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 AKQJ7 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKQT7 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKQ97 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKQ87 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKQ76 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKQ75 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKQ74 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKQ73 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQ72 flush 4 0.01% 1 : 15515 99.95%
10 JTs AQJT7 flush 4 0.01% 1 : 15515 99.94%
11 J9s AQJ97 flush 4 0.01% 1 : 15515 99.94%
12 J8s AQJ87 flush 4 0.01% 1 : 15515 99.93%
13 J6s AQJ76 flush 4 0.01% 1 : 15515 99.92%
14 J5s AQJ75 flush 4 0.01% 1 : 15515 99.92%
15 J4s AQJ74 flush 4 0.01% 1 : 15515 99.91%
16 J3s AQJ73 flush 4 0.01% 1 : 15515 99.90%
17 J2s AQJ72 flush 4 0.01% 1 : 15515 99.90%
18 T9s AQT97 flush 4 0.01% 1 : 15515 99.89%
19 T8s AQT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s AQT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s AQT75 flush 4 0.01% 1 : 15515 99.87%
22 T4s AQT74 flush 4 0.01% 1 : 15515 99.86%
23 T3s AQT73 flush 4 0.01% 1 : 15515 99.86%
24 T2s AQT72 flush 4 0.01% 1 : 15515 99.85%
25 98s AQ987 flush 4 0.01% 1 : 15515 99.85%
26 96s AQ976 flush 4 0.01% 1 : 15515 99.84%
27 95s AQ975 flush 4 0.01% 1 : 15515 99.83%
28 94s AQ974 flush 4 0.01% 1 : 15515 99.83%
29 93s AQ973 flush 4 0.01% 1 : 15515 99.82%
30 92s AQ972 flush 4 0.01% 1 : 15515 99.81%
31 86s AQ876 flush 4 0.01% 1 : 15515 99.81%
32 85s AQ875 flush 4 0.01% 1 : 15515 99.80%
33 84s AQ874 flush 4 0.01% 1 : 15515 99.79%
34 83s AQ873 flush 4 0.01% 1 : 15515 99.79%
35 82s AQ872 flush 4 0.01% 1 : 15515 99.78%
36 65s AQ765 flush 4 0.01% 1 : 15515 99.77%
37 64s AQ764 flush 4 0.01% 1 : 15515 99.77%
38 63s AQ763 flush 4 0.01% 1 : 15515 99.76%
39 62s AQ762 flush 4 0.01% 1 : 15515 99.76%
40 54s AQ754 flush 4 0.01% 1 : 15515 99.75%
41 53s AQ753 flush 4 0.01% 1 : 15515 99.74%
42 52s AQ752 flush 4 0.01% 1 : 15515 99.74%
43 43s AQ743 flush 4 0.01% 1 : 15515 99.73%
44 42s AQ742 flush 4 0.01% 1 : 15515 99.72%
45 32s AQ732 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAQ7 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ AQQQ7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 AQ777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AQ AAQQ7 two pairs 144 0.23% 1 : 430 99.40%
50 A7 AAQ77 two pairs 144 0.23% 1 : 430 99.17%
51 Q7 AQQ77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKQ7 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAQJ7 one pair 384 0.62% 1 : 161 98.09%
54 AT AAQT7 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAQ97 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAQ87 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAQ76 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAQ75 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAQ74 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAQ73 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAQ72 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKQ7 one pair 384 0.62% 1 : 161 92.52%
63 KQ AKQQ7 one pair 384 0.62% 1 : 161 91.90%
64 QJ AQQJ7 one pair 384 0.62% 1 : 161 91.28%
65 QT AQQT7 one pair 384 0.62% 1 : 161 90.66%
66 Q9 AQQ97 one pair 384 0.62% 1 : 161 90.04%
67 Q8 AQQ87 one pair 384 0.62% 1 : 161 89.42%
68 Q6 AQQ76 one pair 384 0.62% 1 : 161 88.81%
69 Q5 AQQ75 one pair 384 0.62% 1 : 161 88.19%
70 Q4 AQQ74 one pair 384 0.62% 1 : 161 87.57%
71 Q3 AQQ73 one pair 384 0.62% 1 : 161 86.95%
72 Q2 AQQ72 one pair 384 0.62% 1 : 161 86.33%
73 JJ AQJJ7 one pair 384 0.62% 1 : 161 85.71%
74 TT AQTT7 one pair 384 0.62% 1 : 161 85.09%
75 99 AQ997 one pair 384 0.62% 1 : 161 84.47%
76 88 AQ887 one pair 384 0.62% 1 : 161 83.86%
77 K7 AKQ77 one pair 384 0.62% 1 : 161 83.24%
78 J7 AQJ77 one pair 384 0.62% 1 : 161 82.62%
79 T7 AQT77 one pair 384 0.62% 1 : 161 82.00%
80 97 AQ977 one pair 384 0.62% 1 : 161 81.38%
81 87 AQ877 one pair 384 0.62% 1 : 161 80.76%
82 76 AQ776 one pair 384 0.62% 1 : 161 80.14%
83 75 AQ775 one pair 384 0.62% 1 : 161 79.52%
84 74 AQ774 one pair 384 0.62% 1 : 161 78.91%
85 73 AQ773 one pair 384 0.62% 1 : 161 78.29%
86 72 AQ772 one pair 384 0.62% 1 : 161 77.67%
87 66 AQ766 one pair 384 0.62% 1 : 161 77.05%
88 55 AQ755 one pair 384 0.62% 1 : 161 76.43%
89 44 AQ744 one pair 384 0.62% 1 : 161 75.81%
90 33 AQ733 one pair 384 0.62% 1 : 161 75.19%
91 22 AQ722 one pair 384 0.62% 1 : 161 74.57%
 
92 KJ AKQJ7 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKQT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKQ97 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKQ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKQ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKQ75 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKQ74 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKQ73 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQ72 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AQJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AQJ97 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AQJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 AQJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AQJ75 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AQJ74 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AQJ73 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AQJ72 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AQT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AQT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AQT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AQT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AQT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AQT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AQT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AQ987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 AQ976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AQ975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AQ974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AQ973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AQ972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 AQ876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 AQ875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AQ874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AQ873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AQ872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AQ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AQ764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AQ763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AQ762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AQ754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AQ753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AQ752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AQ743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AQ742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AQ732 high card 1,020 1.64% 1 : 59.8 1.64%