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 AJs AKQJ7 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKQT7 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKQ97 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKQ87 flush 4 0.01% 1 : 15515 99.98%
5 A6s AKQ76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKQ75 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKQ74 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKQ73 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKQ72 flush 4 0.01% 1 : 15515 99.95%
10 JTs KQJT7 flush 4 0.01% 1 : 15515 99.94%
11 J9s KQJ97 flush 4 0.01% 1 : 15515 99.94%
12 J8s KQJ87 flush 4 0.01% 1 : 15515 99.93%
13 J6s KQJ76 flush 4 0.01% 1 : 15515 99.92%
14 J5s KQJ75 flush 4 0.01% 1 : 15515 99.92%
15 J4s KQJ74 flush 4 0.01% 1 : 15515 99.91%
16 J3s KQJ73 flush 4 0.01% 1 : 15515 99.90%
17 J2s KQJ72 flush 4 0.01% 1 : 15515 99.90%
18 T9s KQT97 flush 4 0.01% 1 : 15515 99.89%
19 T8s KQT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s KQT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s KQT75 flush 4 0.01% 1 : 15515 99.87%
22 T4s KQT74 flush 4 0.01% 1 : 15515 99.86%
23 T3s KQT73 flush 4 0.01% 1 : 15515 99.86%
24 T2s KQT72 flush 4 0.01% 1 : 15515 99.85%
25 98s KQ987 flush 4 0.01% 1 : 15515 99.85%
26 96s KQ976 flush 4 0.01% 1 : 15515 99.84%
27 95s KQ975 flush 4 0.01% 1 : 15515 99.83%
28 94s KQ974 flush 4 0.01% 1 : 15515 99.83%
29 93s KQ973 flush 4 0.01% 1 : 15515 99.82%
30 92s KQ972 flush 4 0.01% 1 : 15515 99.81%
31 86s KQ876 flush 4 0.01% 1 : 15515 99.81%
32 85s KQ875 flush 4 0.01% 1 : 15515 99.80%
33 84s KQ874 flush 4 0.01% 1 : 15515 99.79%
34 83s KQ873 flush 4 0.01% 1 : 15515 99.79%
35 82s KQ872 flush 4 0.01% 1 : 15515 99.78%
36 65s KQ765 flush 4 0.01% 1 : 15515 99.77%
37 64s KQ764 flush 4 0.01% 1 : 15515 99.77%
38 63s KQ763 flush 4 0.01% 1 : 15515 99.76%
39 62s KQ762 flush 4 0.01% 1 : 15515 99.76%
40 54s KQ754 flush 4 0.01% 1 : 15515 99.75%
41 53s KQ753 flush 4 0.01% 1 : 15515 99.74%
42 52s KQ752 flush 4 0.01% 1 : 15515 99.74%
43 43s KQ743 flush 4 0.01% 1 : 15515 99.73%
44 42s KQ742 flush 4 0.01% 1 : 15515 99.72%
45 32s KQ732 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKQ7 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ KQQQ7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 KQ777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KQ KKQQ7 two pairs 144 0.23% 1 : 430 99.40%
50 K7 KKQ77 two pairs 144 0.23% 1 : 430 99.17%
51 Q7 KQQ77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKQ7 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKQ7 one pair 384 0.62% 1 : 161 98.09%
54 KJ KKQJ7 one pair 384 0.62% 1 : 161 97.47%
55 KT KKQT7 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKQ97 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKQ87 one pair 384 0.62% 1 : 161 95.61%
58 K6 KKQ76 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKQ75 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKQ74 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKQ73 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKQ72 one pair 384 0.62% 1 : 161 92.52%
63 AQ AKQQ7 one pair 384 0.62% 1 : 161 91.90%
64 QJ KQQJ7 one pair 384 0.62% 1 : 161 91.28%
65 QT KQQT7 one pair 384 0.62% 1 : 161 90.66%
66 Q9 KQQ97 one pair 384 0.62% 1 : 161 90.04%
67 Q8 KQQ87 one pair 384 0.62% 1 : 161 89.42%
68 Q6 KQQ76 one pair 384 0.62% 1 : 161 88.81%
69 Q5 KQQ75 one pair 384 0.62% 1 : 161 88.19%
70 Q4 KQQ74 one pair 384 0.62% 1 : 161 87.57%
71 Q3 KQQ73 one pair 384 0.62% 1 : 161 86.95%
72 Q2 KQQ72 one pair 384 0.62% 1 : 161 86.33%
73 JJ KQJJ7 one pair 384 0.62% 1 : 161 85.71%
74 TT KQTT7 one pair 384 0.62% 1 : 161 85.09%
75 99 KQ997 one pair 384 0.62% 1 : 161 84.47%
76 88 KQ887 one pair 384 0.62% 1 : 161 83.86%
77 A7 AKQ77 one pair 384 0.62% 1 : 161 83.24%
78 J7 KQJ77 one pair 384 0.62% 1 : 161 82.62%
79 T7 KQT77 one pair 384 0.62% 1 : 161 82.00%
80 97 KQ977 one pair 384 0.62% 1 : 161 81.38%
81 87 KQ877 one pair 384 0.62% 1 : 161 80.76%
82 76 KQ776 one pair 384 0.62% 1 : 161 80.14%
83 75 KQ775 one pair 384 0.62% 1 : 161 79.52%
84 74 KQ774 one pair 384 0.62% 1 : 161 78.91%
85 73 KQ773 one pair 384 0.62% 1 : 161 78.29%
86 72 KQ772 one pair 384 0.62% 1 : 161 77.67%
87 66 KQ766 one pair 384 0.62% 1 : 161 77.05%
88 55 KQ755 one pair 384 0.62% 1 : 161 76.43%
89 44 KQ744 one pair 384 0.62% 1 : 161 75.81%
90 33 KQ733 one pair 384 0.62% 1 : 161 75.19%
91 22 KQ722 one pair 384 0.62% 1 : 161 74.57%
 
92 AJ AKQJ7 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKQT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKQ97 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKQ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AKQ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKQ75 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKQ74 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKQ73 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKQ72 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT KQJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 KQJ97 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 KQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 KQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 KQJ75 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 KQJ74 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 KQJ73 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 KQJ72 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KQT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KQT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 KQT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 KQT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 KQT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KQT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KQT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KQ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 KQ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KQ975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KQ974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KQ973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KQ972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 KQ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 KQ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KQ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KQ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KQ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KQ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KQ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KQ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KQ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KQ754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KQ753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KQ752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KQ743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KQ742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KQ732 high card 1,020 1.64% 1 : 59.8 1.64%