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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 AKQ73 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ73 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT73 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK973 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK873 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK763 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK753 flush 4 0.01% 1 : 15515 99.96%
8 K4s AK743 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK732 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ73 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT73 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ973 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ873 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ763 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ753 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQ743 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ732 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT73 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ973 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ873 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ763 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ753 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJ743 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ732 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT973 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT873 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT763 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT753 flush 4 0.01% 1 : 15515 99.83%
29 T4s AT743 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT732 flush 4 0.01% 1 : 15515 99.81%
31 98s A9873 flush 4 0.01% 1 : 15515 99.81%
32 96s A9763 flush 4 0.01% 1 : 15515 99.80%
33 95s A9753 flush 4 0.01% 1 : 15515 99.79%
34 94s A9743 flush 4 0.01% 1 : 15515 99.79%
35 92s A9732 flush 4 0.01% 1 : 15515 99.78%
36 86s A8763 flush 4 0.01% 1 : 15515 99.77%
37 85s A8753 flush 4 0.01% 1 : 15515 99.77%
38 84s A8743 flush 4 0.01% 1 : 15515 99.76%
39 82s A8732 flush 4 0.01% 1 : 15515 99.76%
40 65s A7653 flush 4 0.01% 1 : 15515 99.75%
41 64s A7643 flush 4 0.01% 1 : 15515 99.74%
42 62s A7632 flush 4 0.01% 1 : 15515 99.74%
43 54s A7543 flush 4 0.01% 1 : 15515 99.73%
44 52s A7532 flush 4 0.01% 1 : 15515 99.72%
45 42s A7432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA73 three of a kind 64 0.10% 1 : 969 99.71%
47 77 A7773 three of a kind 64 0.10% 1 : 969 99.61%
48 33 A7333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A7 AA773 two pairs 144 0.23% 1 : 430 99.40%
50 A3 AA733 two pairs 144 0.23% 1 : 430 99.17%
51 73 A7733 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK73 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ73 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ73 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT73 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA973 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA873 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA763 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA753 one pair 384 0.62% 1 : 161 94.37%
60 A4 AA743 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA732 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK73 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ73 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ73 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT73 one pair 384 0.62% 1 : 161 90.66%
66 99 A9973 one pair 384 0.62% 1 : 161 90.04%
67 88 A8873 one pair 384 0.62% 1 : 161 89.42%
68 K7 AK773 one pair 384 0.62% 1 : 161 88.81%
69 Q7 AQ773 one pair 384 0.62% 1 : 161 88.19%
70 J7 AJ773 one pair 384 0.62% 1 : 161 87.57%
71 T7 AT773 one pair 384 0.62% 1 : 161 86.95%
72 97 A9773 one pair 384 0.62% 1 : 161 86.33%
73 87 A8773 one pair 384 0.62% 1 : 161 85.71%
74 76 A7763 one pair 384 0.62% 1 : 161 85.09%
75 75 A7753 one pair 384 0.62% 1 : 161 84.47%
76 74 A7743 one pair 384 0.62% 1 : 161 83.86%
77 72 A7732 one pair 384 0.62% 1 : 161 83.24%
78 66 A7663 one pair 384 0.62% 1 : 161 82.62%
79 55 A7553 one pair 384 0.62% 1 : 161 82.00%
80 44 A7443 one pair 384 0.62% 1 : 161 81.38%
81 K3 AK733 one pair 384 0.62% 1 : 161 80.76%
82 Q3 AQ733 one pair 384 0.62% 1 : 161 80.14%
83 J3 AJ733 one pair 384 0.62% 1 : 161 79.52%
84 T3 AT733 one pair 384 0.62% 1 : 161 78.91%
85 93 A9733 one pair 384 0.62% 1 : 161 78.29%
86 83 A8733 one pair 384 0.62% 1 : 161 77.67%
87 63 A7633 one pair 384 0.62% 1 : 161 77.05%
88 53 A7533 one pair 384 0.62% 1 : 161 76.43%
89 43 A7433 one pair 384 0.62% 1 : 161 75.81%
90 32 A7332 one pair 384 0.62% 1 : 161 75.19%
91 22 A7322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ73 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ73 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT73 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK973 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK873 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK763 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK753 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AK743 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK732 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ73 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT73 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ973 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ873 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ763 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ753 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQ743 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ732 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT73 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ973 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ873 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ763 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ753 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJ743 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ732 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT973 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT753 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 AT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 A9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9753 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 A9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 A8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 A8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 A8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 A8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 A7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 A7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 A7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 A7432 high card 1,020 1.64% 1 : 59.8 1.64%