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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 AKQ54 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ54 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT54 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK954 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK854 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK754 flush 4 0.01% 1 : 15515 99.97%
7 A6s AK654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK542 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ54 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT54 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ954 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ854 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ754 flush 4 0.01% 1 : 15515 99.92%
15 Q6s KQ654 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ543 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ542 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT54 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ954 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ854 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ754 flush 4 0.01% 1 : 15515 99.87%
22 J6s KJ654 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ543 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ542 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT954 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT854 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT754 flush 4 0.01% 1 : 15515 99.83%
28 T6s KT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT542 flush 4 0.01% 1 : 15515 99.81%
31 98s K9854 flush 4 0.01% 1 : 15515 99.81%
32 97s K9754 flush 4 0.01% 1 : 15515 99.80%
33 96s K9654 flush 4 0.01% 1 : 15515 99.79%
34 93s K9543 flush 4 0.01% 1 : 15515 99.79%
35 92s K9542 flush 4 0.01% 1 : 15515 99.78%
36 87s K8754 flush 4 0.01% 1 : 15515 99.77%
37 86s K8654 flush 4 0.01% 1 : 15515 99.77%
38 83s K8543 flush 4 0.01% 1 : 15515 99.76%
39 82s K8542 flush 4 0.01% 1 : 15515 99.76%
40 76s K7654 flush 4 0.01% 1 : 15515 99.75%
41 73s K7543 flush 4 0.01% 1 : 15515 99.74%
42 72s K7542 flush 4 0.01% 1 : 15515 99.74%
43 63s K6543 flush 4 0.01% 1 : 15515 99.73%
44 62s K6542 flush 4 0.01% 1 : 15515 99.72%
45 32s K5432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK54 three of a kind 64 0.10% 1 : 969 99.71%
47 55 K5554 three of a kind 64 0.10% 1 : 969 99.61%
48 44 K5444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K5 KK554 two pairs 144 0.23% 1 : 430 99.40%
50 K4 KK544 two pairs 144 0.23% 1 : 430 99.17%
51 54 K5544 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK54 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK54 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ54 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ54 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT54 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK954 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK854 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK754 one pair 384 0.62% 1 : 161 94.37%
60 K6 KK654 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK543 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK542 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ54 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ54 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT54 one pair 384 0.62% 1 : 161 90.66%
66 99 K9954 one pair 384 0.62% 1 : 161 90.04%
67 88 K8854 one pair 384 0.62% 1 : 161 89.42%
68 77 K7754 one pair 384 0.62% 1 : 161 88.81%
69 66 K6654 one pair 384 0.62% 1 : 161 88.19%
70 A5 AK554 one pair 384 0.62% 1 : 161 87.57%
71 Q5 KQ554 one pair 384 0.62% 1 : 161 86.95%
72 J5 KJ554 one pair 384 0.62% 1 : 161 86.33%
73 T5 KT554 one pair 384 0.62% 1 : 161 85.71%
74 95 K9554 one pair 384 0.62% 1 : 161 85.09%
75 85 K8554 one pair 384 0.62% 1 : 161 84.47%
76 75 K7554 one pair 384 0.62% 1 : 161 83.86%
77 65 K6554 one pair 384 0.62% 1 : 161 83.24%
78 53 K5543 one pair 384 0.62% 1 : 161 82.62%
79 52 K5542 one pair 384 0.62% 1 : 161 82.00%
80 A4 AK544 one pair 384 0.62% 1 : 161 81.38%
81 Q4 KQ544 one pair 384 0.62% 1 : 161 80.76%
82 J4 KJ544 one pair 384 0.62% 1 : 161 80.14%
83 T4 KT544 one pair 384 0.62% 1 : 161 79.52%
84 94 K9544 one pair 384 0.62% 1 : 161 78.91%
85 84 K8544 one pair 384 0.62% 1 : 161 78.29%
86 74 K7544 one pair 384 0.62% 1 : 161 77.67%
87 64 K6544 one pair 384 0.62% 1 : 161 77.05%
88 43 K5443 one pair 384 0.62% 1 : 161 76.43%
89 42 K5442 one pair 384 0.62% 1 : 161 75.81%
90 33 K5433 one pair 384 0.62% 1 : 161 75.19%
91 22 K5422 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ54 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ54 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT54 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK954 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK854 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK754 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AK654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK542 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ54 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT54 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ954 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ854 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ754 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q6 KQ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ542 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT54 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ954 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ854 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ754 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 KJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ542 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT954 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT854 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT754 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 KT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT542 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9854 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9754 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 K9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9542 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8754 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 K8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 K8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8542 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 K7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 K7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 K7542 high card 1,020 1.64% 1 : 59.8 6.57%
134 63 K6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 K6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K5432 high card 1,020 1.64% 1 : 59.8 1.64%