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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 AKQ95 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ95 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AK985 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK975 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK965 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK954 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK953 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK952 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ95 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT95 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQ985 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ975 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ965 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ954 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ953 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ952 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT95 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJ985 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ975 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ965 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ954 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ953 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ952 flush 4 0.01% 1 : 15515 99.85%
25 T8s KT985 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT975 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT965 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT954 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT953 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT952 flush 4 0.01% 1 : 15515 99.81%
31 87s K9875 flush 4 0.01% 1 : 15515 99.81%
32 86s K9865 flush 4 0.01% 1 : 15515 99.80%
33 84s K9854 flush 4 0.01% 1 : 15515 99.79%
34 83s K9853 flush 4 0.01% 1 : 15515 99.79%
35 82s K9852 flush 4 0.01% 1 : 15515 99.78%
36 76s K9765 flush 4 0.01% 1 : 15515 99.77%
37 74s K9754 flush 4 0.01% 1 : 15515 99.77%
38 73s K9753 flush 4 0.01% 1 : 15515 99.76%
39 72s K9752 flush 4 0.01% 1 : 15515 99.76%
40 64s K9654 flush 4 0.01% 1 : 15515 99.75%
41 63s K9653 flush 4 0.01% 1 : 15515 99.74%
42 62s K9652 flush 4 0.01% 1 : 15515 99.74%
43 43s K9543 flush 4 0.01% 1 : 15515 99.73%
44 42s K9542 flush 4 0.01% 1 : 15515 99.72%
45 32s K9532 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK95 three of a kind 64 0.10% 1 : 969 99.71%
47 99 K9995 three of a kind 64 0.10% 1 : 969 99.61%
48 55 K9555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K9 KK995 two pairs 144 0.23% 1 : 430 99.40%
50 K5 KK955 two pairs 144 0.23% 1 : 430 99.17%
51 95 K9955 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK95 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK95 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ95 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ95 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT95 one pair 384 0.62% 1 : 161 96.23%
57 K8 KK985 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK975 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK965 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK954 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK953 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK952 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ95 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ95 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT95 one pair 384 0.62% 1 : 161 90.66%
66 A9 AK995 one pair 384 0.62% 1 : 161 90.04%
67 Q9 KQ995 one pair 384 0.62% 1 : 161 89.42%
68 J9 KJ995 one pair 384 0.62% 1 : 161 88.81%
69 T9 KT995 one pair 384 0.62% 1 : 161 88.19%
70 98 K9985 one pair 384 0.62% 1 : 161 87.57%
71 97 K9975 one pair 384 0.62% 1 : 161 86.95%
72 96 K9965 one pair 384 0.62% 1 : 161 86.33%
73 94 K9954 one pair 384 0.62% 1 : 161 85.71%
74 93 K9953 one pair 384 0.62% 1 : 161 85.09%
75 92 K9952 one pair 384 0.62% 1 : 161 84.47%
76 88 K9885 one pair 384 0.62% 1 : 161 83.86%
77 77 K9775 one pair 384 0.62% 1 : 161 83.24%
78 66 K9665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AK955 one pair 384 0.62% 1 : 161 82.00%
80 Q5 KQ955 one pair 384 0.62% 1 : 161 81.38%
81 J5 KJ955 one pair 384 0.62% 1 : 161 80.76%
82 T5 KT955 one pair 384 0.62% 1 : 161 80.14%
83 85 K9855 one pair 384 0.62% 1 : 161 79.52%
84 75 K9755 one pair 384 0.62% 1 : 161 78.91%
85 65 K9655 one pair 384 0.62% 1 : 161 78.29%
86 54 K9554 one pair 384 0.62% 1 : 161 77.67%
87 53 K9553 one pair 384 0.62% 1 : 161 77.05%
88 52 K9552 one pair 384 0.62% 1 : 161 76.43%
89 44 K9544 one pair 384 0.62% 1 : 161 75.81%
90 33 K9533 one pair 384 0.62% 1 : 161 75.19%
91 22 K9522 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ95 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ95 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AK985 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK975 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK965 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK954 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK953 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK952 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ95 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQ985 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ975 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ965 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ954 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ953 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ952 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJ985 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ975 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ965 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ954 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ953 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ952 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 KT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 K9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 K9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 K9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 K9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 K9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 K9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 K9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 K9753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 K9752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 K9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 K9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K9532 high card 1,020 1.64% 1 : 59.8 1.64%