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 AK862 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ862 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ862 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT862 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9862 flush 4 0.01% 1 : 15515 99.97%
6 A7s A8762 flush 4 0.01% 1 : 15515 99.97%
7 A5s A8652 flush 4 0.01% 1 : 15515 99.96%
8 A4s A8642 flush 4 0.01% 1 : 15515 99.95%
9 A3s A8632 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ862 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ862 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT862 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9862 flush 4 0.01% 1 : 15515 99.92%
14 K7s K8762 flush 4 0.01% 1 : 15515 99.92%
15 K5s K8652 flush 4 0.01% 1 : 15515 99.91%
16 K4s K8642 flush 4 0.01% 1 : 15515 99.90%
17 K3s K8632 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ862 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT862 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9862 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q8762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q8652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q8642 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q8632 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT862 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9862 flush 4 0.01% 1 : 15515 99.84%
27 J7s J8762 flush 4 0.01% 1 : 15515 99.83%
28 J5s J8652 flush 4 0.01% 1 : 15515 99.83%
29 J4s J8642 flush 4 0.01% 1 : 15515 99.82%
30 J3s J8632 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9862 flush 4 0.01% 1 : 15515 99.81%
32 T7s T8762 flush 4 0.01% 1 : 15515 99.80%
33 T5s T8652 flush 4 0.01% 1 : 15515 99.79%
34 T4s T8642 flush 4 0.01% 1 : 15515 99.79%
35 T3s T8632 flush 4 0.01% 1 : 15515 99.78%
36 97s 98762 flush 4 0.01% 1 : 15515 99.77%
37 95s 98652 flush 4 0.01% 1 : 15515 99.77%
38 94s 98642 flush 4 0.01% 1 : 15515 99.76%
39 93s 98632 flush 4 0.01% 1 : 15515 99.76%
40 75s 87652 flush 4 0.01% 1 : 15515 99.75%
41 74s 87642 flush 4 0.01% 1 : 15515 99.74%
42 73s 87632 flush 4 0.01% 1 : 15515 99.74%
43 54s 86542 flush 4 0.01% 1 : 15515 99.73%
44 53s 86532 flush 4 0.01% 1 : 15515 99.72%
45 43s 86432 flush 4 0.01% 1 : 15515 99.72%
 
46 88 88862 three of a kind 64 0.10% 1 : 969 99.71%
47 66 86662 three of a kind 64 0.10% 1 : 969 99.61%
48 22 86222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 86 88662 two pairs 144 0.23% 1 : 430 99.40%
50 82 88622 two pairs 144 0.23% 1 : 430 99.17%
51 62 86622 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA862 one pair 384 0.62% 1 : 161 98.70%
53 KK KK862 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ862 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ862 one pair 384 0.62% 1 : 161 96.85%
56 TT TT862 one pair 384 0.62% 1 : 161 96.23%
57 99 99862 one pair 384 0.62% 1 : 161 95.61%
58 A8 A8862 one pair 384 0.62% 1 : 161 94.99%
59 K8 K8862 one pair 384 0.62% 1 : 161 94.37%
60 Q8 Q8862 one pair 384 0.62% 1 : 161 93.75%
61 J8 J8862 one pair 384 0.62% 1 : 161 93.14%
62 T8 T8862 one pair 384 0.62% 1 : 161 92.52%
63 98 98862 one pair 384 0.62% 1 : 161 91.90%
64 87 88762 one pair 384 0.62% 1 : 161 91.28%
65 85 88652 one pair 384 0.62% 1 : 161 90.66%
66 84 88642 one pair 384 0.62% 1 : 161 90.04%
67 83 88632 one pair 384 0.62% 1 : 161 89.42%
68 77 87762 one pair 384 0.62% 1 : 161 88.81%
69 A6 A8662 one pair 384 0.62% 1 : 161 88.19%
70 K6 K8662 one pair 384 0.62% 1 : 161 87.57%
71 Q6 Q8662 one pair 384 0.62% 1 : 161 86.95%
72 J6 J8662 one pair 384 0.62% 1 : 161 86.33%
73 T6 T8662 one pair 384 0.62% 1 : 161 85.71%
74 96 98662 one pair 384 0.62% 1 : 161 85.09%
75 76 87662 one pair 384 0.62% 1 : 161 84.47%
76 65 86652 one pair 384 0.62% 1 : 161 83.86%
77 64 86642 one pair 384 0.62% 1 : 161 83.24%
78 63 86632 one pair 384 0.62% 1 : 161 82.62%
79 55 86552 one pair 384 0.62% 1 : 161 82.00%
80 44 86442 one pair 384 0.62% 1 : 161 81.38%
81 33 86332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A8622 one pair 384 0.62% 1 : 161 80.14%
83 K2 K8622 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q8622 one pair 384 0.62% 1 : 161 78.91%
85 J2 J8622 one pair 384 0.62% 1 : 161 78.29%
86 T2 T8622 one pair 384 0.62% 1 : 161 77.67%
87 92 98622 one pair 384 0.62% 1 : 161 77.05%
88 72 87622 one pair 384 0.62% 1 : 161 76.43%
89 52 86522 one pair 384 0.62% 1 : 161 75.81%
90 42 86422 one pair 384 0.62% 1 : 161 75.19%
91 32 86322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK862 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ862 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ862 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT862 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9862 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A8762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A8652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A8642 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A8632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ862 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ862 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT862 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9862 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K8762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K8652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K8642 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K8632 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ862 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT862 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9862 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q8762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q8652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q8642 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q8632 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT862 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9862 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J8762 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J8652 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J8642 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J8632 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9862 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T8762 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T8652 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T8642 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T8632 high card 1,020 1.64% 1 : 59.8 18.08%
127 97 98762 high card 1,020 1.64% 1 : 59.8 16.43%
128 95 98652 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 98642 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 98632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 87652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 87642 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 87632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 86542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 86532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 86432 high card 1,020 1.64% 1 : 59.8 1.64%