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 KQs AKQJ5 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKJT5 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKJ95 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKJ85 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKJ75 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKJ65 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKJ54 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKJ53 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKJ52 flush 4 0.01% 1 : 15515 99.95%
10 QTs AQJT5 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQJ95 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQJ85 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQJ75 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQJ65 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQJ54 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQJ53 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQJ52 flush 4 0.01% 1 : 15515 99.90%
18 T9s AJT95 flush 4 0.01% 1 : 15515 99.89%
19 T8s AJT85 flush 4 0.01% 1 : 15515 99.88%
20 T7s AJT75 flush 4 0.01% 1 : 15515 99.88%
21 T6s AJT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s AJT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s AJT53 flush 4 0.01% 1 : 15515 99.86%
24 T2s AJT52 flush 4 0.01% 1 : 15515 99.85%
25 98s AJ985 flush 4 0.01% 1 : 15515 99.85%
26 97s AJ975 flush 4 0.01% 1 : 15515 99.84%
27 96s AJ965 flush 4 0.01% 1 : 15515 99.83%
28 94s AJ954 flush 4 0.01% 1 : 15515 99.83%
29 93s AJ953 flush 4 0.01% 1 : 15515 99.82%
30 92s AJ952 flush 4 0.01% 1 : 15515 99.81%
31 87s AJ875 flush 4 0.01% 1 : 15515 99.81%
32 86s AJ865 flush 4 0.01% 1 : 15515 99.80%
33 84s AJ854 flush 4 0.01% 1 : 15515 99.79%
34 83s AJ853 flush 4 0.01% 1 : 15515 99.79%
35 82s AJ852 flush 4 0.01% 1 : 15515 99.78%
36 76s AJ765 flush 4 0.01% 1 : 15515 99.77%
37 74s AJ754 flush 4 0.01% 1 : 15515 99.77%
38 73s AJ753 flush 4 0.01% 1 : 15515 99.76%
39 72s AJ752 flush 4 0.01% 1 : 15515 99.76%
40 64s AJ654 flush 4 0.01% 1 : 15515 99.75%
41 63s AJ653 flush 4 0.01% 1 : 15515 99.74%
42 62s AJ652 flush 4 0.01% 1 : 15515 99.74%
43 43s AJ543 flush 4 0.01% 1 : 15515 99.73%
44 42s AJ542 flush 4 0.01% 1 : 15515 99.72%
45 32s AJ532 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAJ5 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ AJJJ5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 AJ555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AJ AAJJ5 two pairs 144 0.23% 1 : 430 99.40%
50 A5 AAJ55 two pairs 144 0.23% 1 : 430 99.17%
51 J5 AJJ55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKJ5 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQJ5 one pair 384 0.62% 1 : 161 98.09%
54 AT AAJT5 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAJ95 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAJ85 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAJ75 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAJ65 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAJ54 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAJ53 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAJ52 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKJ5 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQJ5 one pair 384 0.62% 1 : 161 91.90%
64 KJ AKJJ5 one pair 384 0.62% 1 : 161 91.28%
65 QJ AQJJ5 one pair 384 0.62% 1 : 161 90.66%
66 JT AJJT5 one pair 384 0.62% 1 : 161 90.04%
67 J9 AJJ95 one pair 384 0.62% 1 : 161 89.42%
68 J8 AJJ85 one pair 384 0.62% 1 : 161 88.81%
69 J7 AJJ75 one pair 384 0.62% 1 : 161 88.19%
70 J6 AJJ65 one pair 384 0.62% 1 : 161 87.57%
71 J4 AJJ54 one pair 384 0.62% 1 : 161 86.95%
72 J3 AJJ53 one pair 384 0.62% 1 : 161 86.33%
73 J2 AJJ52 one pair 384 0.62% 1 : 161 85.71%
74 TT AJTT5 one pair 384 0.62% 1 : 161 85.09%
75 99 AJ995 one pair 384 0.62% 1 : 161 84.47%
76 88 AJ885 one pair 384 0.62% 1 : 161 83.86%
77 77 AJ775 one pair 384 0.62% 1 : 161 83.24%
78 66 AJ665 one pair 384 0.62% 1 : 161 82.62%
79 K5 AKJ55 one pair 384 0.62% 1 : 161 82.00%
80 Q5 AQJ55 one pair 384 0.62% 1 : 161 81.38%
81 T5 AJT55 one pair 384 0.62% 1 : 161 80.76%
82 95 AJ955 one pair 384 0.62% 1 : 161 80.14%
83 85 AJ855 one pair 384 0.62% 1 : 161 79.52%
84 75 AJ755 one pair 384 0.62% 1 : 161 78.91%
85 65 AJ655 one pair 384 0.62% 1 : 161 78.29%
86 54 AJ554 one pair 384 0.62% 1 : 161 77.67%
87 53 AJ553 one pair 384 0.62% 1 : 161 77.05%
88 52 AJ552 one pair 384 0.62% 1 : 161 76.43%
89 44 AJ544 one pair 384 0.62% 1 : 161 75.81%
90 33 AJ533 one pair 384 0.62% 1 : 161 75.19%
91 22 AJ522 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQJ5 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKJT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKJ95 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKJ85 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKJ75 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKJ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKJ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKJ53 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKJ52 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT AQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQJ95 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQJ85 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQJ75 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQJ53 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQJ52 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AJT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AJT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AJT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AJT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AJ985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AJ975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AJ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AJ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AJ953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AJ952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AJ875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AJ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AJ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AJ853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AJ852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 AJ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AJ753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AJ752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 AJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 AJ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AJ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AJ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AJ532 high card 1,020 1.64% 1 : 59.8 1.64%