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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 AQs AKQ32 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ32 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT32 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK932 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK832 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK732 flush 4 0.01% 1 : 15515 99.97%
7 A6s AK632 flush 4 0.01% 1 : 15515 99.96%
8 A5s AK532 flush 4 0.01% 1 : 15515 99.95%
9 A4s AK432 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ32 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT32 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ932 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ832 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ732 flush 4 0.01% 1 : 15515 99.92%
15 Q6s KQ632 flush 4 0.01% 1 : 15515 99.91%
16 Q5s KQ532 flush 4 0.01% 1 : 15515 99.90%
17 Q4s KQ432 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT32 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ932 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ832 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ732 flush 4 0.01% 1 : 15515 99.87%
22 J6s KJ632 flush 4 0.01% 1 : 15515 99.86%
23 J5s KJ532 flush 4 0.01% 1 : 15515 99.86%
24 J4s KJ432 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT932 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT832 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT732 flush 4 0.01% 1 : 15515 99.83%
28 T6s KT632 flush 4 0.01% 1 : 15515 99.83%
29 T5s KT532 flush 4 0.01% 1 : 15515 99.82%
30 T4s KT432 flush 4 0.01% 1 : 15515 99.81%
31 98s K9832 flush 4 0.01% 1 : 15515 99.81%
32 97s K9732 flush 4 0.01% 1 : 15515 99.80%
33 96s K9632 flush 4 0.01% 1 : 15515 99.79%
34 95s K9532 flush 4 0.01% 1 : 15515 99.79%
35 94s K9432 flush 4 0.01% 1 : 15515 99.78%
36 87s K8732 flush 4 0.01% 1 : 15515 99.77%
37 86s K8632 flush 4 0.01% 1 : 15515 99.77%
38 85s K8532 flush 4 0.01% 1 : 15515 99.76%
39 84s K8432 flush 4 0.01% 1 : 15515 99.76%
40 76s K7632 flush 4 0.01% 1 : 15515 99.75%
41 75s K7532 flush 4 0.01% 1 : 15515 99.74%
42 74s K7432 flush 4 0.01% 1 : 15515 99.74%
43 65s K6532 flush 4 0.01% 1 : 15515 99.73%
44 64s K6432 flush 4 0.01% 1 : 15515 99.72%
45 54s K5432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK32 three of a kind 64 0.10% 1 : 969 99.71%
47 33 K3332 three of a kind 64 0.10% 1 : 969 99.61%
48 22 K3222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K3 KK332 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KK322 two pairs 144 0.23% 1 : 430 99.17%
51 32 K3322 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK32 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK32 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ32 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ32 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT32 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK932 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK832 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK732 one pair 384 0.62% 1 : 161 94.37%
60 K6 KK632 one pair 384 0.62% 1 : 161 93.75%
61 K5 KK532 one pair 384 0.62% 1 : 161 93.14%
62 K4 KK432 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ32 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ32 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT32 one pair 384 0.62% 1 : 161 90.66%
66 99 K9932 one pair 384 0.62% 1 : 161 90.04%
67 88 K8832 one pair 384 0.62% 1 : 161 89.42%
68 77 K7732 one pair 384 0.62% 1 : 161 88.81%
69 66 K6632 one pair 384 0.62% 1 : 161 88.19%
70 55 K5532 one pair 384 0.62% 1 : 161 87.57%
71 44 K4432 one pair 384 0.62% 1 : 161 86.95%
72 A3 AK332 one pair 384 0.62% 1 : 161 86.33%
73 Q3 KQ332 one pair 384 0.62% 1 : 161 85.71%
74 J3 KJ332 one pair 384 0.62% 1 : 161 85.09%
75 T3 KT332 one pair 384 0.62% 1 : 161 84.47%
76 93 K9332 one pair 384 0.62% 1 : 161 83.86%
77 83 K8332 one pair 384 0.62% 1 : 161 83.24%
78 73 K7332 one pair 384 0.62% 1 : 161 82.62%
79 63 K6332 one pair 384 0.62% 1 : 161 82.00%
80 53 K5332 one pair 384 0.62% 1 : 161 81.38%
81 43 K4332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AK322 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQ322 one pair 384 0.62% 1 : 161 79.52%
84 J2 KJ322 one pair 384 0.62% 1 : 161 78.91%
85 T2 KT322 one pair 384 0.62% 1 : 161 78.29%
86 92 K9322 one pair 384 0.62% 1 : 161 77.67%
87 82 K8322 one pair 384 0.62% 1 : 161 77.05%
88 72 K7322 one pair 384 0.62% 1 : 161 76.43%
89 62 K6322 one pair 384 0.62% 1 : 161 75.81%
90 52 K5322 one pair 384 0.62% 1 : 161 75.19%
91 42 K4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ32 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ32 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT32 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK932 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK832 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK732 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AK632 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AK532 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AK432 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ32 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT32 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ932 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ832 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ732 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q6 KQ632 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q5 KQ532 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q4 KQ432 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT32 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ932 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ832 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ732 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 KJ632 high card 1,020 1.64% 1 : 59.8 39.44%
114 J5 KJ532 high card 1,020 1.64% 1 : 59.8 37.80%
115 J4 KJ432 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT932 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT832 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT732 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 KT632 high card 1,020 1.64% 1 : 59.8 29.58%
120 T5 KT532 high card 1,020 1.64% 1 : 59.8 27.94%
121 T4 KT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9832 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9732 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 K9632 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 K9532 high card 1,020 1.64% 1 : 59.8 19.72%
126 94 K9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8732 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 K8632 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 K8532 high card 1,020 1.64% 1 : 59.8 13.15%
130 84 K8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 K7632 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 K7532 high card 1,020 1.64% 1 : 59.8 8.22%
133 74 K7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 K6532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 K6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 54 K5432 high card 1,020 1.64% 1 : 59.8 1.64%