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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 AQs AKQJ4 flush 4 0.01% 1 : 15515 100.00%
2 ATs AKJT4 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKJ94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKJ84 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKJ74 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKJ64 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKJ54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKJ43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKJ42 flush 4 0.01% 1 : 15515 99.95%
10 QTs KQJT4 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQJ94 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQJ84 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQJ74 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQJ64 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQJ54 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQJ43 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQJ42 flush 4 0.01% 1 : 15515 99.90%
18 T9s KJT94 flush 4 0.01% 1 : 15515 99.89%
19 T8s KJT84 flush 4 0.01% 1 : 15515 99.88%
20 T7s KJT74 flush 4 0.01% 1 : 15515 99.88%
21 T6s KJT64 flush 4 0.01% 1 : 15515 99.87%
22 T5s KJT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s KJT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s KJT42 flush 4 0.01% 1 : 15515 99.85%
25 98s KJ984 flush 4 0.01% 1 : 15515 99.85%
26 97s KJ974 flush 4 0.01% 1 : 15515 99.84%
27 96s KJ964 flush 4 0.01% 1 : 15515 99.83%
28 95s KJ954 flush 4 0.01% 1 : 15515 99.83%
29 93s KJ943 flush 4 0.01% 1 : 15515 99.82%
30 92s KJ942 flush 4 0.01% 1 : 15515 99.81%
31 87s KJ874 flush 4 0.01% 1 : 15515 99.81%
32 86s KJ864 flush 4 0.01% 1 : 15515 99.80%
33 85s KJ854 flush 4 0.01% 1 : 15515 99.79%
34 83s KJ843 flush 4 0.01% 1 : 15515 99.79%
35 82s KJ842 flush 4 0.01% 1 : 15515 99.78%
36 76s KJ764 flush 4 0.01% 1 : 15515 99.77%
37 75s KJ754 flush 4 0.01% 1 : 15515 99.77%
38 73s KJ743 flush 4 0.01% 1 : 15515 99.76%
39 72s KJ742 flush 4 0.01% 1 : 15515 99.76%
40 65s KJ654 flush 4 0.01% 1 : 15515 99.75%
41 63s KJ643 flush 4 0.01% 1 : 15515 99.74%
42 62s KJ642 flush 4 0.01% 1 : 15515 99.74%
43 53s KJ543 flush 4 0.01% 1 : 15515 99.73%
44 52s KJ542 flush 4 0.01% 1 : 15515 99.72%
45 32s KJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKJ4 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ KJJJ4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 KJ444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KJ KKJJ4 two pairs 144 0.23% 1 : 430 99.40%
50 K4 KKJ44 two pairs 144 0.23% 1 : 430 99.17%
51 J4 KJJ44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKJ4 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKJ4 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQJ4 one pair 384 0.62% 1 : 161 97.47%
55 KT KKJT4 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKJ94 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKJ84 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKJ74 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKJ64 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKJ54 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKJ43 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKJ42 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQJ4 one pair 384 0.62% 1 : 161 91.90%
64 AJ AKJJ4 one pair 384 0.62% 1 : 161 91.28%
65 QJ KQJJ4 one pair 384 0.62% 1 : 161 90.66%
66 JT KJJT4 one pair 384 0.62% 1 : 161 90.04%
67 J9 KJJ94 one pair 384 0.62% 1 : 161 89.42%
68 J8 KJJ84 one pair 384 0.62% 1 : 161 88.81%
69 J7 KJJ74 one pair 384 0.62% 1 : 161 88.19%
70 J6 KJJ64 one pair 384 0.62% 1 : 161 87.57%
71 J5 KJJ54 one pair 384 0.62% 1 : 161 86.95%
72 J3 KJJ43 one pair 384 0.62% 1 : 161 86.33%
73 J2 KJJ42 one pair 384 0.62% 1 : 161 85.71%
74 TT KJTT4 one pair 384 0.62% 1 : 161 85.09%
75 99 KJ994 one pair 384 0.62% 1 : 161 84.47%
76 88 KJ884 one pair 384 0.62% 1 : 161 83.86%
77 77 KJ774 one pair 384 0.62% 1 : 161 83.24%
78 66 KJ664 one pair 384 0.62% 1 : 161 82.62%
79 55 KJ554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AKJ44 one pair 384 0.62% 1 : 161 81.38%
81 Q4 KQJ44 one pair 384 0.62% 1 : 161 80.76%
82 T4 KJT44 one pair 384 0.62% 1 : 161 80.14%
83 94 KJ944 one pair 384 0.62% 1 : 161 79.52%
84 84 KJ844 one pair 384 0.62% 1 : 161 78.91%
85 74 KJ744 one pair 384 0.62% 1 : 161 78.29%
86 64 KJ644 one pair 384 0.62% 1 : 161 77.67%
87 54 KJ544 one pair 384 0.62% 1 : 161 77.05%
88 43 KJ443 one pair 384 0.62% 1 : 161 76.43%
89 42 KJ442 one pair 384 0.62% 1 : 161 75.81%
90 33 KJ433 one pair 384 0.62% 1 : 161 75.19%
91 22 KJ422 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQJ4 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AKJT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKJ94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKJ84 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKJ74 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKJ64 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKJ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKJ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKJ42 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT KQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQJ94 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQJ84 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQJ74 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQJ64 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQJ42 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 KJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 KJT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 KJT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 KJT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 KJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 KJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 KJT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KJ984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KJ974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KJ964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KJ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KJ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KJ942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KJ874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KJ864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KJ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KJ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KJ842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KJ764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KJ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KJ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KJ742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 KJ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KJ642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 KJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 KJ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KJ432 high card 1,020 1.64% 1 : 59.8 1.64%