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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 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 54s 65432 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AK632 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQ632 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJ632 flush 4 0.01% 1 : 15515 99.98%
5 ATs AT632 flush 4 0.01% 1 : 15515 99.97%
6 A9s A9632 flush 4 0.01% 1 : 15515 99.97%
7 A8s A8632 flush 4 0.01% 1 : 15515 99.96%
8 A7s A7632 flush 4 0.01% 1 : 15515 99.95%
9 A5s A6532 flush 4 0.01% 1 : 15515 99.95%
10 A4s A6432 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQ632 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJ632 flush 4 0.01% 1 : 15515 99.93%
13 KTs KT632 flush 4 0.01% 1 : 15515 99.92%
14 K9s K9632 flush 4 0.01% 1 : 15515 99.92%
15 K8s K8632 flush 4 0.01% 1 : 15515 99.91%
16 K7s K7632 flush 4 0.01% 1 : 15515 99.90%
17 K5s K6532 flush 4 0.01% 1 : 15515 99.90%
18 K4s K6432 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJ632 flush 4 0.01% 1 : 15515 99.88%
20 QTs QT632 flush 4 0.01% 1 : 15515 99.88%
21 Q9s Q9632 flush 4 0.01% 1 : 15515 99.87%
22 Q8s Q8632 flush 4 0.01% 1 : 15515 99.86%
23 Q7s Q7632 flush 4 0.01% 1 : 15515 99.86%
24 Q5s Q6532 flush 4 0.01% 1 : 15515 99.85%
25 Q4s Q6432 flush 4 0.01% 1 : 15515 99.85%
26 JTs JT632 flush 4 0.01% 1 : 15515 99.84%
27 J9s J9632 flush 4 0.01% 1 : 15515 99.83%
28 J8s J8632 flush 4 0.01% 1 : 15515 99.83%
29 J7s J7632 flush 4 0.01% 1 : 15515 99.82%
30 J5s J6532 flush 4 0.01% 1 : 15515 99.81%
31 J4s J6432 flush 4 0.01% 1 : 15515 99.81%
32 T9s T9632 flush 4 0.01% 1 : 15515 99.80%
33 T8s T8632 flush 4 0.01% 1 : 15515 99.79%
34 T7s T7632 flush 4 0.01% 1 : 15515 99.79%
35 T5s T6532 flush 4 0.01% 1 : 15515 99.78%
36 T4s T6432 flush 4 0.01% 1 : 15515 99.77%
37 98s 98632 flush 4 0.01% 1 : 15515 99.77%
38 97s 97632 flush 4 0.01% 1 : 15515 99.76%
39 95s 96532 flush 4 0.01% 1 : 15515 99.76%
40 94s 96432 flush 4 0.01% 1 : 15515 99.75%
41 87s 87632 flush 4 0.01% 1 : 15515 99.74%
42 85s 86532 flush 4 0.01% 1 : 15515 99.74%
43 84s 86432 flush 4 0.01% 1 : 15515 99.73%
44 75s 76532 flush 4 0.01% 1 : 15515 99.72%
45 74s 76432 flush 4 0.01% 1 : 15515 99.72%
 
46 54 65432 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 66 66632 three of a kind 64 0.10% 1 : 969 98.07%
48 33 63332 three of a kind 64 0.10% 1 : 969 97.96%
49 22 63222 three of a kind 64 0.10% 1 : 969 97.86%
 
50 63 66332 two pairs 144 0.23% 1 : 430 97.76%
51 62 66322 two pairs 144 0.23% 1 : 430 97.53%
52 32 63322 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AA632 one pair 384 0.62% 1 : 161 97.06%
54 KK KK632 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQ632 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJ632 one pair 384 0.62% 1 : 161 95.20%
57 TT TT632 one pair 384 0.62% 1 : 161 94.59%
58 99 99632 one pair 384 0.62% 1 : 161 93.97%
59 88 88632 one pair 384 0.62% 1 : 161 93.35%
60 77 77632 one pair 384 0.62% 1 : 161 92.73%
61 A6 A6632 one pair 384 0.62% 1 : 161 92.11%
62 K6 K6632 one pair 384 0.62% 1 : 161 91.49%
63 Q6 Q6632 one pair 384 0.62% 1 : 161 90.87%
64 J6 J6632 one pair 384 0.62% 1 : 161 90.26%
65 T6 T6632 one pair 384 0.62% 1 : 161 89.64%
66 96 96632 one pair 384 0.62% 1 : 161 89.02%
67 86 86632 one pair 384 0.62% 1 : 161 88.40%
68 76 76632 one pair 384 0.62% 1 : 161 87.78%
69 65 66532 one pair 384 0.62% 1 : 161 87.16%
70 64 66432 one pair 384 0.62% 1 : 161 86.54%
71 55 65532 one pair 384 0.62% 1 : 161 85.92%
72 44 64432 one pair 384 0.62% 1 : 161 85.31%
73 A3 A6332 one pair 384 0.62% 1 : 161 84.69%
74 K3 K6332 one pair 384 0.62% 1 : 161 84.07%
75 Q3 Q6332 one pair 384 0.62% 1 : 161 83.45%
76 J3 J6332 one pair 384 0.62% 1 : 161 82.83%
77 T3 T6332 one pair 384 0.62% 1 : 161 82.21%
78 93 96332 one pair 384 0.62% 1 : 161 81.59%
79 83 86332 one pair 384 0.62% 1 : 161 80.97%
80 73 76332 one pair 384 0.62% 1 : 161 80.36%
81 53 65332 one pair 384 0.62% 1 : 161 79.74%
82 43 64332 one pair 384 0.62% 1 : 161 79.12%
83 A2 A6322 one pair 384 0.62% 1 : 161 78.50%
84 K2 K6322 one pair 384 0.62% 1 : 161 77.88%
85 Q2 Q6322 one pair 384 0.62% 1 : 161 77.26%
86 J2 J6322 one pair 384 0.62% 1 : 161 76.64%
87 T2 T6322 one pair 384 0.62% 1 : 161 76.02%
88 92 96322 one pair 384 0.62% 1 : 161 75.41%
89 82 86322 one pair 384 0.62% 1 : 161 74.79%
90 72 76322 one pair 384 0.62% 1 : 161 74.17%
91 52 65322 one pair 384 0.62% 1 : 161 73.55%
92 42 64322 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AK632 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQ632 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJ632 high card 1,020 1.64% 1 : 59.8 69.03%
96 AT AT632 high card 1,020 1.64% 1 : 59.8 67.38%
97 A9 A9632 high card 1,020 1.64% 1 : 59.8 65.74%
98 A8 A8632 high card 1,020 1.64% 1 : 59.8 64.10%
99 A7 A7632 high card 1,020 1.64% 1 : 59.8 62.45%
100 A5 A6532 high card 1,020 1.64% 1 : 59.8 60.81%
101 A4 A6432 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQ632 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJ632 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KT632 high card 1,020 1.64% 1 : 59.8 54.23%
105 K9 K9632 high card 1,020 1.64% 1 : 59.8 52.59%
106 K8 K8632 high card 1,020 1.64% 1 : 59.8 50.95%
107 K7 K7632 high card 1,020 1.64% 1 : 59.8 49.30%
108 K5 K6532 high card 1,020 1.64% 1 : 59.8 47.66%
109 K4 K6432 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJ632 high card 1,020 1.64% 1 : 59.8 44.37%
111 QT QT632 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q9 Q9632 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q8 Q8632 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q7 Q7632 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q5 Q6532 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q4 Q6432 high card 1,020 1.64% 1 : 59.8 34.51%
117 JT JT632 high card 1,020 1.64% 1 : 59.8 32.87%
118 J9 J9632 high card 1,020 1.64% 1 : 59.8 31.23%
119 J8 J8632 high card 1,020 1.64% 1 : 59.8 29.58%
120 J7 J7632 high card 1,020 1.64% 1 : 59.8 27.94%
121 J5 J6532 high card 1,020 1.64% 1 : 59.8 26.30%
122 J4 J6432 high card 1,020 1.64% 1 : 59.8 24.65%
123 T9 T9632 high card 1,020 1.64% 1 : 59.8 23.01%
124 T8 T8632 high card 1,020 1.64% 1 : 59.8 21.37%
125 T7 T7632 high card 1,020 1.64% 1 : 59.8 19.72%
126 T5 T6532 high card 1,020 1.64% 1 : 59.8 18.08%
127 T4 T6432 high card 1,020 1.64% 1 : 59.8 16.43%
128 98 98632 high card 1,020 1.64% 1 : 59.8 14.79%
129 97 97632 high card 1,020 1.64% 1 : 59.8 13.15%
130 95 96532 high card 1,020 1.64% 1 : 59.8 11.50%
131 94 96432 high card 1,020 1.64% 1 : 59.8 9.86%
132 87 87632 high card 1,020 1.64% 1 : 59.8 8.22%
133 85 86532 high card 1,020 1.64% 1 : 59.8 6.57%
134 84 86432 high card 1,020 1.64% 1 : 59.8 4.93%
135 75 76532 high card 1,020 1.64% 1 : 59.8 3.29%
136 74 76432 high card 1,020 1.64% 1 : 59.8 1.64%