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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 AKQJ4 flush 4 0.01% 1 : 15515 100.00%
2 QTs AKQT4 flush 4 0.01% 1 : 15515 99.99%
3 Q9s AKQ94 flush 4 0.01% 1 : 15515 99.99%
4 Q8s AKQ84 flush 4 0.01% 1 : 15515 99.98%
5 Q7s AKQ74 flush 4 0.01% 1 : 15515 99.97%
6 Q6s AKQ64 flush 4 0.01% 1 : 15515 99.97%
7 Q5s AKQ54 flush 4 0.01% 1 : 15515 99.96%
8 Q3s AKQ43 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQ42 flush 4 0.01% 1 : 15515 99.95%
10 JTs AKJT4 flush 4 0.01% 1 : 15515 99.94%
11 J9s AKJ94 flush 4 0.01% 1 : 15515 99.94%
12 J8s AKJ84 flush 4 0.01% 1 : 15515 99.93%
13 J7s AKJ74 flush 4 0.01% 1 : 15515 99.92%
14 J6s AKJ64 flush 4 0.01% 1 : 15515 99.92%
15 J5s AKJ54 flush 4 0.01% 1 : 15515 99.91%
16 J3s AKJ43 flush 4 0.01% 1 : 15515 99.90%
17 J2s AKJ42 flush 4 0.01% 1 : 15515 99.90%
18 T9s AKT94 flush 4 0.01% 1 : 15515 99.89%
19 T8s AKT84 flush 4 0.01% 1 : 15515 99.88%
20 T7s AKT74 flush 4 0.01% 1 : 15515 99.88%
21 T6s AKT64 flush 4 0.01% 1 : 15515 99.87%
22 T5s AKT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s AKT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s AKT42 flush 4 0.01% 1 : 15515 99.85%
25 98s AK984 flush 4 0.01% 1 : 15515 99.85%
26 97s AK974 flush 4 0.01% 1 : 15515 99.84%
27 96s AK964 flush 4 0.01% 1 : 15515 99.83%
28 95s AK954 flush 4 0.01% 1 : 15515 99.83%
29 93s AK943 flush 4 0.01% 1 : 15515 99.82%
30 92s AK942 flush 4 0.01% 1 : 15515 99.81%
31 87s AK874 flush 4 0.01% 1 : 15515 99.81%
32 86s AK864 flush 4 0.01% 1 : 15515 99.80%
33 85s AK854 flush 4 0.01% 1 : 15515 99.79%
34 83s AK843 flush 4 0.01% 1 : 15515 99.79%
35 82s AK842 flush 4 0.01% 1 : 15515 99.78%
36 76s AK764 flush 4 0.01% 1 : 15515 99.77%
37 75s AK754 flush 4 0.01% 1 : 15515 99.77%
38 73s AK743 flush 4 0.01% 1 : 15515 99.76%
39 72s AK742 flush 4 0.01% 1 : 15515 99.76%
40 65s AK654 flush 4 0.01% 1 : 15515 99.75%
41 63s AK643 flush 4 0.01% 1 : 15515 99.74%
42 62s AK642 flush 4 0.01% 1 : 15515 99.74%
43 53s AK543 flush 4 0.01% 1 : 15515 99.73%
44 52s AK542 flush 4 0.01% 1 : 15515 99.72%
45 32s AK432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAK4 three of a kind 64 0.10% 1 : 969 99.71%
47 KK AKKK4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 AK444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AK AAKK4 two pairs 144 0.23% 1 : 430 99.40%
50 A4 AAK44 two pairs 144 0.23% 1 : 430 99.17%
51 K4 AKK44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AQ AAKQ4 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAKJ4 one pair 384 0.62% 1 : 161 98.09%
54 AT AAKT4 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAK94 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAK84 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAK74 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAK64 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAK54 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAK43 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAK42 one pair 384 0.62% 1 : 161 93.14%
62 KQ AKKQ4 one pair 384 0.62% 1 : 161 92.52%
63 KJ AKKJ4 one pair 384 0.62% 1 : 161 91.90%
64 KT AKKT4 one pair 384 0.62% 1 : 161 91.28%
65 K9 AKK94 one pair 384 0.62% 1 : 161 90.66%
66 K8 AKK84 one pair 384 0.62% 1 : 161 90.04%
67 K7 AKK74 one pair 384 0.62% 1 : 161 89.42%
68 K6 AKK64 one pair 384 0.62% 1 : 161 88.81%
69 K5 AKK54 one pair 384 0.62% 1 : 161 88.19%
70 K3 AKK43 one pair 384 0.62% 1 : 161 87.57%
71 K2 AKK42 one pair 384 0.62% 1 : 161 86.95%
72 QQ AKQQ4 one pair 384 0.62% 1 : 161 86.33%
73 JJ AKJJ4 one pair 384 0.62% 1 : 161 85.71%
74 TT AKTT4 one pair 384 0.62% 1 : 161 85.09%
75 99 AK994 one pair 384 0.62% 1 : 161 84.47%
76 88 AK884 one pair 384 0.62% 1 : 161 83.86%
77 77 AK774 one pair 384 0.62% 1 : 161 83.24%
78 66 AK664 one pair 384 0.62% 1 : 161 82.62%
79 55 AK554 one pair 384 0.62% 1 : 161 82.00%
80 Q4 AKQ44 one pair 384 0.62% 1 : 161 81.38%
81 J4 AKJ44 one pair 384 0.62% 1 : 161 80.76%
82 T4 AKT44 one pair 384 0.62% 1 : 161 80.14%
83 94 AK944 one pair 384 0.62% 1 : 161 79.52%
84 84 AK844 one pair 384 0.62% 1 : 161 78.91%
85 74 AK744 one pair 384 0.62% 1 : 161 78.29%
86 64 AK644 one pair 384 0.62% 1 : 161 77.67%
87 54 AK544 one pair 384 0.62% 1 : 161 77.05%
88 43 AK443 one pair 384 0.62% 1 : 161 76.43%
89 42 AK442 one pair 384 0.62% 1 : 161 75.81%
90 33 AK433 one pair 384 0.62% 1 : 161 75.19%
91 22 AK422 one pair 384 0.62% 1 : 161 74.57%
 
92 QJ AKQJ4 high card 1,020 1.64% 1 : 59.8 73.96%
93 QT AKQT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q9 AKQ94 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q8 AKQ84 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q7 AKQ74 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q6 AKQ64 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q5 AKQ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q3 AKQ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQ42 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AKJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AKJ94 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AKJ84 high card 1,020 1.64% 1 : 59.8 55.88%
104 J7 AKJ74 high card 1,020 1.64% 1 : 59.8 54.23%
105 J6 AKJ64 high card 1,020 1.64% 1 : 59.8 52.59%
106 J5 AKJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AKJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AKJ42 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AKT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AKT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AKT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AKT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AKT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AKT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AKT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AK984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AK974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AK964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AK954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AK943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AK942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AK874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AK864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AK854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AK843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AK842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AK764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AK754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AK743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AK742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AK654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 AK643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AK642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 AK543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 AK542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AK432 high card 1,020 1.64% 1 : 59.8 1.64%