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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 AKJ85 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ85 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT85 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ985 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ875 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ865 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJ854 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ853 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ852 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ85 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT85 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ985 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ875 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ865 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJ854 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ853 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ852 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT85 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ985 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ875 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ865 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJ854 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ853 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ852 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT985 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT875 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT865 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT854 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT853 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT852 flush 4 0.01% 1 : 15515 99.81%
31 97s J9875 flush 4 0.01% 1 : 15515 99.81%
32 96s J9865 flush 4 0.01% 1 : 15515 99.80%
33 94s J9854 flush 4 0.01% 1 : 15515 99.79%
34 93s J9853 flush 4 0.01% 1 : 15515 99.79%
35 92s J9852 flush 4 0.01% 1 : 15515 99.78%
36 76s J8765 flush 4 0.01% 1 : 15515 99.77%
37 74s J8754 flush 4 0.01% 1 : 15515 99.77%
38 73s J8753 flush 4 0.01% 1 : 15515 99.76%
39 72s J8752 flush 4 0.01% 1 : 15515 99.76%
40 64s J8654 flush 4 0.01% 1 : 15515 99.75%
41 63s J8653 flush 4 0.01% 1 : 15515 99.74%
42 62s J8652 flush 4 0.01% 1 : 15515 99.74%
43 43s J8543 flush 4 0.01% 1 : 15515 99.73%
44 42s J8542 flush 4 0.01% 1 : 15515 99.72%
45 32s J8532 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ85 three of a kind 64 0.10% 1 : 969 99.71%
47 88 J8885 three of a kind 64 0.10% 1 : 969 99.61%
48 55 J8555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J8 JJ885 two pairs 144 0.23% 1 : 430 99.40%
50 J5 JJ855 two pairs 144 0.23% 1 : 430 99.17%
51 85 J8855 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ85 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ85 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ85 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ85 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ85 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ85 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT85 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ985 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ875 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ865 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJ854 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ853 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ852 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT85 one pair 384 0.62% 1 : 161 90.66%
66 99 J9985 one pair 384 0.62% 1 : 161 90.04%
67 A8 AJ885 one pair 384 0.62% 1 : 161 89.42%
68 K8 KJ885 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QJ885 one pair 384 0.62% 1 : 161 88.19%
70 T8 JT885 one pair 384 0.62% 1 : 161 87.57%
71 98 J9885 one pair 384 0.62% 1 : 161 86.95%
72 87 J8875 one pair 384 0.62% 1 : 161 86.33%
73 86 J8865 one pair 384 0.62% 1 : 161 85.71%
74 84 J8854 one pair 384 0.62% 1 : 161 85.09%
75 83 J8853 one pair 384 0.62% 1 : 161 84.47%
76 82 J8852 one pair 384 0.62% 1 : 161 83.86%
77 77 J8775 one pair 384 0.62% 1 : 161 83.24%
78 66 J8665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AJ855 one pair 384 0.62% 1 : 161 82.00%
80 K5 KJ855 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QJ855 one pair 384 0.62% 1 : 161 80.76%
82 T5 JT855 one pair 384 0.62% 1 : 161 80.14%
83 95 J9855 one pair 384 0.62% 1 : 161 79.52%
84 75 J8755 one pair 384 0.62% 1 : 161 78.91%
85 65 J8655 one pair 384 0.62% 1 : 161 78.29%
86 54 J8554 one pair 384 0.62% 1 : 161 77.67%
87 53 J8553 one pair 384 0.62% 1 : 161 77.05%
88 52 J8552 one pair 384 0.62% 1 : 161 76.43%
89 44 J8544 one pair 384 0.62% 1 : 161 75.81%
90 33 J8533 one pair 384 0.62% 1 : 161 75.19%
91 22 J8522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ85 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ85 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT85 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ985 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ875 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ865 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJ854 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ853 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ852 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ85 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT85 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ985 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ875 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ865 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJ854 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ853 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ852 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT85 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ985 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ875 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ865 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJ854 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ853 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ852 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT853 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT852 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 J9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 J9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 J9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 J8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 J8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 J8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 J8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 J8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 J8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J8532 high card 1,020 1.64% 1 : 59.8 1.64%