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 AKJ95 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ95 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJ985 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ975 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ965 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJ954 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ953 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ952 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ95 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT95 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJ985 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ975 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ965 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJ954 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ953 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ952 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT95 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJ985 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ975 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ965 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJ954 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ953 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ952 flush 4 0.01% 1 : 15515 99.85%
25 T8s JT985 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT975 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT965 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT954 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT953 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT952 flush 4 0.01% 1 : 15515 99.81%
31 87s J9875 flush 4 0.01% 1 : 15515 99.81%
32 86s J9865 flush 4 0.01% 1 : 15515 99.80%
33 84s J9854 flush 4 0.01% 1 : 15515 99.79%
34 83s J9853 flush 4 0.01% 1 : 15515 99.79%
35 82s J9852 flush 4 0.01% 1 : 15515 99.78%
36 76s J9765 flush 4 0.01% 1 : 15515 99.77%
37 74s J9754 flush 4 0.01% 1 : 15515 99.77%
38 73s J9753 flush 4 0.01% 1 : 15515 99.76%
39 72s J9752 flush 4 0.01% 1 : 15515 99.76%
40 64s J9654 flush 4 0.01% 1 : 15515 99.75%
41 63s J9653 flush 4 0.01% 1 : 15515 99.74%
42 62s J9652 flush 4 0.01% 1 : 15515 99.74%
43 43s J9543 flush 4 0.01% 1 : 15515 99.73%
44 42s J9542 flush 4 0.01% 1 : 15515 99.72%
45 32s J9532 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ95 three of a kind 64 0.10% 1 : 969 99.71%
47 99 J9995 three of a kind 64 0.10% 1 : 969 99.61%
48 55 J9555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J9 JJ995 two pairs 144 0.23% 1 : 430 99.40%
50 J5 JJ955 two pairs 144 0.23% 1 : 430 99.17%
51 95 J9955 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ95 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ95 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ95 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ95 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ95 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ95 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT95 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJ985 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ975 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ965 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJ954 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ953 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ952 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT95 one pair 384 0.62% 1 : 161 90.66%
66 A9 AJ995 one pair 384 0.62% 1 : 161 90.04%
67 K9 KJ995 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QJ995 one pair 384 0.62% 1 : 161 88.81%
69 T9 JT995 one pair 384 0.62% 1 : 161 88.19%
70 98 J9985 one pair 384 0.62% 1 : 161 87.57%
71 97 J9975 one pair 384 0.62% 1 : 161 86.95%
72 96 J9965 one pair 384 0.62% 1 : 161 86.33%
73 94 J9954 one pair 384 0.62% 1 : 161 85.71%
74 93 J9953 one pair 384 0.62% 1 : 161 85.09%
75 92 J9952 one pair 384 0.62% 1 : 161 84.47%
76 88 J9885 one pair 384 0.62% 1 : 161 83.86%
77 77 J9775 one pair 384 0.62% 1 : 161 83.24%
78 66 J9665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AJ955 one pair 384 0.62% 1 : 161 82.00%
80 K5 KJ955 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QJ955 one pair 384 0.62% 1 : 161 80.76%
82 T5 JT955 one pair 384 0.62% 1 : 161 80.14%
83 85 J9855 one pair 384 0.62% 1 : 161 79.52%
84 75 J9755 one pair 384 0.62% 1 : 161 78.91%
85 65 J9655 one pair 384 0.62% 1 : 161 78.29%
86 54 J9554 one pair 384 0.62% 1 : 161 77.67%
87 53 J9553 one pair 384 0.62% 1 : 161 77.05%
88 52 J9552 one pair 384 0.62% 1 : 161 76.43%
89 44 J9544 one pair 384 0.62% 1 : 161 75.81%
90 33 J9533 one pair 384 0.62% 1 : 161 75.19%
91 22 J9522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ95 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ95 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJ985 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ975 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ965 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJ954 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ953 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ952 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ95 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJ985 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ975 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ965 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJ954 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ953 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ952 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJ985 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ975 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ965 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJ954 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ953 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ952 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 JT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 J9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 J9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 J9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 J9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 J9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 J9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 J9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 J9753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 J9752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 J9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 J9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J9532 high card 1,020 1.64% 1 : 59.8 1.64%