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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 AKT32 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT32 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT32 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT932 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT832 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT732 flush 4 0.01% 1 : 15515 99.97%
7 A6s AT632 flush 4 0.01% 1 : 15515 99.96%
8 A5s AT532 flush 4 0.01% 1 : 15515 99.95%
9 A4s AT432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT32 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT32 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT932 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT832 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT732 flush 4 0.01% 1 : 15515 99.92%
15 K6s KT632 flush 4 0.01% 1 : 15515 99.91%
16 K5s KT532 flush 4 0.01% 1 : 15515 99.90%
17 K4s KT432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT32 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT932 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT832 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT732 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT632 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QT532 flush 4 0.01% 1 : 15515 99.86%
24 Q4s QT432 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT932 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT832 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT732 flush 4 0.01% 1 : 15515 99.83%
28 J6s JT632 flush 4 0.01% 1 : 15515 99.83%
29 J5s JT532 flush 4 0.01% 1 : 15515 99.82%
30 J4s JT432 flush 4 0.01% 1 : 15515 99.81%
31 98s T9832 flush 4 0.01% 1 : 15515 99.81%
32 97s T9732 flush 4 0.01% 1 : 15515 99.80%
33 96s T9632 flush 4 0.01% 1 : 15515 99.79%
34 95s T9532 flush 4 0.01% 1 : 15515 99.79%
35 94s T9432 flush 4 0.01% 1 : 15515 99.78%
36 87s T8732 flush 4 0.01% 1 : 15515 99.77%
37 86s T8632 flush 4 0.01% 1 : 15515 99.77%
38 85s T8532 flush 4 0.01% 1 : 15515 99.76%
39 84s T8432 flush 4 0.01% 1 : 15515 99.76%
40 76s T7632 flush 4 0.01% 1 : 15515 99.75%
41 75s T7532 flush 4 0.01% 1 : 15515 99.74%
42 74s T7432 flush 4 0.01% 1 : 15515 99.74%
43 65s T6532 flush 4 0.01% 1 : 15515 99.73%
44 64s T6432 flush 4 0.01% 1 : 15515 99.72%
45 54s T5432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT32 three of a kind 64 0.10% 1 : 969 99.71%
47 33 T3332 three of a kind 64 0.10% 1 : 969 99.61%
48 22 T3222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T3 TT332 two pairs 144 0.23% 1 : 430 99.40%
50 T2 TT322 two pairs 144 0.23% 1 : 430 99.17%
51 32 T3322 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT32 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT32 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT32 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT32 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT32 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT32 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT32 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT32 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT932 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT832 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT732 one pair 384 0.62% 1 : 161 92.52%
63 T6 TT632 one pair 384 0.62% 1 : 161 91.90%
64 T5 TT532 one pair 384 0.62% 1 : 161 91.28%
65 T4 TT432 one pair 384 0.62% 1 : 161 90.66%
66 99 T9932 one pair 384 0.62% 1 : 161 90.04%
67 88 T8832 one pair 384 0.62% 1 : 161 89.42%
68 77 T7732 one pair 384 0.62% 1 : 161 88.81%
69 66 T6632 one pair 384 0.62% 1 : 161 88.19%
70 55 T5532 one pair 384 0.62% 1 : 161 87.57%
71 44 T4432 one pair 384 0.62% 1 : 161 86.95%
72 A3 AT332 one pair 384 0.62% 1 : 161 86.33%
73 K3 KT332 one pair 384 0.62% 1 : 161 85.71%
74 Q3 QT332 one pair 384 0.62% 1 : 161 85.09%
75 J3 JT332 one pair 384 0.62% 1 : 161 84.47%
76 93 T9332 one pair 384 0.62% 1 : 161 83.86%
77 83 T8332 one pair 384 0.62% 1 : 161 83.24%
78 73 T7332 one pair 384 0.62% 1 : 161 82.62%
79 63 T6332 one pair 384 0.62% 1 : 161 82.00%
80 53 T5332 one pair 384 0.62% 1 : 161 81.38%
81 43 T4332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AT322 one pair 384 0.62% 1 : 161 80.14%
83 K2 KT322 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QT322 one pair 384 0.62% 1 : 161 78.91%
85 J2 JT322 one pair 384 0.62% 1 : 161 78.29%
86 92 T9322 one pair 384 0.62% 1 : 161 77.67%
87 82 T8322 one pair 384 0.62% 1 : 161 77.05%
88 72 T7322 one pair 384 0.62% 1 : 161 76.43%
89 62 T6322 one pair 384 0.62% 1 : 161 75.81%
90 52 T5322 one pair 384 0.62% 1 : 161 75.19%
91 42 T4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT32 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT32 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT32 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT932 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT832 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT732 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AT632 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AT532 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AT432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT32 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT32 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT932 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT832 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT732 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KT632 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KT532 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 KT432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT32 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT932 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT832 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT732 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT632 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QT532 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 QT432 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT932 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT832 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT732 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 JT632 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 JT532 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 JT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9832 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9732 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 T9632 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 T9532 high card 1,020 1.64% 1 : 59.8 19.72%
126 94 T9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8732 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 T8632 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 T8532 high card 1,020 1.64% 1 : 59.8 13.15%
130 84 T8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 T7632 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 T7532 high card 1,020 1.64% 1 : 59.8 8.22%
133 74 T7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 T6532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 T6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 54 T5432 high card 1,020 1.64% 1 : 59.8 1.64%