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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 AKs AKT95 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT95 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AT985 flush 4 0.01% 1 : 15515 99.98%
5 A7s AT975 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT965 flush 4 0.01% 1 : 15515 99.97%
7 A4s AT954 flush 4 0.01% 1 : 15515 99.96%
8 A3s AT953 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT952 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT95 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT95 flush 4 0.01% 1 : 15515 99.94%
12 K8s KT985 flush 4 0.01% 1 : 15515 99.93%
13 K7s KT975 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT965 flush 4 0.01% 1 : 15515 99.92%
15 K4s KT954 flush 4 0.01% 1 : 15515 99.91%
16 K3s KT953 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT952 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT95 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QT985 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QT975 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT965 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QT954 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QT953 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT952 flush 4 0.01% 1 : 15515 99.85%
25 J8s JT985 flush 4 0.01% 1 : 15515 99.85%
26 J7s JT975 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT965 flush 4 0.01% 1 : 15515 99.83%
28 J4s JT954 flush 4 0.01% 1 : 15515 99.83%
29 J3s JT953 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT952 flush 4 0.01% 1 : 15515 99.81%
31 87s T9875 flush 4 0.01% 1 : 15515 99.81%
32 86s T9865 flush 4 0.01% 1 : 15515 99.80%
33 84s T9854 flush 4 0.01% 1 : 15515 99.79%
34 83s T9853 flush 4 0.01% 1 : 15515 99.79%
35 82s T9852 flush 4 0.01% 1 : 15515 99.78%
36 76s T9765 flush 4 0.01% 1 : 15515 99.77%
37 74s T9754 flush 4 0.01% 1 : 15515 99.77%
38 73s T9753 flush 4 0.01% 1 : 15515 99.76%
39 72s T9752 flush 4 0.01% 1 : 15515 99.76%
40 64s T9654 flush 4 0.01% 1 : 15515 99.75%
41 63s T9653 flush 4 0.01% 1 : 15515 99.74%
42 62s T9652 flush 4 0.01% 1 : 15515 99.74%
43 43s T9543 flush 4 0.01% 1 : 15515 99.73%
44 42s T9542 flush 4 0.01% 1 : 15515 99.72%
45 32s T9532 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT95 three of a kind 64 0.10% 1 : 969 99.71%
47 99 T9995 three of a kind 64 0.10% 1 : 969 99.61%
48 55 T9555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T9 TT995 two pairs 144 0.23% 1 : 430 99.40%
50 T5 TT955 two pairs 144 0.23% 1 : 430 99.17%
51 95 T9955 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT95 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT95 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT95 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT95 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT95 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT95 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT95 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT95 one pair 384 0.62% 1 : 161 94.37%
60 T8 TT985 one pair 384 0.62% 1 : 161 93.75%
61 T7 TT975 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT965 one pair 384 0.62% 1 : 161 92.52%
63 T4 TT954 one pair 384 0.62% 1 : 161 91.90%
64 T3 TT953 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT952 one pair 384 0.62% 1 : 161 90.66%
66 A9 AT995 one pair 384 0.62% 1 : 161 90.04%
67 K9 KT995 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QT995 one pair 384 0.62% 1 : 161 88.81%
69 J9 JT995 one pair 384 0.62% 1 : 161 88.19%
70 98 T9985 one pair 384 0.62% 1 : 161 87.57%
71 97 T9975 one pair 384 0.62% 1 : 161 86.95%
72 96 T9965 one pair 384 0.62% 1 : 161 86.33%
73 94 T9954 one pair 384 0.62% 1 : 161 85.71%
74 93 T9953 one pair 384 0.62% 1 : 161 85.09%
75 92 T9952 one pair 384 0.62% 1 : 161 84.47%
76 88 T9885 one pair 384 0.62% 1 : 161 83.86%
77 77 T9775 one pair 384 0.62% 1 : 161 83.24%
78 66 T9665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AT955 one pair 384 0.62% 1 : 161 82.00%
80 K5 KT955 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QT955 one pair 384 0.62% 1 : 161 80.76%
82 J5 JT955 one pair 384 0.62% 1 : 161 80.14%
83 85 T9855 one pair 384 0.62% 1 : 161 79.52%
84 75 T9755 one pair 384 0.62% 1 : 161 78.91%
85 65 T9655 one pair 384 0.62% 1 : 161 78.29%
86 54 T9554 one pair 384 0.62% 1 : 161 77.67%
87 53 T9553 one pair 384 0.62% 1 : 161 77.05%
88 52 T9552 one pair 384 0.62% 1 : 161 76.43%
89 44 T9544 one pair 384 0.62% 1 : 161 75.81%
90 33 T9533 one pair 384 0.62% 1 : 161 75.19%
91 22 T9522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT95 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT95 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AT985 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AT975 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT965 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AT954 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AT953 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT952 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT95 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KT985 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KT975 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT965 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KT954 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KT953 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT952 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QT985 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QT975 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT965 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QT954 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QT953 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT952 high card 1,020 1.64% 1 : 59.8 36.16%
116 J8 JT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 JT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 J4 JT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 JT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 T9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 T9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 T9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 T9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 T9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 T9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 T9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 T9753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 T9752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 T9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 T9653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T9652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T9532 high card 1,020 1.64% 1 : 59.8 1.64%