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 AKQ95 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ95 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQ985 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ975 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ965 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQ954 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ953 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ952 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ95 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT95 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQ985 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ975 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ965 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQ954 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ953 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ952 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT95 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJ985 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ975 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ965 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ954 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ953 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ952 flush 4 0.01% 1 : 15515 99.85%
25 T8s QT985 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT975 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT965 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT954 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT953 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT952 flush 4 0.01% 1 : 15515 99.81%
31 87s Q9875 flush 4 0.01% 1 : 15515 99.81%
32 86s Q9865 flush 4 0.01% 1 : 15515 99.80%
33 84s Q9854 flush 4 0.01% 1 : 15515 99.79%
34 83s Q9853 flush 4 0.01% 1 : 15515 99.79%
35 82s Q9852 flush 4 0.01% 1 : 15515 99.78%
36 76s Q9765 flush 4 0.01% 1 : 15515 99.77%
37 74s Q9754 flush 4 0.01% 1 : 15515 99.77%
38 73s Q9753 flush 4 0.01% 1 : 15515 99.76%
39 72s Q9752 flush 4 0.01% 1 : 15515 99.76%
40 64s Q9654 flush 4 0.01% 1 : 15515 99.75%
41 63s Q9653 flush 4 0.01% 1 : 15515 99.74%
42 62s Q9652 flush 4 0.01% 1 : 15515 99.74%
43 43s Q9543 flush 4 0.01% 1 : 15515 99.73%
44 42s Q9542 flush 4 0.01% 1 : 15515 99.72%
45 32s Q9532 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ95 three of a kind 64 0.10% 1 : 969 99.71%
47 99 Q9995 three of a kind 64 0.10% 1 : 969 99.61%
48 55 Q9555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q9 QQ995 two pairs 144 0.23% 1 : 430 99.40%
50 Q5 QQ955 two pairs 144 0.23% 1 : 430 99.17%
51 95 Q9955 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ95 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ95 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ95 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ95 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ95 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT95 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQ985 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ975 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ965 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQ954 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ953 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ952 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ95 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT95 one pair 384 0.62% 1 : 161 90.66%
66 A9 AQ995 one pair 384 0.62% 1 : 161 90.04%
67 K9 KQ995 one pair 384 0.62% 1 : 161 89.42%
68 J9 QJ995 one pair 384 0.62% 1 : 161 88.81%
69 T9 QT995 one pair 384 0.62% 1 : 161 88.19%
70 98 Q9985 one pair 384 0.62% 1 : 161 87.57%
71 97 Q9975 one pair 384 0.62% 1 : 161 86.95%
72 96 Q9965 one pair 384 0.62% 1 : 161 86.33%
73 94 Q9954 one pair 384 0.62% 1 : 161 85.71%
74 93 Q9953 one pair 384 0.62% 1 : 161 85.09%
75 92 Q9952 one pair 384 0.62% 1 : 161 84.47%
76 88 Q9885 one pair 384 0.62% 1 : 161 83.86%
77 77 Q9775 one pair 384 0.62% 1 : 161 83.24%
78 66 Q9665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AQ955 one pair 384 0.62% 1 : 161 82.00%
80 K5 KQ955 one pair 384 0.62% 1 : 161 81.38%
81 J5 QJ955 one pair 384 0.62% 1 : 161 80.76%
82 T5 QT955 one pair 384 0.62% 1 : 161 80.14%
83 85 Q9855 one pair 384 0.62% 1 : 161 79.52%
84 75 Q9755 one pair 384 0.62% 1 : 161 78.91%
85 65 Q9655 one pair 384 0.62% 1 : 161 78.29%
86 54 Q9554 one pair 384 0.62% 1 : 161 77.67%
87 53 Q9553 one pair 384 0.62% 1 : 161 77.05%
88 52 Q9552 one pair 384 0.62% 1 : 161 76.43%
89 44 Q9544 one pair 384 0.62% 1 : 161 75.81%
90 33 Q9533 one pair 384 0.62% 1 : 161 75.19%
91 22 Q9522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ95 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ95 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQ985 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ975 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ965 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQ954 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ953 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ952 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ95 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQ985 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ975 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ965 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQ954 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ953 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ952 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJ985 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ975 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ965 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ954 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ953 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ952 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 QT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 Q9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 Q9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 Q9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 Q9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 Q9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 Q9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 Q9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 Q9753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 Q9752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 Q9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 Q9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 Q9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q9532 high card 1,020 1.64% 1 : 59.8 1.64%