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 AKJ64 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ64 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT64 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ964 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ864 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ764 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ643 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ642 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ64 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT64 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ964 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ864 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ764 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ654 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ643 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ642 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT64 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ964 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ864 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ764 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ654 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ643 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ642 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT964 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT864 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT764 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT643 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT642 flush 4 0.01% 1 : 15515 99.81%
31 98s J9864 flush 4 0.01% 1 : 15515 99.81%
32 97s J9764 flush 4 0.01% 1 : 15515 99.80%
33 95s J9654 flush 4 0.01% 1 : 15515 99.79%
34 93s J9643 flush 4 0.01% 1 : 15515 99.79%
35 92s J9642 flush 4 0.01% 1 : 15515 99.78%
36 87s J8764 flush 4 0.01% 1 : 15515 99.77%
37 85s J8654 flush 4 0.01% 1 : 15515 99.77%
38 83s J8643 flush 4 0.01% 1 : 15515 99.76%
39 82s J8642 flush 4 0.01% 1 : 15515 99.76%
40 75s J7654 flush 4 0.01% 1 : 15515 99.75%
41 73s J7643 flush 4 0.01% 1 : 15515 99.74%
42 72s J7642 flush 4 0.01% 1 : 15515 99.74%
43 53s J6543 flush 4 0.01% 1 : 15515 99.73%
44 52s J6542 flush 4 0.01% 1 : 15515 99.72%
45 32s J6432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ64 three of a kind 64 0.10% 1 : 969 99.71%
47 66 J6664 three of a kind 64 0.10% 1 : 969 99.61%
48 44 J6444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J6 JJ664 two pairs 144 0.23% 1 : 430 99.40%
50 J4 JJ644 two pairs 144 0.23% 1 : 430 99.17%
51 64 J6644 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ64 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ64 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ64 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ64 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ64 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ64 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT64 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ964 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ864 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ764 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ654 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ643 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ642 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT64 one pair 384 0.62% 1 : 161 90.66%
66 99 J9964 one pair 384 0.62% 1 : 161 90.04%
67 88 J8864 one pair 384 0.62% 1 : 161 89.42%
68 77 J7764 one pair 384 0.62% 1 : 161 88.81%
69 A6 AJ664 one pair 384 0.62% 1 : 161 88.19%
70 K6 KJ664 one pair 384 0.62% 1 : 161 87.57%
71 Q6 QJ664 one pair 384 0.62% 1 : 161 86.95%
72 T6 JT664 one pair 384 0.62% 1 : 161 86.33%
73 96 J9664 one pair 384 0.62% 1 : 161 85.71%
74 86 J8664 one pair 384 0.62% 1 : 161 85.09%
75 76 J7664 one pair 384 0.62% 1 : 161 84.47%
76 65 J6654 one pair 384 0.62% 1 : 161 83.86%
77 63 J6643 one pair 384 0.62% 1 : 161 83.24%
78 62 J6642 one pair 384 0.62% 1 : 161 82.62%
79 55 J6554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AJ644 one pair 384 0.62% 1 : 161 81.38%
81 K4 KJ644 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QJ644 one pair 384 0.62% 1 : 161 80.14%
83 T4 JT644 one pair 384 0.62% 1 : 161 79.52%
84 94 J9644 one pair 384 0.62% 1 : 161 78.91%
85 84 J8644 one pair 384 0.62% 1 : 161 78.29%
86 74 J7644 one pair 384 0.62% 1 : 161 77.67%
87 54 J6544 one pair 384 0.62% 1 : 161 77.05%
88 43 J6443 one pair 384 0.62% 1 : 161 76.43%
89 42 J6442 one pair 384 0.62% 1 : 161 75.81%
90 33 J6433 one pair 384 0.62% 1 : 161 75.19%
91 22 J6422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ64 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ64 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT64 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ964 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ864 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ764 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ643 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ642 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ64 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT64 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ964 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ864 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ764 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ643 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ642 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT64 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ964 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ864 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ764 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ643 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ642 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT964 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT864 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT764 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT643 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT642 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9864 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9642 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 J8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 J8643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8642 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 J7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 J7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 J7642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 J6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 J6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J6432 high card 1,020 1.64% 1 : 59.8 1.64%