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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 QJs AKQJ3 flush 4 0.01% 1 : 15515 100.00%
2 QTs AKQT3 flush 4 0.01% 1 : 15515 99.99%
3 Q9s AKQ93 flush 4 0.01% 1 : 15515 99.99%
4 Q8s AKQ83 flush 4 0.01% 1 : 15515 99.98%
5 Q7s AKQ73 flush 4 0.01% 1 : 15515 99.97%
6 Q6s AKQ63 flush 4 0.01% 1 : 15515 99.97%
7 Q5s AKQ53 flush 4 0.01% 1 : 15515 99.96%
8 Q4s AKQ43 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQ32 flush 4 0.01% 1 : 15515 99.95%
10 JTs AKJT3 flush 4 0.01% 1 : 15515 99.94%
11 J9s AKJ93 flush 4 0.01% 1 : 15515 99.94%
12 J8s AKJ83 flush 4 0.01% 1 : 15515 99.93%
13 J7s AKJ73 flush 4 0.01% 1 : 15515 99.92%
14 J6s AKJ63 flush 4 0.01% 1 : 15515 99.92%
15 J5s AKJ53 flush 4 0.01% 1 : 15515 99.91%
16 J4s AKJ43 flush 4 0.01% 1 : 15515 99.90%
17 J2s AKJ32 flush 4 0.01% 1 : 15515 99.90%
18 T9s AKT93 flush 4 0.01% 1 : 15515 99.89%
19 T8s AKT83 flush 4 0.01% 1 : 15515 99.88%
20 T7s AKT73 flush 4 0.01% 1 : 15515 99.88%
21 T6s AKT63 flush 4 0.01% 1 : 15515 99.87%
22 T5s AKT53 flush 4 0.01% 1 : 15515 99.86%
23 T4s AKT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s AKT32 flush 4 0.01% 1 : 15515 99.85%
25 98s AK983 flush 4 0.01% 1 : 15515 99.85%
26 97s AK973 flush 4 0.01% 1 : 15515 99.84%
27 96s AK963 flush 4 0.01% 1 : 15515 99.83%
28 95s AK953 flush 4 0.01% 1 : 15515 99.83%
29 94s AK943 flush 4 0.01% 1 : 15515 99.82%
30 92s AK932 flush 4 0.01% 1 : 15515 99.81%
31 87s AK873 flush 4 0.01% 1 : 15515 99.81%
32 86s AK863 flush 4 0.01% 1 : 15515 99.80%
33 85s AK853 flush 4 0.01% 1 : 15515 99.79%
34 84s AK843 flush 4 0.01% 1 : 15515 99.79%
35 82s AK832 flush 4 0.01% 1 : 15515 99.78%
36 76s AK763 flush 4 0.01% 1 : 15515 99.77%
37 75s AK753 flush 4 0.01% 1 : 15515 99.77%
38 74s AK743 flush 4 0.01% 1 : 15515 99.76%
39 72s AK732 flush 4 0.01% 1 : 15515 99.76%
40 65s AK653 flush 4 0.01% 1 : 15515 99.75%
41 64s AK643 flush 4 0.01% 1 : 15515 99.74%
42 62s AK632 flush 4 0.01% 1 : 15515 99.74%
43 54s AK543 flush 4 0.01% 1 : 15515 99.73%
44 52s AK532 flush 4 0.01% 1 : 15515 99.72%
45 42s AK432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAK3 three of a kind 64 0.10% 1 : 969 99.71%
47 KK AKKK3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 AK333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AK AAKK3 two pairs 144 0.23% 1 : 430 99.40%
50 A3 AAK33 two pairs 144 0.23% 1 : 430 99.17%
51 K3 AKK33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AQ AAKQ3 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAKJ3 one pair 384 0.62% 1 : 161 98.09%
54 AT AAKT3 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAK93 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAK83 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAK73 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAK63 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAK53 one pair 384 0.62% 1 : 161 94.37%
60 A4 AAK43 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAK32 one pair 384 0.62% 1 : 161 93.14%
62 KQ AKKQ3 one pair 384 0.62% 1 : 161 92.52%
63 KJ AKKJ3 one pair 384 0.62% 1 : 161 91.90%
64 KT AKKT3 one pair 384 0.62% 1 : 161 91.28%
65 K9 AKK93 one pair 384 0.62% 1 : 161 90.66%
66 K8 AKK83 one pair 384 0.62% 1 : 161 90.04%
67 K7 AKK73 one pair 384 0.62% 1 : 161 89.42%
68 K6 AKK63 one pair 384 0.62% 1 : 161 88.81%
69 K5 AKK53 one pair 384 0.62% 1 : 161 88.19%
70 K4 AKK43 one pair 384 0.62% 1 : 161 87.57%
71 K2 AKK32 one pair 384 0.62% 1 : 161 86.95%
72 QQ AKQQ3 one pair 384 0.62% 1 : 161 86.33%
73 JJ AKJJ3 one pair 384 0.62% 1 : 161 85.71%
74 TT AKTT3 one pair 384 0.62% 1 : 161 85.09%
75 99 AK993 one pair 384 0.62% 1 : 161 84.47%
76 88 AK883 one pair 384 0.62% 1 : 161 83.86%
77 77 AK773 one pair 384 0.62% 1 : 161 83.24%
78 66 AK663 one pair 384 0.62% 1 : 161 82.62%
79 55 AK553 one pair 384 0.62% 1 : 161 82.00%
80 44 AK443 one pair 384 0.62% 1 : 161 81.38%
81 Q3 AKQ33 one pair 384 0.62% 1 : 161 80.76%
82 J3 AKJ33 one pair 384 0.62% 1 : 161 80.14%
83 T3 AKT33 one pair 384 0.62% 1 : 161 79.52%
84 93 AK933 one pair 384 0.62% 1 : 161 78.91%
85 83 AK833 one pair 384 0.62% 1 : 161 78.29%
86 73 AK733 one pair 384 0.62% 1 : 161 77.67%
87 63 AK633 one pair 384 0.62% 1 : 161 77.05%
88 53 AK533 one pair 384 0.62% 1 : 161 76.43%
89 43 AK433 one pair 384 0.62% 1 : 161 75.81%
90 32 AK332 one pair 384 0.62% 1 : 161 75.19%
91 22 AK322 one pair 384 0.62% 1 : 161 74.57%
 
92 QJ AKQJ3 high card 1,020 1.64% 1 : 59.8 73.96%
93 QT AKQT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q9 AKQ93 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q8 AKQ83 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q7 AKQ73 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q6 AKQ63 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q5 AKQ53 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q4 AKQ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQ32 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AKJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AKJ93 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AKJ83 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AKJ73 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 AKJ63 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 AKJ53 high card 1,020 1.64% 1 : 59.8 50.95%
107 J4 AKJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AKJ32 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AKT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AKT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AKT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AKT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AKT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 T4 AKT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AKT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AK983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AK973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AK963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AK953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 AK943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AK932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AK873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AK863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AK853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 AK843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AK832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AK763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AK753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 AK743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AK732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AK653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 AK643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AK632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 AK543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 AK532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 AK432 high card 1,020 1.64% 1 : 59.8 1.64%