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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 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 54s A5432 straight flush 4 0.01% 1 : 15515 100.00%
 
2 KQs AKQ32 flush 4 0.01% 1 : 15515 99.99%
3 KJs AKJ32 flush 4 0.01% 1 : 15515 99.99%
4 KTs AKT32 flush 4 0.01% 1 : 15515 99.98%
5 K9s AK932 flush 4 0.01% 1 : 15515 99.97%
6 K8s AK832 flush 4 0.01% 1 : 15515 99.97%
7 K7s AK732 flush 4 0.01% 1 : 15515 99.96%
8 K6s AK632 flush 4 0.01% 1 : 15515 99.95%
9 K5s AK532 flush 4 0.01% 1 : 15515 99.95%
10 K4s AK432 flush 4 0.01% 1 : 15515 99.94%
11 QJs AQJ32 flush 4 0.01% 1 : 15515 99.94%
12 QTs AQT32 flush 4 0.01% 1 : 15515 99.93%
13 Q9s AQ932 flush 4 0.01% 1 : 15515 99.92%
14 Q8s AQ832 flush 4 0.01% 1 : 15515 99.92%
15 Q7s AQ732 flush 4 0.01% 1 : 15515 99.91%
16 Q6s AQ632 flush 4 0.01% 1 : 15515 99.90%
17 Q5s AQ532 flush 4 0.01% 1 : 15515 99.90%
18 Q4s AQ432 flush 4 0.01% 1 : 15515 99.89%
19 JTs AJT32 flush 4 0.01% 1 : 15515 99.88%
20 J9s AJ932 flush 4 0.01% 1 : 15515 99.88%
21 J8s AJ832 flush 4 0.01% 1 : 15515 99.87%
22 J7s AJ732 flush 4 0.01% 1 : 15515 99.86%
23 J6s AJ632 flush 4 0.01% 1 : 15515 99.86%
24 J5s AJ532 flush 4 0.01% 1 : 15515 99.85%
25 J4s AJ432 flush 4 0.01% 1 : 15515 99.85%
26 T9s AT932 flush 4 0.01% 1 : 15515 99.84%
27 T8s AT832 flush 4 0.01% 1 : 15515 99.83%
28 T7s AT732 flush 4 0.01% 1 : 15515 99.83%
29 T6s AT632 flush 4 0.01% 1 : 15515 99.82%
30 T5s AT532 flush 4 0.01% 1 : 15515 99.81%
31 T4s AT432 flush 4 0.01% 1 : 15515 99.81%
32 98s A9832 flush 4 0.01% 1 : 15515 99.80%
33 97s A9732 flush 4 0.01% 1 : 15515 99.79%
34 96s A9632 flush 4 0.01% 1 : 15515 99.79%
35 95s A9532 flush 4 0.01% 1 : 15515 99.78%
36 94s A9432 flush 4 0.01% 1 : 15515 99.77%
37 87s A8732 flush 4 0.01% 1 : 15515 99.77%
38 86s A8632 flush 4 0.01% 1 : 15515 99.76%
39 85s A8532 flush 4 0.01% 1 : 15515 99.76%
40 84s A8432 flush 4 0.01% 1 : 15515 99.75%
41 76s A7632 flush 4 0.01% 1 : 15515 99.74%
42 75s A7532 flush 4 0.01% 1 : 15515 99.74%
43 74s A7432 flush 4 0.01% 1 : 15515 99.73%
44 65s A6532 flush 4 0.01% 1 : 15515 99.72%
45 64s A6432 flush 4 0.01% 1 : 15515 99.72%
 
46 54 A5432 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAA32 three of a kind 64 0.10% 1 : 969 98.07%
48 33 A3332 three of a kind 64 0.10% 1 : 969 97.96%
49 22 A3222 three of a kind 64 0.10% 1 : 969 97.86%
 
50 A3 AA332 two pairs 144 0.23% 1 : 430 97.76%
51 A2 AA322 two pairs 144 0.23% 1 : 430 97.53%
52 32 A3322 two pairs 144 0.23% 1 : 430 97.29%
 
53 AK AAK32 one pair 384 0.62% 1 : 161 97.06%
54 AQ AAQ32 one pair 384 0.62% 1 : 161 96.44%
55 AJ AAJ32 one pair 384 0.62% 1 : 161 95.82%
56 AT AAT32 one pair 384 0.62% 1 : 161 95.20%
57 A9 AA932 one pair 384 0.62% 1 : 161 94.59%
58 A8 AA832 one pair 384 0.62% 1 : 161 93.97%
59 A7 AA732 one pair 384 0.62% 1 : 161 93.35%
60 A6 AA632 one pair 384 0.62% 1 : 161 92.73%
61 A5 AA532 one pair 384 0.62% 1 : 161 92.11%
62 A4 AA432 one pair 384 0.62% 1 : 161 91.49%
63 KK AKK32 one pair 384 0.62% 1 : 161 90.87%
64 QQ AQQ32 one pair 384 0.62% 1 : 161 90.26%
65 JJ AJJ32 one pair 384 0.62% 1 : 161 89.64%
66 TT ATT32 one pair 384 0.62% 1 : 161 89.02%
67 99 A9932 one pair 384 0.62% 1 : 161 88.40%
68 88 A8832 one pair 384 0.62% 1 : 161 87.78%
69 77 A7732 one pair 384 0.62% 1 : 161 87.16%
70 66 A6632 one pair 384 0.62% 1 : 161 86.54%
71 55 A5532 one pair 384 0.62% 1 : 161 85.92%
72 44 A4432 one pair 384 0.62% 1 : 161 85.31%
73 K3 AK332 one pair 384 0.62% 1 : 161 84.69%
74 Q3 AQ332 one pair 384 0.62% 1 : 161 84.07%
75 J3 AJ332 one pair 384 0.62% 1 : 161 83.45%
76 T3 AT332 one pair 384 0.62% 1 : 161 82.83%
77 93 A9332 one pair 384 0.62% 1 : 161 82.21%
78 83 A8332 one pair 384 0.62% 1 : 161 81.59%
79 73 A7332 one pair 384 0.62% 1 : 161 80.97%
80 63 A6332 one pair 384 0.62% 1 : 161 80.36%
81 53 A5332 one pair 384 0.62% 1 : 161 79.74%
82 43 A4332 one pair 384 0.62% 1 : 161 79.12%
83 K2 AK322 one pair 384 0.62% 1 : 161 78.50%
84 Q2 AQ322 one pair 384 0.62% 1 : 161 77.88%
85 J2 AJ322 one pair 384 0.62% 1 : 161 77.26%
86 T2 AT322 one pair 384 0.62% 1 : 161 76.64%
87 92 A9322 one pair 384 0.62% 1 : 161 76.02%
88 82 A8322 one pair 384 0.62% 1 : 161 75.41%
89 72 A7322 one pair 384 0.62% 1 : 161 74.79%
90 62 A6322 one pair 384 0.62% 1 : 161 74.17%
91 52 A5322 one pair 384 0.62% 1 : 161 73.55%
92 42 A4322 one pair 384 0.62% 1 : 161 72.93%
 
93 KQ AKQ32 high card 1,020 1.64% 1 : 59.8 72.31%
94 KJ AKJ32 high card 1,020 1.64% 1 : 59.8 70.67%
95 KT AKT32 high card 1,020 1.64% 1 : 59.8 69.03%
96 K9 AK932 high card 1,020 1.64% 1 : 59.8 67.38%
97 K8 AK832 high card 1,020 1.64% 1 : 59.8 65.74%
98 K7 AK732 high card 1,020 1.64% 1 : 59.8 64.10%
99 K6 AK632 high card 1,020 1.64% 1 : 59.8 62.45%
100 K5 AK532 high card 1,020 1.64% 1 : 59.8 60.81%
101 K4 AK432 high card 1,020 1.64% 1 : 59.8 59.16%
102 QJ AQJ32 high card 1,020 1.64% 1 : 59.8 57.52%
103 QT AQT32 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q9 AQ932 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q8 AQ832 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q7 AQ732 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q6 AQ632 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q5 AQ532 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q4 AQ432 high card 1,020 1.64% 1 : 59.8 46.02%
110 JT AJT32 high card 1,020 1.64% 1 : 59.8 44.37%
111 J9 AJ932 high card 1,020 1.64% 1 : 59.8 42.73%
112 J8 AJ832 high card 1,020 1.64% 1 : 59.8 41.09%
113 J7 AJ732 high card 1,020 1.64% 1 : 59.8 39.44%
114 J6 AJ632 high card 1,020 1.64% 1 : 59.8 37.80%
115 J5 AJ532 high card 1,020 1.64% 1 : 59.8 36.16%
116 J4 AJ432 high card 1,020 1.64% 1 : 59.8 34.51%
117 T9 AT932 high card 1,020 1.64% 1 : 59.8 32.87%
118 T8 AT832 high card 1,020 1.64% 1 : 59.8 31.23%
119 T7 AT732 high card 1,020 1.64% 1 : 59.8 29.58%
120 T6 AT632 high card 1,020 1.64% 1 : 59.8 27.94%
121 T5 AT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 T4 AT432 high card 1,020 1.64% 1 : 59.8 24.65%
123 98 A9832 high card 1,020 1.64% 1 : 59.8 23.01%
124 97 A9732 high card 1,020 1.64% 1 : 59.8 21.37%
125 96 A9632 high card 1,020 1.64% 1 : 59.8 19.72%
126 95 A9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 94 A9432 high card 1,020 1.64% 1 : 59.8 16.43%
128 87 A8732 high card 1,020 1.64% 1 : 59.8 14.79%
129 86 A8632 high card 1,020 1.64% 1 : 59.8 13.15%
130 85 A8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 84 A8432 high card 1,020 1.64% 1 : 59.8 9.86%
132 76 A7632 high card 1,020 1.64% 1 : 59.8 8.22%
133 75 A7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 74 A7432 high card 1,020 1.64% 1 : 59.8 4.93%
135 65 A6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 64 A6432 high card 1,020 1.64% 1 : 59.8 1.64%