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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 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 64s 65432 straight flush 4 0.01% 1 : 15515 100.00%
2 A4s A5432 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AK532 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQ532 flush 4 0.01% 1 : 15515 99.98%
5 AJs AJ532 flush 4 0.01% 1 : 15515 99.97%
6 ATs AT532 flush 4 0.01% 1 : 15515 99.97%
7 A9s A9532 flush 4 0.01% 1 : 15515 99.96%
8 A8s A8532 flush 4 0.01% 1 : 15515 99.95%
9 A7s A7532 flush 4 0.01% 1 : 15515 99.95%
10 A6s A6532 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQ532 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJ532 flush 4 0.01% 1 : 15515 99.93%
13 KTs KT532 flush 4 0.01% 1 : 15515 99.92%
14 K9s K9532 flush 4 0.01% 1 : 15515 99.92%
15 K8s K8532 flush 4 0.01% 1 : 15515 99.91%
16 K7s K7532 flush 4 0.01% 1 : 15515 99.90%
17 K6s K6532 flush 4 0.01% 1 : 15515 99.90%
18 K4s K5432 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJ532 flush 4 0.01% 1 : 15515 99.88%
20 QTs QT532 flush 4 0.01% 1 : 15515 99.88%
21 Q9s Q9532 flush 4 0.01% 1 : 15515 99.87%
22 Q8s Q8532 flush 4 0.01% 1 : 15515 99.86%
23 Q7s Q7532 flush 4 0.01% 1 : 15515 99.86%
24 Q6s Q6532 flush 4 0.01% 1 : 15515 99.85%
25 Q4s Q5432 flush 4 0.01% 1 : 15515 99.85%
26 JTs JT532 flush 4 0.01% 1 : 15515 99.84%
27 J9s J9532 flush 4 0.01% 1 : 15515 99.83%
28 J8s J8532 flush 4 0.01% 1 : 15515 99.83%
29 J7s J7532 flush 4 0.01% 1 : 15515 99.82%
30 J6s J6532 flush 4 0.01% 1 : 15515 99.81%
31 J4s J5432 flush 4 0.01% 1 : 15515 99.81%
32 T9s T9532 flush 4 0.01% 1 : 15515 99.80%
33 T8s T8532 flush 4 0.01% 1 : 15515 99.79%
34 T7s T7532 flush 4 0.01% 1 : 15515 99.79%
35 T6s T6532 flush 4 0.01% 1 : 15515 99.78%
36 T4s T5432 flush 4 0.01% 1 : 15515 99.77%
37 98s 98532 flush 4 0.01% 1 : 15515 99.77%
38 97s 97532 flush 4 0.01% 1 : 15515 99.76%
39 96s 96532 flush 4 0.01% 1 : 15515 99.76%
40 94s 95432 flush 4 0.01% 1 : 15515 99.75%
41 87s 87532 flush 4 0.01% 1 : 15515 99.74%
42 86s 86532 flush 4 0.01% 1 : 15515 99.74%
43 84s 85432 flush 4 0.01% 1 : 15515 99.73%
44 76s 76532 flush 4 0.01% 1 : 15515 99.72%
45 74s 75432 flush 4 0.01% 1 : 15515 99.72%
 
46 64 65432 straight 1,020 1.64% 1 : 59.8 99.71%
47 A4 A5432 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 55 55532 three of a kind 64 0.10% 1 : 969 96.42%
49 33 53332 three of a kind 64 0.10% 1 : 969 96.32%
50 22 53222 three of a kind 64 0.10% 1 : 969 96.22%
 
51 53 55332 two pairs 144 0.23% 1 : 430 96.11%
52 52 55322 two pairs 144 0.23% 1 : 430 95.88%
53 32 53322 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AA532 one pair 384 0.62% 1 : 161 95.42%
55 KK KK532 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQ532 one pair 384 0.62% 1 : 161 94.18%
57 JJ JJ532 one pair 384 0.62% 1 : 161 93.56%
58 TT TT532 one pair 384 0.62% 1 : 161 92.94%
59 99 99532 one pair 384 0.62% 1 : 161 92.32%
60 88 88532 one pair 384 0.62% 1 : 161 91.71%
61 77 77532 one pair 384 0.62% 1 : 161 91.09%
62 66 66532 one pair 384 0.62% 1 : 161 90.47%
63 A5 A5532 one pair 384 0.62% 1 : 161 89.85%
64 K5 K5532 one pair 384 0.62% 1 : 161 89.23%
65 Q5 Q5532 one pair 384 0.62% 1 : 161 88.61%
66 J5 J5532 one pair 384 0.62% 1 : 161 87.99%
67 T5 T5532 one pair 384 0.62% 1 : 161 87.37%
68 95 95532 one pair 384 0.62% 1 : 161 86.76%
69 85 85532 one pair 384 0.62% 1 : 161 86.14%
70 75 75532 one pair 384 0.62% 1 : 161 85.52%
71 65 65532 one pair 384 0.62% 1 : 161 84.90%
72 54 55432 one pair 384 0.62% 1 : 161 84.28%
73 44 54432 one pair 384 0.62% 1 : 161 83.66%
74 A3 A5332 one pair 384 0.62% 1 : 161 83.04%
75 K3 K5332 one pair 384 0.62% 1 : 161 82.42%
76 Q3 Q5332 one pair 384 0.62% 1 : 161 81.81%
77 J3 J5332 one pair 384 0.62% 1 : 161 81.19%
78 T3 T5332 one pair 384 0.62% 1 : 161 80.57%
79 93 95332 one pair 384 0.62% 1 : 161 79.95%
80 83 85332 one pair 384 0.62% 1 : 161 79.33%
81 73 75332 one pair 384 0.62% 1 : 161 78.71%
82 63 65332 one pair 384 0.62% 1 : 161 78.09%
83 43 54332 one pair 384 0.62% 1 : 161 77.47%
84 A2 A5322 one pair 384 0.62% 1 : 161 76.86%
85 K2 K5322 one pair 384 0.62% 1 : 161 76.24%
86 Q2 Q5322 one pair 384 0.62% 1 : 161 75.62%
87 J2 J5322 one pair 384 0.62% 1 : 161 75.00%
88 T2 T5322 one pair 384 0.62% 1 : 161 74.38%
89 92 95322 one pair 384 0.62% 1 : 161 73.76%
90 82 85322 one pair 384 0.62% 1 : 161 73.14%
91 72 75322 one pair 384 0.62% 1 : 161 72.53%
92 62 65322 one pair 384 0.62% 1 : 161 71.91%
93 42 54322 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AK532 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQ532 high card 1,020 1.64% 1 : 59.8 69.03%
96 AJ AJ532 high card 1,020 1.64% 1 : 59.8 67.38%
97 AT AT532 high card 1,020 1.64% 1 : 59.8 65.74%
98 A9 A9532 high card 1,020 1.64% 1 : 59.8 64.10%
99 A8 A8532 high card 1,020 1.64% 1 : 59.8 62.45%
100 A7 A7532 high card 1,020 1.64% 1 : 59.8 60.81%
101 A6 A6532 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQ532 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJ532 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KT532 high card 1,020 1.64% 1 : 59.8 54.23%
105 K9 K9532 high card 1,020 1.64% 1 : 59.8 52.59%
106 K8 K8532 high card 1,020 1.64% 1 : 59.8 50.95%
107 K7 K7532 high card 1,020 1.64% 1 : 59.8 49.30%
108 K6 K6532 high card 1,020 1.64% 1 : 59.8 47.66%
109 K4 K5432 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJ532 high card 1,020 1.64% 1 : 59.8 44.37%
111 QT QT532 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q9 Q9532 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q8 Q8532 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q7 Q7532 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q6 Q6532 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q4 Q5432 high card 1,020 1.64% 1 : 59.8 34.51%
117 JT JT532 high card 1,020 1.64% 1 : 59.8 32.87%
118 J9 J9532 high card 1,020 1.64% 1 : 59.8 31.23%
119 J8 J8532 high card 1,020 1.64% 1 : 59.8 29.58%
120 J7 J7532 high card 1,020 1.64% 1 : 59.8 27.94%
121 J6 J6532 high card 1,020 1.64% 1 : 59.8 26.30%
122 J4 J5432 high card 1,020 1.64% 1 : 59.8 24.65%
123 T9 T9532 high card 1,020 1.64% 1 : 59.8 23.01%
124 T8 T8532 high card 1,020 1.64% 1 : 59.8 21.37%
125 T7 T7532 high card 1,020 1.64% 1 : 59.8 19.72%
126 T6 T6532 high card 1,020 1.64% 1 : 59.8 18.08%
127 T4 T5432 high card 1,020 1.64% 1 : 59.8 16.43%
128 98 98532 high card 1,020 1.64% 1 : 59.8 14.79%
129 97 97532 high card 1,020 1.64% 1 : 59.8 13.15%
130 96 96532 high card 1,020 1.64% 1 : 59.8 11.50%
131 94 95432 high card 1,020 1.64% 1 : 59.8 9.86%
132 87 87532 high card 1,020 1.64% 1 : 59.8 8.22%
133 86 86532 high card 1,020 1.64% 1 : 59.8 6.57%
134 84 85432 high card 1,020 1.64% 1 : 59.8 4.93%
135 76 76532 high card 1,020 1.64% 1 : 59.8 3.29%
136 74 75432 high card 1,020 1.64% 1 : 59.8 1.64%