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 AKQJ5 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKQT5 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKQ95 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKQ85 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKQ75 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKQ65 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKQ54 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKQ53 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQ52 flush 4 0.01% 1 : 15515 99.95%
10 JTs AQJT5 flush 4 0.01% 1 : 15515 99.94%
11 J9s AQJ95 flush 4 0.01% 1 : 15515 99.94%
12 J8s AQJ85 flush 4 0.01% 1 : 15515 99.93%
13 J7s AQJ75 flush 4 0.01% 1 : 15515 99.92%
14 J6s AQJ65 flush 4 0.01% 1 : 15515 99.92%
15 J4s AQJ54 flush 4 0.01% 1 : 15515 99.91%
16 J3s AQJ53 flush 4 0.01% 1 : 15515 99.90%
17 J2s AQJ52 flush 4 0.01% 1 : 15515 99.90%
18 T9s AQT95 flush 4 0.01% 1 : 15515 99.89%
19 T8s AQT85 flush 4 0.01% 1 : 15515 99.88%
20 T7s AQT75 flush 4 0.01% 1 : 15515 99.88%
21 T6s AQT65 flush 4 0.01% 1 : 15515 99.87%
22 T4s AQT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s AQT53 flush 4 0.01% 1 : 15515 99.86%
24 T2s AQT52 flush 4 0.01% 1 : 15515 99.85%
25 98s AQ985 flush 4 0.01% 1 : 15515 99.85%
26 97s AQ975 flush 4 0.01% 1 : 15515 99.84%
27 96s AQ965 flush 4 0.01% 1 : 15515 99.83%
28 94s AQ954 flush 4 0.01% 1 : 15515 99.83%
29 93s AQ953 flush 4 0.01% 1 : 15515 99.82%
30 92s AQ952 flush 4 0.01% 1 : 15515 99.81%
31 87s AQ875 flush 4 0.01% 1 : 15515 99.81%
32 86s AQ865 flush 4 0.01% 1 : 15515 99.80%
33 84s AQ854 flush 4 0.01% 1 : 15515 99.79%
34 83s AQ853 flush 4 0.01% 1 : 15515 99.79%
35 82s AQ852 flush 4 0.01% 1 : 15515 99.78%
36 76s AQ765 flush 4 0.01% 1 : 15515 99.77%
37 74s AQ754 flush 4 0.01% 1 : 15515 99.77%
38 73s AQ753 flush 4 0.01% 1 : 15515 99.76%
39 72s AQ752 flush 4 0.01% 1 : 15515 99.76%
40 64s AQ654 flush 4 0.01% 1 : 15515 99.75%
41 63s AQ653 flush 4 0.01% 1 : 15515 99.74%
42 62s AQ652 flush 4 0.01% 1 : 15515 99.74%
43 43s AQ543 flush 4 0.01% 1 : 15515 99.73%
44 42s AQ542 flush 4 0.01% 1 : 15515 99.72%
45 32s AQ532 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAQ5 three of a kind 64 0.10% 1 : 969 99.71%
47 QQ AQQQ5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 AQ555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AQ AAQQ5 two pairs 144 0.23% 1 : 430 99.40%
50 A5 AAQ55 two pairs 144 0.23% 1 : 430 99.17%
51 Q5 AQQ55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKQ5 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAQJ5 one pair 384 0.62% 1 : 161 98.09%
54 AT AAQT5 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAQ95 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAQ85 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAQ75 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAQ65 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAQ54 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAQ53 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAQ52 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKQ5 one pair 384 0.62% 1 : 161 92.52%
63 KQ AKQQ5 one pair 384 0.62% 1 : 161 91.90%
64 QJ AQQJ5 one pair 384 0.62% 1 : 161 91.28%
65 QT AQQT5 one pair 384 0.62% 1 : 161 90.66%
66 Q9 AQQ95 one pair 384 0.62% 1 : 161 90.04%
67 Q8 AQQ85 one pair 384 0.62% 1 : 161 89.42%
68 Q7 AQQ75 one pair 384 0.62% 1 : 161 88.81%
69 Q6 AQQ65 one pair 384 0.62% 1 : 161 88.19%
70 Q4 AQQ54 one pair 384 0.62% 1 : 161 87.57%
71 Q3 AQQ53 one pair 384 0.62% 1 : 161 86.95%
72 Q2 AQQ52 one pair 384 0.62% 1 : 161 86.33%
73 JJ AQJJ5 one pair 384 0.62% 1 : 161 85.71%
74 TT AQTT5 one pair 384 0.62% 1 : 161 85.09%
75 99 AQ995 one pair 384 0.62% 1 : 161 84.47%
76 88 AQ885 one pair 384 0.62% 1 : 161 83.86%
77 77 AQ775 one pair 384 0.62% 1 : 161 83.24%
78 66 AQ665 one pair 384 0.62% 1 : 161 82.62%
79 K5 AKQ55 one pair 384 0.62% 1 : 161 82.00%
80 J5 AQJ55 one pair 384 0.62% 1 : 161 81.38%
81 T5 AQT55 one pair 384 0.62% 1 : 161 80.76%
82 95 AQ955 one pair 384 0.62% 1 : 161 80.14%
83 85 AQ855 one pair 384 0.62% 1 : 161 79.52%
84 75 AQ755 one pair 384 0.62% 1 : 161 78.91%
85 65 AQ655 one pair 384 0.62% 1 : 161 78.29%
86 54 AQ554 one pair 384 0.62% 1 : 161 77.67%
87 53 AQ553 one pair 384 0.62% 1 : 161 77.05%
88 52 AQ552 one pair 384 0.62% 1 : 161 76.43%
89 44 AQ544 one pair 384 0.62% 1 : 161 75.81%
90 33 AQ533 one pair 384 0.62% 1 : 161 75.19%
91 22 AQ522 one pair 384 0.62% 1 : 161 74.57%
 
92 KJ AKQJ5 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKQT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKQ95 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKQ85 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKQ75 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKQ65 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKQ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKQ53 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQ52 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AQJ95 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AQJ85 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AQJ75 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 AQJ65 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AQJ53 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AQJ52 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AQT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AQT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AQT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AQT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AQT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AQT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AQT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AQ985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AQ975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AQ965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AQ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AQ953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AQ952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AQ875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AQ865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AQ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AQ853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AQ852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AQ765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 AQ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AQ753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AQ752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 AQ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 AQ653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AQ652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AQ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AQ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AQ532 high card 1,020 1.64% 1 : 59.8 1.64%