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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 AKT73 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT73 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT73 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT973 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT873 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT763 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT753 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT743 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT732 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT73 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT73 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT973 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT873 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT763 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT753 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT743 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT732 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT73 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT973 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT873 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT763 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT753 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT743 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT732 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT973 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT873 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT763 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT753 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT743 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT732 flush 4 0.01% 1 : 15515 99.81%
31 98s T9873 flush 4 0.01% 1 : 15515 99.81%
32 96s T9763 flush 4 0.01% 1 : 15515 99.80%
33 95s T9753 flush 4 0.01% 1 : 15515 99.79%
34 94s T9743 flush 4 0.01% 1 : 15515 99.79%
35 92s T9732 flush 4 0.01% 1 : 15515 99.78%
36 86s T8763 flush 4 0.01% 1 : 15515 99.77%
37 85s T8753 flush 4 0.01% 1 : 15515 99.77%
38 84s T8743 flush 4 0.01% 1 : 15515 99.76%
39 82s T8732 flush 4 0.01% 1 : 15515 99.76%
40 65s T7653 flush 4 0.01% 1 : 15515 99.75%
41 64s T7643 flush 4 0.01% 1 : 15515 99.74%
42 62s T7632 flush 4 0.01% 1 : 15515 99.74%
43 54s T7543 flush 4 0.01% 1 : 15515 99.73%
44 52s T7532 flush 4 0.01% 1 : 15515 99.72%
45 42s T7432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT73 three of a kind 64 0.10% 1 : 969 99.71%
47 77 T7773 three of a kind 64 0.10% 1 : 969 99.61%
48 33 T7333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T7 TT773 two pairs 144 0.23% 1 : 430 99.40%
50 T3 TT733 two pairs 144 0.23% 1 : 430 99.17%
51 73 T7733 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT73 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT73 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT73 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT73 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT73 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT73 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT73 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT73 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT973 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT873 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT763 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT753 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT743 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT732 one pair 384 0.62% 1 : 161 90.66%
66 99 T9973 one pair 384 0.62% 1 : 161 90.04%
67 88 T8873 one pair 384 0.62% 1 : 161 89.42%
68 A7 AT773 one pair 384 0.62% 1 : 161 88.81%
69 K7 KT773 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QT773 one pair 384 0.62% 1 : 161 87.57%
71 J7 JT773 one pair 384 0.62% 1 : 161 86.95%
72 97 T9773 one pair 384 0.62% 1 : 161 86.33%
73 87 T8773 one pair 384 0.62% 1 : 161 85.71%
74 76 T7763 one pair 384 0.62% 1 : 161 85.09%
75 75 T7753 one pair 384 0.62% 1 : 161 84.47%
76 74 T7743 one pair 384 0.62% 1 : 161 83.86%
77 72 T7732 one pair 384 0.62% 1 : 161 83.24%
78 66 T7663 one pair 384 0.62% 1 : 161 82.62%
79 55 T7553 one pair 384 0.62% 1 : 161 82.00%
80 44 T7443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AT733 one pair 384 0.62% 1 : 161 80.76%
82 K3 KT733 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QT733 one pair 384 0.62% 1 : 161 79.52%
84 J3 JT733 one pair 384 0.62% 1 : 161 78.91%
85 93 T9733 one pair 384 0.62% 1 : 161 78.29%
86 83 T8733 one pair 384 0.62% 1 : 161 77.67%
87 63 T7633 one pair 384 0.62% 1 : 161 77.05%
88 53 T7533 one pair 384 0.62% 1 : 161 76.43%
89 43 T7433 one pair 384 0.62% 1 : 161 75.81%
90 32 T7332 one pair 384 0.62% 1 : 161 75.19%
91 22 T7322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT73 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT73 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT73 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT973 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT753 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT73 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT73 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT973 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT753 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT732 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT73 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT973 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT873 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT763 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT753 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT743 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT732 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT973 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT753 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 T9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 T9753 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 T9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 T8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 T8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 T8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 T7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 T7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 T7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 T7432 high card 1,020 1.64% 1 : 59.8 1.64%