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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 AKJ73 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ73 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT73 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ973 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ873 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ763 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ753 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ743 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ732 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ73 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT73 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ973 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ873 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ763 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ753 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ743 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ732 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT73 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ973 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ873 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ763 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ753 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ743 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ732 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT973 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT873 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT763 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT753 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT743 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT732 flush 4 0.01% 1 : 15515 99.81%
31 98s J9873 flush 4 0.01% 1 : 15515 99.81%
32 96s J9763 flush 4 0.01% 1 : 15515 99.80%
33 95s J9753 flush 4 0.01% 1 : 15515 99.79%
34 94s J9743 flush 4 0.01% 1 : 15515 99.79%
35 92s J9732 flush 4 0.01% 1 : 15515 99.78%
36 86s J8763 flush 4 0.01% 1 : 15515 99.77%
37 85s J8753 flush 4 0.01% 1 : 15515 99.77%
38 84s J8743 flush 4 0.01% 1 : 15515 99.76%
39 82s J8732 flush 4 0.01% 1 : 15515 99.76%
40 65s J7653 flush 4 0.01% 1 : 15515 99.75%
41 64s J7643 flush 4 0.01% 1 : 15515 99.74%
42 62s J7632 flush 4 0.01% 1 : 15515 99.74%
43 54s J7543 flush 4 0.01% 1 : 15515 99.73%
44 52s J7532 flush 4 0.01% 1 : 15515 99.72%
45 42s J7432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ73 three of a kind 64 0.10% 1 : 969 99.71%
47 77 J7773 three of a kind 64 0.10% 1 : 969 99.61%
48 33 J7333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J7 JJ773 two pairs 144 0.23% 1 : 430 99.40%
50 J3 JJ733 two pairs 144 0.23% 1 : 430 99.17%
51 73 J7733 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ73 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ73 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ73 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ73 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ73 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ73 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT73 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ973 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ873 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ763 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ753 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ743 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ732 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT73 one pair 384 0.62% 1 : 161 90.66%
66 99 J9973 one pair 384 0.62% 1 : 161 90.04%
67 88 J8873 one pair 384 0.62% 1 : 161 89.42%
68 A7 AJ773 one pair 384 0.62% 1 : 161 88.81%
69 K7 KJ773 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QJ773 one pair 384 0.62% 1 : 161 87.57%
71 T7 JT773 one pair 384 0.62% 1 : 161 86.95%
72 97 J9773 one pair 384 0.62% 1 : 161 86.33%
73 87 J8773 one pair 384 0.62% 1 : 161 85.71%
74 76 J7763 one pair 384 0.62% 1 : 161 85.09%
75 75 J7753 one pair 384 0.62% 1 : 161 84.47%
76 74 J7743 one pair 384 0.62% 1 : 161 83.86%
77 72 J7732 one pair 384 0.62% 1 : 161 83.24%
78 66 J7663 one pair 384 0.62% 1 : 161 82.62%
79 55 J7553 one pair 384 0.62% 1 : 161 82.00%
80 44 J7443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AJ733 one pair 384 0.62% 1 : 161 80.76%
82 K3 KJ733 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QJ733 one pair 384 0.62% 1 : 161 79.52%
84 T3 JT733 one pair 384 0.62% 1 : 161 78.91%
85 93 J9733 one pair 384 0.62% 1 : 161 78.29%
86 83 J8733 one pair 384 0.62% 1 : 161 77.67%
87 63 J7633 one pair 384 0.62% 1 : 161 77.05%
88 53 J7533 one pair 384 0.62% 1 : 161 76.43%
89 43 J7433 one pair 384 0.62% 1 : 161 75.81%
90 32 J7332 one pair 384 0.62% 1 : 161 75.19%
91 22 J7322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ73 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ73 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT73 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ973 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ753 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ73 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT73 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ973 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ753 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ732 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT73 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ973 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ873 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ763 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ753 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ743 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ732 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT973 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT753 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 J9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9753 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 J9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 J8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 J8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 J8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 J7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 J7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 J7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 J7432 high card 1,020 1.64% 1 : 59.8 1.64%