 4 0.01% 1 : 15515 99.74%
43 43s QT843 flush 4 0.01% 1 : 15515 99.73%
44 42s QT842 flush 4 0.01% 1 : 15515 99.72%
45 32s QT832 flush 4 0.01% 1 : 15515 99.72%
 
46 J9 QJT98 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 QQ QQQT8 three of a kind 64 0.10% 1 : 969 98.07%
48 TT QTTT8 three of a kind 64 0.10% 1 : 969 97.96%
49 88 QT888 three of a kind 64 0.10% 1 : 969 97.86%
 
50 QT QQTT8 two pairs 144 0.23% 1 : 430 97.76%
51 Q8 QQT88 two pairs 144 0.23% 1 : 430 97.53%
52 T8 QTT88 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAQT8 one pair 384 0.62% 1 : 161 97.06%
54 KK KKQT8 one pair 384 0.62% 1 : 161 96.44%
55 AQ AQQT8 one pair 384 0.62% 1 : 161 95.82%
56 KQ KQQT8 one pair 384 0.62% 1 : 161 95.20%
57 QJ QQJT8 one pair 384 0.62% 1 : 161 94.59%
58 Q9 QQT98 one pair 384 0.62% 1 : 161 93.97%
59 Q7 QQT87 one pair 384 0.62% 1 : 161 93.35%
60 Q6 QQT86 one pair 384 0.62% 1 : 161 92.73%
61 Q5 QQT85 one pair 384 0.62% 1 : 161 92.11%
62 Q4 QQT84 one pair 384 0.62% 1 : 161 91.49%
63 Q3 QQT83 one pair 384 0.62% 1 : 161 90.87%
64 Q2 QQT82 one pair 384 0.62% 1 : 161 90.26%
65 JJ QJJT8 one pair 384 0.62% 1 : 161 89.64%
66 AT AQTT8 one pair 384 0.62% 1 : 161 89.02%
67 KT KQTT8 one pair 384 0.62% 1 : 161 88.40%
68 JT QJTT8 one pair 384 0.62% 1 : 161 87.78%
69 T9 QTT98 one pair 384 0.62% 1 : 161 87.16%
70 T7 QTT87 one pair 384 0.62% 1 : 161 86.54%
71 T6 QTT86 one pair 384 0.62% 1 : 161 85.92%
72 T5 QTT85 one pair 384 0.62% 1 : 161 85.31%
73 T4 QTT84 one pair 384 0.62% 1 : 161 84.69%
74 T3 QTT83 one pair 384 0.62% 1 : 161 84.07%
75 T2 QTT82 one pair 384 0.62% 1 : 161 83.45%
76 99 QT998 one pair 384 0.62% 1 : 161 82.83%
77 A8 AQT88 one pair 384 0.62% 1 : 161 82.21%
78 K8 KQT88 one pair 384 0.62% 1 : 161 81.59%
79 J8 QJT88 one pair 384 0.62% 1 : 161 80.97%
80 98 QT988 one pair 384 0.62% 1 : 161 80.36%
81 87 QT887 one pair 384 0.62% 1 : 161 79.74%
82 86 QT886 one pair 384 0.62% 1 : 161 79.12%
83 85 QT885 one pair 384 0.62% 1 : 161 78.50%
84 84 QT884 one pair 384 0.62% 1 : 161 77.88%
85 83 QT883 one pair 384 0.62% 1 : 161 77.26%
86 82 QT882 one pair 384 0.62% 1 : 161 76.64%
87 77 QT877 one pair 384 0.62% 1 : 161 76.02%
88 66 QT866 one pair 384 0.62% 1 : 161 75.41%
89 55 QT855 one pair 384 0.62% 1 : 161 74.79%
90 44 QT844 one pair 384 0.62% 1 : 161 74.17%
91 33 QT833 one pair 384 0.62% 1 : 161 73.55%
92 22 QT822 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKQT8 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AQJT8 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQT98 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQT87 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQT86 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQT85 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQT84 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AQT83 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AQT82 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KQJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQT98 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQT87 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQT86 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQT85 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQT84 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQT83 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KQT82 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 QJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 QJT86 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJT85 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJT84 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJT83 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJT82 high card 1,020 1.64% 1 : 59.8 36.16%
116 97 QT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 QT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 QT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 QT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 QT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 QT875 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 QT874 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 QT873 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 QT872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 QT865 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 QT864 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 QT863 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 QT862 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QT854 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QT853 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QT852 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QT843 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QT842 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QT832 high card 1,020 1.64% 1 : 59.8 1.64%