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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 AK752 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ752 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ752 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT752 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9752 flush 4 0.01% 1 : 15515 99.97%
6 A8s A8752 flush 4 0.01% 1 : 15515 99.97%
7 A6s A7652 flush 4 0.01% 1 : 15515 99.96%
8 A4s A7542 flush 4 0.01% 1 : 15515 99.95%
9 A3s A7532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ752 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ752 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT752 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9752 flush 4 0.01% 1 : 15515 99.92%
14 K8s K8752 flush 4 0.01% 1 : 15515 99.92%
15 K6s K7652 flush 4 0.01% 1 : 15515 99.91%
16 K4s K7542 flush 4 0.01% 1 : 15515 99.90%
17 K3s K7532 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ752 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT752 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9752 flush 4 0.01% 1 : 15515 99.88%
21 Q8s Q8752 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q7652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q7542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q7532 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT752 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9752 flush 4 0.01% 1 : 15515 99.84%
27 J8s J8752 flush 4 0.01% 1 : 15515 99.83%
28 J6s J7652 flush 4 0.01% 1 : 15515 99.83%
29 J4s J7542 flush 4 0.01% 1 : 15515 99.82%
30 J3s J7532 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9752 flush 4 0.01% 1 : 15515 99.81%
32 T8s T8752 flush 4 0.01% 1 : 15515 99.80%
33 T6s T7652 flush 4 0.01% 1 : 15515 99.79%
34 T4s T7542 flush 4 0.01% 1 : 15515 99.79%
35 T3s T7532 flush 4 0.01% 1 : 15515 99.78%
36 98s 98752 flush 4 0.01% 1 : 15515 99.77%
37 96s 97652 flush 4 0.01% 1 : 15515 99.77%
38 94s 97542 flush 4 0.01% 1 : 15515 99.76%
39 93s 97532 flush 4 0.01% 1 : 15515 99.76%
40 86s 87652 flush 4 0.01% 1 : 15515 99.75%
41 84s 87542 flush 4 0.01% 1 : 15515 99.74%
42 83s 87532 flush 4 0.01% 1 : 15515 99.74%
43 64s 76542 flush 4 0.01% 1 : 15515 99.73%
44 63s 76532 flush 4 0.01% 1 : 15515 99.72%
45 43s 75432 flush 4 0.01% 1 : 15515 99.72%
 
46 77 77752 three of a kind 64 0.10% 1 : 969 99.71%
47 55 75552 three of a kind 64 0.10% 1 : 969 99.61%
48 22 75222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 75 77552 two pairs 144 0.23% 1 : 430 99.40%
50 72 77522 two pairs 144 0.23% 1 : 430 99.17%
51 52 75522 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA752 one pair 384 0.62% 1 : 161 98.70%
53 KK KK752 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ752 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ752 one pair 384 0.62% 1 : 161 96.85%
56 TT TT752 one pair 384 0.62% 1 : 161 96.23%
57 99 99752 one pair 384 0.62% 1 : 161 95.61%
58 88 88752 one pair 384 0.62% 1 : 161 94.99%
59 A7 A7752 one pair 384 0.62% 1 : 161 94.37%
60 K7 K7752 one pair 384 0.62% 1 : 161 93.75%
61 Q7 Q7752 one pair 384 0.62% 1 : 161 93.14%
62 J7 J7752 one pair 384 0.62% 1 : 161 92.52%
63 T7 T7752 one pair 384 0.62% 1 : 161 91.90%
64 97 97752 one pair 384 0.62% 1 : 161 91.28%
65 87 87752 one pair 384 0.62% 1 : 161 90.66%
66 76 77652 one pair 384 0.62% 1 : 161 90.04%
67 74 77542 one pair 384 0.62% 1 : 161 89.42%
68 73 77532 one pair 384 0.62% 1 : 161 88.81%
69 66 76652 one pair 384 0.62% 1 : 161 88.19%
70 A5 A7552 one pair 384 0.62% 1 : 161 87.57%
71 K5 K7552 one pair 384 0.62% 1 : 161 86.95%
72 Q5 Q7552 one pair 384 0.62% 1 : 161 86.33%
73 J5 J7552 one pair 384 0.62% 1 : 161 85.71%
74 T5 T7552 one pair 384 0.62% 1 : 161 85.09%
75 95 97552 one pair 384 0.62% 1 : 161 84.47%
76 85 87552 one pair 384 0.62% 1 : 161 83.86%
77 65 76552 one pair 384 0.62% 1 : 161 83.24%
78 54 75542 one pair 384 0.62% 1 : 161 82.62%
79 53 75532 one pair 384 0.62% 1 : 161 82.00%
80 44 75442 one pair 384 0.62% 1 : 161 81.38%
81 33 75332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A7522 one pair 384 0.62% 1 : 161 80.14%
83 K2 K7522 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q7522 one pair 384 0.62% 1 : 161 78.91%
85 J2 J7522 one pair 384 0.62% 1 : 161 78.29%
86 T2 T7522 one pair 384 0.62% 1 : 161 77.67%
87 92 97522 one pair 384 0.62% 1 : 161 77.05%
88 82 87522 one pair 384 0.62% 1 : 161 76.43%
89 62 76522 one pair 384 0.62% 1 : 161 75.81%
90 42 75422 one pair 384 0.62% 1 : 161 75.19%
91 32 75322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK752 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ752 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ752 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT752 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9752 high card 1,020 1.64% 1 : 59.8 67.38%
97 A8 A8752 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A7652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A7542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A7532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ752 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ752 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT752 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9752 high card 1,020 1.64% 1 : 59.8 54.23%
105 K8 K8752 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K7652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K7542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K7532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ752 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT752 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9752 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q8 Q8752 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q7652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q7542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q7532 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT752 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9752 high card 1,020 1.64% 1 : 59.8 32.87%
118 J8 J8752 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J7652 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J7542 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J7532 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9752 high card 1,020 1.64% 1 : 59.8 24.65%
123 T8 T8752 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T7652 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T7542 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T7532 high card 1,020 1.64% 1 : 59.8 18.08%
127 98 98752 high card 1,020 1.64% 1 : 59.8 16.43%
128 96 97652 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 97542 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 97532 high card 1,020 1.64% 1 : 59.8 11.50%
131 86 87652 high card 1,020 1.64% 1 : 59.8 9.86%
132 84 87542 high card 1,020 1.64% 1 : 59.8 8.22%
133 83 87532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 76542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 76532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 75432 high card 1,020 1.64% 1 : 59.8 1.64%