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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 AK984 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ984 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ984 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT984 flush 4 0.01% 1 : 15515 99.98%
5 A7s A9874 flush 4 0.01% 1 : 15515 99.97%
6 A6s A9864 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9854 flush 4 0.01% 1 : 15515 99.96%
8 A3s A9843 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9842 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ984 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ984 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT984 flush 4 0.01% 1 : 15515 99.93%
13 K7s K9874 flush 4 0.01% 1 : 15515 99.92%
14 K6s K9864 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9854 flush 4 0.01% 1 : 15515 99.91%
16 K3s K9843 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9842 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ984 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT984 flush 4 0.01% 1 : 15515 99.88%
20 Q7s Q9874 flush 4 0.01% 1 : 15515 99.88%
21 Q6s Q9864 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9854 flush 4 0.01% 1 : 15515 99.86%
23 Q3s Q9843 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9842 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT984 flush 4 0.01% 1 : 15515 99.85%
26 J7s J9874 flush 4 0.01% 1 : 15515 99.84%
27 J6s J9864 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9854 flush 4 0.01% 1 : 15515 99.83%
29 J3s J9843 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9842 flush 4 0.01% 1 : 15515 99.81%
31 T7s T9874 flush 4 0.01% 1 : 15515 99.81%
32 T6s T9864 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9854 flush 4 0.01% 1 : 15515 99.79%
34 T3s T9843 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9842 flush 4 0.01% 1 : 15515 99.78%
36 76s 98764 flush 4 0.01% 1 : 15515 99.77%
37 75s 98754 flush 4 0.01% 1 : 15515 99.77%
38 73s 98743 flush 4 0.01% 1 : 15515 99.76%
39 72s 98742 flush 4 0.01% 1 : 15515 99.76%
40 65s 98654 flush 4 0.01% 1 : 15515 99.75%
41 63s 98643 flush 4 0.01% 1 : 15515 99.74%
42 62s 98642 flush 4 0.01% 1 : 15515 99.74%
43 53s 98543 flush 4 0.01% 1 : 15515 99.73%
44 52s 98542 flush 4 0.01% 1 : 15515 99.72%
45 32s 98432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99984 three of a kind 64 0.10% 1 : 969 99.71%
47 88 98884 three of a kind 64 0.10% 1 : 969 99.61%
48 44 98444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 98 99884 two pairs 144 0.23% 1 : 430 99.40%
50 94 99844 two pairs 144 0.23% 1 : 430 99.17%
51 84 98844 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA984 one pair 384 0.62% 1 : 161 98.70%
53 KK KK984 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ984 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ984 one pair 384 0.62% 1 : 161 96.85%
56 TT TT984 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9984 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9984 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9984 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9984 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9984 one pair 384 0.62% 1 : 161 93.14%
62 97 99874 one pair 384 0.62% 1 : 161 92.52%
63 96 99864 one pair 384 0.62% 1 : 161 91.90%
64 95 99854 one pair 384 0.62% 1 : 161 91.28%
65 93 99843 one pair 384 0.62% 1 : 161 90.66%
66 92 99842 one pair 384 0.62% 1 : 161 90.04%
67 A8 A9884 one pair 384 0.62% 1 : 161 89.42%
68 K8 K9884 one pair 384 0.62% 1 : 161 88.81%
69 Q8 Q9884 one pair 384 0.62% 1 : 161 88.19%
70 J8 J9884 one pair 384 0.62% 1 : 161 87.57%
71 T8 T9884 one pair 384 0.62% 1 : 161 86.95%
72 87 98874 one pair 384 0.62% 1 : 161 86.33%
73 86 98864 one pair 384 0.62% 1 : 161 85.71%
74 85 98854 one pair 384 0.62% 1 : 161 85.09%
75 83 98843 one pair 384 0.62% 1 : 161 84.47%
76 82 98842 one pair 384 0.62% 1 : 161 83.86%
77 77 98774 one pair 384 0.62% 1 : 161 83.24%
78 66 98664 one pair 384 0.62% 1 : 161 82.62%
79 55 98554 one pair 384 0.62% 1 : 161 82.00%
80 A4 A9844 one pair 384 0.62% 1 : 161 81.38%
81 K4 K9844 one pair 384 0.62% 1 : 161 80.76%
82 Q4 Q9844 one pair 384 0.62% 1 : 161 80.14%
83 J4 J9844 one pair 384 0.62% 1 : 161 79.52%
84 T4 T9844 one pair 384 0.62% 1 : 161 78.91%
85 74 98744 one pair 384 0.62% 1 : 161 78.29%
86 64 98644 one pair 384 0.62% 1 : 161 77.67%
87 54 98544 one pair 384 0.62% 1 : 161 77.05%
88 43 98443 one pair 384 0.62% 1 : 161 76.43%
89 42 98442 one pair 384 0.62% 1 : 161 75.81%
90 33 98433 one pair 384 0.62% 1 : 161 75.19%
91 22 98422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK984 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ984 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ984 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 A9874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 A9864 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9854 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 A9843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9842 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ984 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ984 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT984 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 K9874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 K9864 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9854 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 K9843 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9842 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ984 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT984 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 Q9874 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 Q9864 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9854 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 Q9843 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9842 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 J9874 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 J9864 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9854 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 J9843 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9842 high card 1,020 1.64% 1 : 59.8 26.30%
122 T7 T9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 T6 T9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 T3 T9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 98764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 98754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 98743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 98742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 98654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 98643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 98642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 98543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 98542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 98432 high card 1,020 1.64% 1 : 59.8 1.64%