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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 AKQT5 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJT5 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKT95 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKT85 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKT75 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKT65 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKT54 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKT53 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKT52 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJT5 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQT95 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQT85 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQT75 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQT65 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQT54 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQT53 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQT52 flush 4 0.01% 1 : 15515 99.90%
18 J9s AJT95 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJT85 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJT75 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJT65 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJT54 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJT53 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJT52 flush 4 0.01% 1 : 15515 99.85%
25 98s AT985 flush 4 0.01% 1 : 15515 99.85%
26 97s AT975 flush 4 0.01% 1 : 15515 99.84%
27 96s AT965 flush 4 0.01% 1 : 15515 99.83%
28 94s AT954 flush 4 0.01% 1 : 15515 99.83%
29 93s AT953 flush 4 0.01% 1 : 15515 99.82%
30 92s AT952 flush 4 0.01% 1 : 15515 99.81%
31 87s AT875 flush 4 0.01% 1 : 15515 99.81%
32 86s AT865 flush 4 0.01% 1 : 15515 99.80%
33 84s AT854 flush 4 0.01% 1 : 15515 99.79%
34 83s AT853 flush 4 0.01% 1 : 15515 99.79%
35 82s AT852 flush 4 0.01% 1 : 15515 99.78%
36 76s AT765 flush 4 0.01% 1 : 15515 99.77%
37 74s AT754 flush 4 0.01% 1 : 15515 99.77%
38 73s AT753 flush 4 0.01% 1 : 15515 99.76%
39 72s AT752 flush 4 0.01% 1 : 15515 99.76%
40 64s AT654 flush 4 0.01% 1 : 15515 99.75%
41 63s AT653 flush 4 0.01% 1 : 15515 99.74%
42 62s AT652 flush 4 0.01% 1 : 15515 99.74%
43 43s AT543 flush 4 0.01% 1 : 15515 99.73%
44 42s AT542 flush 4 0.01% 1 : 15515 99.72%
45 32s AT532 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAT5 three of a kind 64 0.10% 1 : 969 99.71%
47 TT ATTT5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 AT555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AT AATT5 two pairs 144 0.23% 1 : 430 99.40%
50 A5 AAT55 two pairs 144 0.23% 1 : 430 99.17%
51 T5 ATT55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKT5 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQT5 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJT5 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAT95 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAT85 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAT75 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAT65 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAT54 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAT53 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAT52 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKT5 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQT5 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJT5 one pair 384 0.62% 1 : 161 91.28%
65 KT AKTT5 one pair 384 0.62% 1 : 161 90.66%
66 QT AQTT5 one pair 384 0.62% 1 : 161 90.04%
67 JT AJTT5 one pair 384 0.62% 1 : 161 89.42%
68 T9 ATT95 one pair 384 0.62% 1 : 161 88.81%
69 T8 ATT85 one pair 384 0.62% 1 : 161 88.19%
70 T7 ATT75 one pair 384 0.62% 1 : 161 87.57%
71 T6 ATT65 one pair 384 0.62% 1 : 161 86.95%
72 T4 ATT54 one pair 384 0.62% 1 : 161 86.33%
73 T3 ATT53 one pair 384 0.62% 1 : 161 85.71%
74 T2 ATT52 one pair 384 0.62% 1 : 161 85.09%
75 99 AT995 one pair 384 0.62% 1 : 161 84.47%
76 88 AT885 one pair 384 0.62% 1 : 161 83.86%
77 77 AT775 one pair 384 0.62% 1 : 161 83.24%
78 66 AT665 one pair 384 0.62% 1 : 161 82.62%
79 K5 AKT55 one pair 384 0.62% 1 : 161 82.00%
80 Q5 AQT55 one pair 384 0.62% 1 : 161 81.38%
81 J5 AJT55 one pair 384 0.62% 1 : 161 80.76%
82 95 AT955 one pair 384 0.62% 1 : 161 80.14%
83 85 AT855 one pair 384 0.62% 1 : 161 79.52%
84 75 AT755 one pair 384 0.62% 1 : 161 78.91%
85 65 AT655 one pair 384 0.62% 1 : 161 78.29%
86 54 AT554 one pair 384 0.62% 1 : 161 77.67%
87 53 AT553 one pair 384 0.62% 1 : 161 77.05%
88 52 AT552 one pair 384 0.62% 1 : 161 76.43%
89 44 AT544 one pair 384 0.62% 1 : 161 75.81%
90 33 AT533 one pair 384 0.62% 1 : 161 75.19%
91 22 AT522 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQT5 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKT85 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKT75 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKT65 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKT54 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKT53 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKT52 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQT85 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQT75 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQT65 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQT54 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQT53 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQT52 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 AJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AT875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AT865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AT854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AT853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AT852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 AT754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AT753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AT752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 AT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 AT653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AT652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AT542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AT532 high card 1,020 1.64% 1 : 59.8 1.64%