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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 AK953 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ953 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ953 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT953 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9853 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9753 flush 4 0.01% 1 : 15515 99.97%
7 A6s A9653 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9543 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ953 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ953 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT953 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9853 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9753 flush 4 0.01% 1 : 15515 99.92%
15 K6s K9653 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9543 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9532 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ953 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT953 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9853 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9753 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q9653 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9532 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT953 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9853 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9753 flush 4 0.01% 1 : 15515 99.83%
28 J6s J9653 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9543 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9532 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9853 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9753 flush 4 0.01% 1 : 15515 99.80%
33 T6s T9653 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9543 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9532 flush 4 0.01% 1 : 15515 99.78%
36 87s 98753 flush 4 0.01% 1 : 15515 99.77%
37 86s 98653 flush 4 0.01% 1 : 15515 99.77%
38 84s 98543 flush 4 0.01% 1 : 15515 99.76%
39 82s 98532 flush 4 0.01% 1 : 15515 99.76%
40 76s 97653 flush 4 0.01% 1 : 15515 99.75%
41 74s 97543 flush 4 0.01% 1 : 15515 99.74%
42 72s 97532 flush 4 0.01% 1 : 15515 99.74%
43 64s 96543 flush 4 0.01% 1 : 15515 99.73%
44 62s 96532 flush 4 0.01% 1 : 15515 99.72%
45 42s 95432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99953 three of a kind 64 0.10% 1 : 969 99.71%
47 55 95553 three of a kind 64 0.10% 1 : 969 99.61%
48 33 95333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 95 99553 two pairs 144 0.23% 1 : 430 99.40%
50 93 99533 two pairs 144 0.23% 1 : 430 99.17%
51 53 95533 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA953 one pair 384 0.62% 1 : 161 98.70%
53 KK KK953 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ953 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ953 one pair 384 0.62% 1 : 161 96.85%
56 TT TT953 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9953 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9953 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9953 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9953 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9953 one pair 384 0.62% 1 : 161 93.14%
62 98 99853 one pair 384 0.62% 1 : 161 92.52%
63 97 99753 one pair 384 0.62% 1 : 161 91.90%
64 96 99653 one pair 384 0.62% 1 : 161 91.28%
65 94 99543 one pair 384 0.62% 1 : 161 90.66%
66 92 99532 one pair 384 0.62% 1 : 161 90.04%
67 88 98853 one pair 384 0.62% 1 : 161 89.42%
68 77 97753 one pair 384 0.62% 1 : 161 88.81%
69 66 96653 one pair 384 0.62% 1 : 161 88.19%
70 A5 A9553 one pair 384 0.62% 1 : 161 87.57%
71 K5 K9553 one pair 384 0.62% 1 : 161 86.95%
72 Q5 Q9553 one pair 384 0.62% 1 : 161 86.33%
73 J5 J9553 one pair 384 0.62% 1 : 161 85.71%
74 T5 T9553 one pair 384 0.62% 1 : 161 85.09%
75 85 98553 one pair 384 0.62% 1 : 161 84.47%
76 75 97553 one pair 384 0.62% 1 : 161 83.86%
77 65 96553 one pair 384 0.62% 1 : 161 83.24%
78 54 95543 one pair 384 0.62% 1 : 161 82.62%
79 52 95532 one pair 384 0.62% 1 : 161 82.00%
80 44 95443 one pair 384 0.62% 1 : 161 81.38%
81 A3 A9533 one pair 384 0.62% 1 : 161 80.76%
82 K3 K9533 one pair 384 0.62% 1 : 161 80.14%
83 Q3 Q9533 one pair 384 0.62% 1 : 161 79.52%
84 J3 J9533 one pair 384 0.62% 1 : 161 78.91%
85 T3 T9533 one pair 384 0.62% 1 : 161 78.29%
86 83 98533 one pair 384 0.62% 1 : 161 77.67%
87 73 97533 one pair 384 0.62% 1 : 161 77.05%
88 63 96533 one pair 384 0.62% 1 : 161 76.43%
89 43 95433 one pair 384 0.62% 1 : 161 75.81%
90 32 95332 one pair 384 0.62% 1 : 161 75.19%
91 22 95322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK953 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ953 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ953 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT953 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9853 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9753 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A9653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ953 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ953 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT953 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9853 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9753 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K9653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ953 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT953 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9853 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9753 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q9653 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9532 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT953 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9853 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9753 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J9653 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9532 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9853 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9753 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98753 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 98653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 98543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 98532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 97653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 97543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 97532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 96543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 96532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 95432 high card 1,020 1.64% 1 : 59.8 1.64%