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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 AKJ32 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ32 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT32 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ932 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ832 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ732 flush 4 0.01% 1 : 15515 99.97%
7 A6s AJ632 flush 4 0.01% 1 : 15515 99.96%
8 A5s AJ532 flush 4 0.01% 1 : 15515 99.95%
9 A4s AJ432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ32 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT32 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ932 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ832 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ732 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJ632 flush 4 0.01% 1 : 15515 99.91%
16 K5s KJ532 flush 4 0.01% 1 : 15515 99.90%
17 K4s KJ432 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT32 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ932 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ832 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ732 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QJ632 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QJ532 flush 4 0.01% 1 : 15515 99.86%
24 Q4s QJ432 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT932 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT832 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT732 flush 4 0.01% 1 : 15515 99.83%
28 T6s JT632 flush 4 0.01% 1 : 15515 99.83%
29 T5s JT532 flush 4 0.01% 1 : 15515 99.82%
30 T4s JT432 flush 4 0.01% 1 : 15515 99.81%
31 98s J9832 flush 4 0.01% 1 : 15515 99.81%
32 97s J9732 flush 4 0.01% 1 : 15515 99.80%
33 96s J9632 flush 4 0.01% 1 : 15515 99.79%
34 95s J9532 flush 4 0.01% 1 : 15515 99.79%
35 94s J9432 flush 4 0.01% 1 : 15515 99.78%
36 87s J8732 flush 4 0.01% 1 : 15515 99.77%
37 86s J8632 flush 4 0.01% 1 : 15515 99.77%
38 85s J8532 flush 4 0.01% 1 : 15515 99.76%
39 84s J8432 flush 4 0.01% 1 : 15515 99.76%
40 76s J7632 flush 4 0.01% 1 : 15515 99.75%
41 75s J7532 flush 4 0.01% 1 : 15515 99.74%
42 74s J7432 flush 4 0.01% 1 : 15515 99.74%
43 65s J6532 flush 4 0.01% 1 : 15515 99.73%
44 64s J6432 flush 4 0.01% 1 : 15515 99.72%
45 54s J5432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ32 three of a kind 64 0.10% 1 : 969 99.71%
47 33 J3332 three of a kind 64 0.10% 1 : 969 99.61%
48 22 J3222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J3 JJ332 two pairs 144 0.23% 1 : 430 99.40%
50 J2 JJ322 two pairs 144 0.23% 1 : 430 99.17%
51 32 J3322 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ32 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ32 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ32 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ32 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ32 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ32 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT32 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ932 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ832 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ732 one pair 384 0.62% 1 : 161 93.14%
62 J6 JJ632 one pair 384 0.62% 1 : 161 92.52%
63 J5 JJ532 one pair 384 0.62% 1 : 161 91.90%
64 J4 JJ432 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT32 one pair 384 0.62% 1 : 161 90.66%
66 99 J9932 one pair 384 0.62% 1 : 161 90.04%
67 88 J8832 one pair 384 0.62% 1 : 161 89.42%
68 77 J7732 one pair 384 0.62% 1 : 161 88.81%
69 66 J6632 one pair 384 0.62% 1 : 161 88.19%
70 55 J5532 one pair 384 0.62% 1 : 161 87.57%
71 44 J4432 one pair 384 0.62% 1 : 161 86.95%
72 A3 AJ332 one pair 384 0.62% 1 : 161 86.33%
73 K3 KJ332 one pair 384 0.62% 1 : 161 85.71%
74 Q3 QJ332 one pair 384 0.62% 1 : 161 85.09%
75 T3 JT332 one pair 384 0.62% 1 : 161 84.47%
76 93 J9332 one pair 384 0.62% 1 : 161 83.86%
77 83 J8332 one pair 384 0.62% 1 : 161 83.24%
78 73 J7332 one pair 384 0.62% 1 : 161 82.62%
79 63 J6332 one pair 384 0.62% 1 : 161 82.00%
80 53 J5332 one pair 384 0.62% 1 : 161 81.38%
81 43 J4332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AJ322 one pair 384 0.62% 1 : 161 80.14%
83 K2 KJ322 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QJ322 one pair 384 0.62% 1 : 161 78.91%
85 T2 JT322 one pair 384 0.62% 1 : 161 78.29%
86 92 J9322 one pair 384 0.62% 1 : 161 77.67%
87 82 J8322 one pair 384 0.62% 1 : 161 77.05%
88 72 J7322 one pair 384 0.62% 1 : 161 76.43%
89 62 J6322 one pair 384 0.62% 1 : 161 75.81%
90 52 J5322 one pair 384 0.62% 1 : 161 75.19%
91 42 J4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ32 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ32 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT32 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ932 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ832 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ732 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AJ632 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AJ532 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AJ432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ32 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT32 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ932 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ832 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ732 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJ632 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KJ532 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 KJ432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT32 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ932 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ832 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ732 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QJ632 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QJ532 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 QJ432 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT932 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT832 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT732 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 JT632 high card 1,020 1.64% 1 : 59.8 29.58%
120 T5 JT532 high card 1,020 1.64% 1 : 59.8 27.94%
121 T4 JT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9832 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9732 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 J9632 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 J9532 high card 1,020 1.64% 1 : 59.8 19.72%
126 94 J9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8732 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 J8632 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 J8532 high card 1,020 1.64% 1 : 59.8 13.15%
130 84 J8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 J7632 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 J7532 high card 1,020 1.64% 1 : 59.8 8.22%
133 74 J7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 J6532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 J6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 54 J5432 high card 1,020 1.64% 1 : 59.8 1.64%