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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 KQs AKQ95 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ95 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT95 flush 4 0.01% 1 : 15515 99.99%
4 K8s AK985 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK975 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK965 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK954 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK953 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK952 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ95 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT95 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQ985 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ975 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ965 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ954 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ953 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ952 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT95 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJ985 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ975 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ965 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ954 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ953 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ952 flush 4 0.01% 1 : 15515 99.85%
25 T8s AT985 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT975 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT965 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT954 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT953 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT952 flush 4 0.01% 1 : 15515 99.81%
31 87s A9875 flush 4 0.01% 1 : 15515 99.81%
32 86s A9865 flush 4 0.01% 1 : 15515 99.80%
33 84s A9854 flush 4 0.01% 1 : 15515 99.79%
34 83s A9853 flush 4 0.01% 1 : 15515 99.79%
35 82s A9852 flush 4 0.01% 1 : 15515 99.78%
36 76s A9765 flush 4 0.01% 1 : 15515 99.77%
37 74s A9754 flush 4 0.01% 1 : 15515 99.77%
38 73s A9753 flush 4 0.01% 1 : 15515 99.76%
39 72s A9752 flush 4 0.01% 1 : 15515 99.76%
40 64s A9654 flush 4 0.01% 1 : 15515 99.75%
41 63s A9653 flush 4 0.01% 1 : 15515 99.74%
42 62s A9652 flush 4 0.01% 1 : 15515 99.74%
43 43s A9543 flush 4 0.01% 1 : 15515 99.73%
44 42s A9542 flush 4 0.01% 1 : 15515 99.72%
45 32s A9532 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA95 three of a kind 64 0.10% 1 : 969 99.71%
47 99 A9995 three of a kind 64 0.10% 1 : 969 99.61%
48 55 A9555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A9 AA995 two pairs 144 0.23% 1 : 430 99.40%
50 A5 AA955 two pairs 144 0.23% 1 : 430 99.17%
51 95 A9955 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK95 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ95 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ95 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT95 one pair 384 0.62% 1 : 161 96.85%
56 A8 AA985 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA975 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA965 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA954 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA953 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA952 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK95 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ95 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ95 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT95 one pair 384 0.62% 1 : 161 90.66%
66 K9 AK995 one pair 384 0.62% 1 : 161 90.04%
67 Q9 AQ995 one pair 384 0.62% 1 : 161 89.42%
68 J9 AJ995 one pair 384 0.62% 1 : 161 88.81%
69 T9 AT995 one pair 384 0.62% 1 : 161 88.19%
70 98 A9985 one pair 384 0.62% 1 : 161 87.57%
71 97 A9975 one pair 384 0.62% 1 : 161 86.95%
72 96 A9965 one pair 384 0.62% 1 : 161 86.33%
73 94 A9954 one pair 384 0.62% 1 : 161 85.71%
74 93 A9953 one pair 384 0.62% 1 : 161 85.09%
75 92 A9952 one pair 384 0.62% 1 : 161 84.47%
76 88 A9885 one pair 384 0.62% 1 : 161 83.86%
77 77 A9775 one pair 384 0.62% 1 : 161 83.24%
78 66 A9665 one pair 384 0.62% 1 : 161 82.62%
79 K5 AK955 one pair 384 0.62% 1 : 161 82.00%
80 Q5 AQ955 one pair 384 0.62% 1 : 161 81.38%
81 J5 AJ955 one pair 384 0.62% 1 : 161 80.76%
82 T5 AT955 one pair 384 0.62% 1 : 161 80.14%
83 85 A9855 one pair 384 0.62% 1 : 161 79.52%
84 75 A9755 one pair 384 0.62% 1 : 161 78.91%
85 65 A9655 one pair 384 0.62% 1 : 161 78.29%
86 54 A9554 one pair 384 0.62% 1 : 161 77.67%
87 53 A9553 one pair 384 0.62% 1 : 161 77.05%
88 52 A9552 one pair 384 0.62% 1 : 161 76.43%
89 44 A9544 one pair 384 0.62% 1 : 161 75.81%
90 33 A9533 one pair 384 0.62% 1 : 161 75.19%
91 22 A9522 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ95 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ95 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AK985 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK975 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK965 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK954 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK953 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK952 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ95 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQ985 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ975 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ965 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ954 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ953 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ952 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJ985 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ975 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ965 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ954 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ953 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ952 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 AT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 A9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 A9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 A9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 A9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 A9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 A9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 A9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 A9753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 A9752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 A9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 A9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A9532 high card 1,020 1.64% 1 : 59.8 1.64%