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 AKs AKQJ5 flush 4 0.01% 1 : 15515 100.00%
2 ATs AQJT5 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQJ95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQJ85 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQJ75 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQJ65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQJ54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQJ53 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQJ52 flush 4 0.01% 1 : 15515 99.95%
10 KTs KQJT5 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQJ95 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQJ85 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQJ75 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQJ65 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQJ54 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQJ53 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQJ52 flush 4 0.01% 1 : 15515 99.90%
18 T9s QJT95 flush 4 0.01% 1 : 15515 99.89%
19 T8s QJT85 flush 4 0.01% 1 : 15515 99.88%
20 T7s QJT75 flush 4 0.01% 1 : 15515 99.88%
21 T6s QJT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s QJT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s QJT53 flush 4 0.01% 1 : 15515 99.86%
24 T2s QJT52 flush 4 0.01% 1 : 15515 99.85%
25 98s QJ985 flush 4 0.01% 1 : 15515 99.85%
26 97s QJ975 flush 4 0.01% 1 : 15515 99.84%
27 96s QJ965 flush 4 0.01% 1 : 15515 99.83%
28 94s QJ954 flush 4 0.01% 1 : 15515 99.83%
29 93s QJ953 flush 4 0.01% 1 : 15515 99.82%
30 92s QJ952 flush 4 0.01% 1 : 15515 99.81%
31 87s QJ875 flush 4 0.01% 1 : 15515 99.81%
32 86s QJ865 flush 4 0.01% 1 : 15515 99.80%
33 84s QJ854 flush 4 0.01% 1 : 15515 99.79%
34 83s QJ853 flush 4 0.01% 1 : 15515 99.79%
35 82s QJ852 flush 4 0.01% 1 : 15515 99.78%
36 76s QJ765 flush 4 0.01% 1 : 15515 99.77%
37 74s QJ754 flush 4 0.01% 1 : 15515 99.77%
38 73s QJ753 flush 4 0.01% 1 : 15515 99.76%
39 72s QJ752 flush 4 0.01% 1 : 15515 99.76%
40 64s QJ654 flush 4 0.01% 1 : 15515 99.75%
41 63s QJ653 flush 4 0.01% 1 : 15515 99.74%
42 62s QJ652 flush 4 0.01% 1 : 15515 99.74%
43 43s QJ543 flush 4 0.01% 1 : 15515 99.73%
44 42s QJ542 flush 4 0.01% 1 : 15515 99.72%
45 32s QJ532 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQJ5 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ QJJJ5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 QJ555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QJ QQJJ5 two pairs 144 0.23% 1 : 430 99.40%
50 Q5 QQJ55 two pairs 144 0.23% 1 : 430 99.17%
51 J5 QJJ55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQJ5 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQJ5 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQJ5 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQJ5 one pair 384 0.62% 1 : 161 96.85%
56 QT QQJT5 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQJ95 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQJ85 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQJ75 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQJ65 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQJ54 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQJ53 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQJ52 one pair 384 0.62% 1 : 161 91.90%
64 AJ AQJJ5 one pair 384 0.62% 1 : 161 91.28%
65 KJ KQJJ5 one pair 384 0.62% 1 : 161 90.66%
66 JT QJJT5 one pair 384 0.62% 1 : 161 90.04%
67 J9 QJJ95 one pair 384 0.62% 1 : 161 89.42%
68 J8 QJJ85 one pair 384 0.62% 1 : 161 88.81%
69 J7 QJJ75 one pair 384 0.62% 1 : 161 88.19%
70 J6 QJJ65 one pair 384 0.62% 1 : 161 87.57%
71 J4 QJJ54 one pair 384 0.62% 1 : 161 86.95%
72 J3 QJJ53 one pair 384 0.62% 1 : 161 86.33%
73 J2 QJJ52 one pair 384 0.62% 1 : 161 85.71%
74 TT QJTT5 one pair 384 0.62% 1 : 161 85.09%
75 99 QJ995 one pair 384 0.62% 1 : 161 84.47%
76 88 QJ885 one pair 384 0.62% 1 : 161 83.86%
77 77 QJ775 one pair 384 0.62% 1 : 161 83.24%
78 66 QJ665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AQJ55 one pair 384 0.62% 1 : 161 82.00%
80 K5 KQJ55 one pair 384 0.62% 1 : 161 81.38%
81 T5 QJT55 one pair 384 0.62% 1 : 161 80.76%
82 95 QJ955 one pair 384 0.62% 1 : 161 80.14%
83 85 QJ855 one pair 384 0.62% 1 : 161 79.52%
84 75 QJ755 one pair 384 0.62% 1 : 161 78.91%
85 65 QJ655 one pair 384 0.62% 1 : 161 78.29%
86 54 QJ554 one pair 384 0.62% 1 : 161 77.67%
87 53 QJ553 one pair 384 0.62% 1 : 161 77.05%
88 52 QJ552 one pair 384 0.62% 1 : 161 76.43%
89 44 QJ544 one pair 384 0.62% 1 : 161 75.81%
90 33 QJ533 one pair 384 0.62% 1 : 161 75.19%
91 22 QJ522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQJ5 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AQJT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQJ95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQJ85 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQJ75 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQJ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQJ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQJ53 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQJ52 high card 1,020 1.64% 1 : 59.8 60.81%
101 KT KQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQJ95 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQJ85 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQJ75 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQJ53 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQJ52 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 QJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 QJT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 QJT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 QJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 QJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 QJT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 QJT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QJ985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QJ975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 QJ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 QJ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QJ953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QJ952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QJ875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 QJ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 QJ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 QJ853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QJ852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 QJ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 QJ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 QJ753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 QJ752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 QJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 QJ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 QJ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QJ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QJ532 high card 1,020 1.64% 1 : 59.8 1.64%