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 AKQ65 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ65 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT65 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ965 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ865 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQ765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQ654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ653 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ652 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ65 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT65 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ965 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ865 flush 4 0.01% 1 : 15515 99.92%
14 K7s KQ765 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQ654 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ653 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ652 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT65 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ965 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ865 flush 4 0.01% 1 : 15515 99.88%
21 J7s QJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ654 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ653 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ652 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT965 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT865 flush 4 0.01% 1 : 15515 99.84%
27 T7s QT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT653 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT652 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9865 flush 4 0.01% 1 : 15515 99.81%
32 97s Q9765 flush 4 0.01% 1 : 15515 99.80%
33 94s Q9654 flush 4 0.01% 1 : 15515 99.79%
34 93s Q9653 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9652 flush 4 0.01% 1 : 15515 99.78%
36 87s Q8765 flush 4 0.01% 1 : 15515 99.77%
37 84s Q8654 flush 4 0.01% 1 : 15515 99.77%
38 83s Q8653 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8652 flush 4 0.01% 1 : 15515 99.76%
40 74s Q7654 flush 4 0.01% 1 : 15515 99.75%
41 73s Q7653 flush 4 0.01% 1 : 15515 99.74%
42 72s Q7652 flush 4 0.01% 1 : 15515 99.74%
43 43s Q6543 flush 4 0.01% 1 : 15515 99.73%
44 42s Q6542 flush 4 0.01% 1 : 15515 99.72%
45 32s Q6532 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ65 three of a kind 64 0.10% 1 : 969 99.71%
47 66 Q6665 three of a kind 64 0.10% 1 : 969 99.61%
48 55 Q6555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q6 QQ665 two pairs 144 0.23% 1 : 430 99.40%
50 Q5 QQ655 two pairs 144 0.23% 1 : 430 99.17%
51 65 Q6655 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ65 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ65 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ65 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ65 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ65 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT65 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ965 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ865 one pair 384 0.62% 1 : 161 94.37%
60 Q7 QQ765 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQ654 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ653 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ652 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ65 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT65 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9965 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8865 one pair 384 0.62% 1 : 161 89.42%
68 77 Q7765 one pair 384 0.62% 1 : 161 88.81%
69 A6 AQ665 one pair 384 0.62% 1 : 161 88.19%
70 K6 KQ665 one pair 384 0.62% 1 : 161 87.57%
71 J6 QJ665 one pair 384 0.62% 1 : 161 86.95%
72 T6 QT665 one pair 384 0.62% 1 : 161 86.33%
73 96 Q9665 one pair 384 0.62% 1 : 161 85.71%
74 86 Q8665 one pair 384 0.62% 1 : 161 85.09%
75 76 Q7665 one pair 384 0.62% 1 : 161 84.47%
76 64 Q6654 one pair 384 0.62% 1 : 161 83.86%
77 63 Q6653 one pair 384 0.62% 1 : 161 83.24%
78 62 Q6652 one pair 384 0.62% 1 : 161 82.62%
79 A5 AQ655 one pair 384 0.62% 1 : 161 82.00%
80 K5 KQ655 one pair 384 0.62% 1 : 161 81.38%
81 J5 QJ655 one pair 384 0.62% 1 : 161 80.76%
82 T5 QT655 one pair 384 0.62% 1 : 161 80.14%
83 95 Q9655 one pair 384 0.62% 1 : 161 79.52%
84 85 Q8655 one pair 384 0.62% 1 : 161 78.91%
85 75 Q7655 one pair 384 0.62% 1 : 161 78.29%
86 54 Q6554 one pair 384 0.62% 1 : 161 77.67%
87 53 Q6553 one pair 384 0.62% 1 : 161 77.05%
88 52 Q6552 one pair 384 0.62% 1 : 161 76.43%
89 44 Q6544 one pair 384 0.62% 1 : 161 75.81%
90 33 Q6533 one pair 384 0.62% 1 : 161 75.19%
91 22 Q6522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ65 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ65 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT65 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ965 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ865 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQ765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQ654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ653 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ652 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ65 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT65 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ965 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ865 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ653 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ652 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT65 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ965 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ865 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 QJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ653 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ652 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT965 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT865 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 QT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT653 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT652 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9865 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 Q9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 Q9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 Q9653 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9652 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 Q8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 Q8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 Q8653 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8652 high card 1,020 1.64% 1 : 59.8 11.50%
131 74 Q7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 Q7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 Q7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q6532 high card 1,020 1.64% 1 : 59.8 1.64%