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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 KQs AKQT3 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJT3 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKT93 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKT83 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKT73 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKT63 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKT53 flush 4 0.01% 1 : 15515 99.96%
8 K4s AKT43 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKT32 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJT3 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQT93 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQT83 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQT73 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQT63 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQT53 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQT43 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQT32 flush 4 0.01% 1 : 15515 99.90%
18 J9s AJT93 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJT83 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJT73 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJT63 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJT53 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJT43 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s AT983 flush 4 0.01% 1 : 15515 99.85%
26 97s AT973 flush 4 0.01% 1 : 15515 99.84%
27 96s AT963 flush 4 0.01% 1 : 15515 99.83%
28 95s AT953 flush 4 0.01% 1 : 15515 99.83%
29 94s AT943 flush 4 0.01% 1 : 15515 99.82%
30 92s AT932 flush 4 0.01% 1 : 15515 99.81%
31 87s AT873 flush 4 0.01% 1 : 15515 99.81%
32 86s AT863 flush 4 0.01% 1 : 15515 99.80%
33 85s AT853 flush 4 0.01% 1 : 15515 99.79%
34 84s AT843 flush 4 0.01% 1 : 15515 99.79%
35 82s AT832 flush 4 0.01% 1 : 15515 99.78%
36 76s AT763 flush 4 0.01% 1 : 15515 99.77%
37 75s AT753 flush 4 0.01% 1 : 15515 99.77%
38 74s AT743 flush 4 0.01% 1 : 15515 99.76%
39 72s AT732 flush 4 0.01% 1 : 15515 99.76%
40 65s AT653 flush 4 0.01% 1 : 15515 99.75%
41 64s AT643 flush 4 0.01% 1 : 15515 99.74%
42 62s AT632 flush 4 0.01% 1 : 15515 99.74%
43 54s AT543 flush 4 0.01% 1 : 15515 99.73%
44 52s AT532 flush 4 0.01% 1 : 15515 99.72%
45 42s AT432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAT3 three of a kind 64 0.10% 1 : 969 99.71%
47 TT ATTT3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 AT333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AT AATT3 two pairs 144 0.23% 1 : 430 99.40%
50 A3 AAT33 two pairs 144 0.23% 1 : 430 99.17%
51 T3 ATT33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKT3 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQT3 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJT3 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAT93 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAT83 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAT73 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAT63 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAT53 one pair 384 0.62% 1 : 161 94.37%
60 A4 AAT43 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAT32 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKT3 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQT3 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJT3 one pair 384 0.62% 1 : 161 91.28%
65 KT AKTT3 one pair 384 0.62% 1 : 161 90.66%
66 QT AQTT3 one pair 384 0.62% 1 : 161 90.04%
67 JT AJTT3 one pair 384 0.62% 1 : 161 89.42%
68 T9 ATT93 one pair 384 0.62% 1 : 161 88.81%
69 T8 ATT83 one pair 384 0.62% 1 : 161 88.19%
70 T7 ATT73 one pair 384 0.62% 1 : 161 87.57%
71 T6 ATT63 one pair 384 0.62% 1 : 161 86.95%
72 T5 ATT53 one pair 384 0.62% 1 : 161 86.33%
73 T4 ATT43 one pair 384 0.62% 1 : 161 85.71%
74 T2 ATT32 one pair 384 0.62% 1 : 161 85.09%
75 99 AT993 one pair 384 0.62% 1 : 161 84.47%
76 88 AT883 one pair 384 0.62% 1 : 161 83.86%
77 77 AT773 one pair 384 0.62% 1 : 161 83.24%
78 66 AT663 one pair 384 0.62% 1 : 161 82.62%
79 55 AT553 one pair 384 0.62% 1 : 161 82.00%
80 44 AT443 one pair 384 0.62% 1 : 161 81.38%
81 K3 AKT33 one pair 384 0.62% 1 : 161 80.76%
82 Q3 AQT33 one pair 384 0.62% 1 : 161 80.14%
83 J3 AJT33 one pair 384 0.62% 1 : 161 79.52%
84 93 AT933 one pair 384 0.62% 1 : 161 78.91%
85 83 AT833 one pair 384 0.62% 1 : 161 78.29%
86 73 AT733 one pair 384 0.62% 1 : 161 77.67%
87 63 AT633 one pair 384 0.62% 1 : 161 77.05%
88 53 AT533 one pair 384 0.62% 1 : 161 76.43%
89 43 AT433 one pair 384 0.62% 1 : 161 75.81%
90 32 AT332 one pair 384 0.62% 1 : 161 75.19%
91 22 AT322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQT3 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKT83 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKT73 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKT63 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKT53 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AKT43 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKT32 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQT83 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQT73 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQT63 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQT53 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQT43 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQT32 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 AJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 AT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AT873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AT863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AT853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 AT843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AT832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AT763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AT753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 AT743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AT732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AT653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 AT643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AT632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 AT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 AT532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 AT432 high card 1,020 1.64% 1 : 59.8 1.64%