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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 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 85s 87654 straight flush 4 0.01% 1 : 15515 100.00%
2 53s 76543 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AK764 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQ764 flush 4 0.01% 1 : 15515 99.98%
5 AJs AJ764 flush 4 0.01% 1 : 15515 99.97%
6 ATs AT764 flush 4 0.01% 1 : 15515 99.97%
7 A9s A9764 flush 4 0.01% 1 : 15515 99.96%
8 A8s A8764 flush 4 0.01% 1 : 15515 99.95%
9 A5s A7654 flush 4 0.01% 1 : 15515 99.95%
10 A3s A7643 flush 4 0.01% 1 : 15515 99.94%
11 A2s A7642 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQ764 flush 4 0.01% 1 : 15515 99.93%
13 KJs KJ764 flush 4 0.01% 1 : 15515 99.92%
14 KTs KT764 flush 4 0.01% 1 : 15515 99.92%
15 K9s K9764 flush 4 0.01% 1 : 15515 99.91%
16 K8s K8764 flush 4 0.01% 1 : 15515 99.90%
17 K5s K7654 flush 4 0.01% 1 : 15515 99.90%
18 K3s K7643 flush 4 0.01% 1 : 15515 99.89%
19 K2s K7642 flush 4 0.01% 1 : 15515 99.88%
20 QJs QJ764 flush 4 0.01% 1 : 15515 99.88%
21 QTs QT764 flush 4 0.01% 1 : 15515 99.87%
22 Q9s Q9764 flush 4 0.01% 1 : 15515 99.86%
23 Q8s Q8764 flush 4 0.01% 1 : 15515 99.86%
24 Q5s Q7654 flush 4 0.01% 1 : 15515 99.85%
25 Q3s Q7643 flush 4 0.01% 1 : 15515 99.85%
26 Q2s Q7642 flush 4 0.01% 1 : 15515 99.84%
27 JTs JT764 flush 4 0.01% 1 : 15515 99.83%
28 J9s J9764 flush 4 0.01% 1 : 15515 99.83%
29 J8s J8764 flush 4 0.01% 1 : 15515 99.82%
30 J5s J7654 flush 4 0.01% 1 : 15515 99.81%
31 J3s J7643 flush 4 0.01% 1 : 15515 99.81%
32 J2s J7642 flush 4 0.01% 1 : 15515 99.80%
33 T9s T9764 flush 4 0.01% 1 : 15515 99.79%
34 T8s T8764 flush 4 0.01% 1 : 15515 99.79%
35 T5s T7654 flush 4 0.01% 1 : 15515 99.78%
36 T3s T7643 flush 4 0.01% 1 : 15515 99.77%
37 T2s T7642 flush 4 0.01% 1 : 15515 99.77%
38 98s 98764 flush 4 0.01% 1 : 15515 99.76%
39 95s 97654 flush 4 0.01% 1 : 15515 99.76%
40 93s 97643 flush 4 0.01% 1 : 15515 99.75%
41 92s 97642 flush 4 0.01% 1 : 15515 99.74%
42 83s 87643 flush 4 0.01% 1 : 15515 99.74%
43 82s 87642 flush 4 0.01% 1 : 15515 99.73%
44 52s 76542 flush 4 0.01% 1 : 15515 99.72%
45 32s 76432 flush 4 0.01% 1 : 15515 99.72%
 
46 85 87654 straight 1,020 1.64% 1 : 59.8 99.71%
47 53 76543 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 77 77764 three of a kind 64 0.10% 1 : 969 96.42%
49 66 76664 three of a kind 64 0.10% 1 : 969 96.32%
50 44 76444 three of a kind 64 0.10% 1 : 969 96.22%
 
51 76 77664 two pairs 144 0.23% 1 : 430 96.11%
52 74 77644 two pairs 144 0.23% 1 : 430 95.88%
53 64 76644 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AA764 one pair 384 0.62% 1 : 161 95.42%
55 KK KK764 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQ764 one pair 384 0.62% 1 : 161 94.18%
57 JJ JJ764 one pair 384 0.62% 1 : 161 93.56%
58 TT TT764 one pair 384 0.62% 1 : 161 92.94%
59 99 99764 one pair 384 0.62% 1 : 161 92.32%
60 88 88764 one pair 384 0.62% 1 : 161 91.71%
61 A7 A7764 one pair 384 0.62% 1 : 161 91.09%
62 K7 K7764 one pair 384 0.62% 1 : 161 90.47%
63 Q7 Q7764 one pair 384 0.62% 1 : 161 89.85%
64 J7 J7764 one pair 384 0.62% 1 : 161 89.23%
65 T7 T7764 one pair 384 0.62% 1 : 161 88.61%
66 97 97764 one pair 384 0.62% 1 : 161 87.99%
67 87 87764 one pair 384 0.62% 1 : 161 87.37%
68 75 77654 one pair 384 0.62% 1 : 161 86.76%
69 73 77643 one pair 384 0.62% 1 : 161 86.14%
70 72 77642 one pair 384 0.62% 1 : 161 85.52%
71 A6 A7664 one pair 384 0.62% 1 : 161 84.90%
72 K6 K7664 one pair 384 0.62% 1 : 161 84.28%
73 Q6 Q7664 one pair 384 0.62% 1 : 161 83.66%
74 J6 J7664 one pair 384 0.62% 1 : 161 83.04%
75 T6 T7664 one pair 384 0.62% 1 : 161 82.42%
76 96 97664 one pair 384 0.62% 1 : 161 81.81%
77 86 87664 one pair 384 0.62% 1 : 161 81.19%
78 65 76654 one pair 384 0.62% 1 : 161 80.57%
79 63 76643 one pair 384 0.62% 1 : 161 79.95%
80 62 76642 one pair 384 0.62% 1 : 161 79.33%
81 55 76554 one pair 384 0.62% 1 : 161 78.71%
82 A4 A7644 one pair 384 0.62% 1 : 161 78.09%
83 K4 K7644 one pair 384 0.62% 1 : 161 77.47%
84 Q4 Q7644 one pair 384 0.62% 1 : 161 76.86%
85 J4 J7644 one pair 384 0.62% 1 : 161 76.24%
86 T4 T7644 one pair 384 0.62% 1 : 161 75.62%
87 94 97644 one pair 384 0.62% 1 : 161 75.00%
88 84 87644 one pair 384 0.62% 1 : 161 74.38%
89 54 76544 one pair 384 0.62% 1 : 161 73.76%
90 43 76443 one pair 384 0.62% 1 : 161 73.14%
91 42 76442 one pair 384 0.62% 1 : 161 72.53%
92 33 76433 one pair 384 0.62% 1 : 161 71.91%
93 22 76422 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AK764 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQ764 high card 1,020 1.64% 1 : 59.8 69.03%
96 AJ AJ764 high card 1,020 1.64% 1 : 59.8 67.38%
97 AT AT764 high card 1,020 1.64% 1 : 59.8 65.74%
98 A9 A9764 high card 1,020 1.64% 1 : 59.8 64.10%
99 A8 A8764 high card 1,020 1.64% 1 : 59.8 62.45%
100 A5 A7654 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 A7643 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 A7642 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQ764 high card 1,020 1.64% 1 : 59.8 55.88%
104 KJ KJ764 high card 1,020 1.64% 1 : 59.8 54.23%
105 KT KT764 high card 1,020 1.64% 1 : 59.8 52.59%
106 K9 K9764 high card 1,020 1.64% 1 : 59.8 50.95%
107 K8 K8764 high card 1,020 1.64% 1 : 59.8 49.30%
108 K5 K7654 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 K7643 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 K7642 high card 1,020 1.64% 1 : 59.8 44.37%
111 QJ QJ764 high card 1,020 1.64% 1 : 59.8 42.73%
112 QT QT764 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q9 Q9764 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q8 Q8764 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q5 Q7654 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 Q7643 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 Q7642 high card 1,020 1.64% 1 : 59.8 32.87%
118 JT JT764 high card 1,020 1.64% 1 : 59.8 31.23%
119 J9 J9764 high card 1,020 1.64% 1 : 59.8 29.58%
120 J8 J8764 high card 1,020 1.64% 1 : 59.8 27.94%
121 J5 J7654 high card 1,020 1.64% 1 : 59.8 26.30%
122 J3 J7643 high card 1,020 1.64% 1 : 59.8 24.65%
123 J2 J7642 high card 1,020 1.64% 1 : 59.8 23.01%
124 T9 T9764 high card 1,020 1.64% 1 : 59.8 21.37%
125 T8 T8764 high card 1,020 1.64% 1 : 59.8 19.72%
126 T5 T7654 high card 1,020 1.64% 1 : 59.8 18.08%
127 T3 T7643 high card 1,020 1.64% 1 : 59.8 16.43%
128 T2 T7642 high card 1,020 1.64% 1 : 59.8 14.79%
129 98 98764 high card 1,020 1.64% 1 : 59.8 13.15%
130 95 97654 high card 1,020 1.64% 1 : 59.8 11.50%
131 93 97643 high card 1,020 1.64% 1 : 59.8 9.86%
132 92 97642 high card 1,020 1.64% 1 : 59.8 8.22%
133 83 87643 high card 1,020 1.64% 1 : 59.8 6.57%
134 82 87642 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 76542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 76432 high card 1,020 1.64% 1 : 59.8 1.64%