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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 53s 65432 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AK642 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQ642 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJ642 flush 4 0.01% 1 : 15515 99.98%
5 ATs AT642 flush 4 0.01% 1 : 15515 99.97%
6 A9s A9642 flush 4 0.01% 1 : 15515 99.97%
7 A8s A8642 flush 4 0.01% 1 : 15515 99.96%
8 A7s A7642 flush 4 0.01% 1 : 15515 99.95%
9 A5s A6542 flush 4 0.01% 1 : 15515 99.95%
10 A3s A6432 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQ642 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJ642 flush 4 0.01% 1 : 15515 99.93%
13 KTs KT642 flush 4 0.01% 1 : 15515 99.92%
14 K9s K9642 flush 4 0.01% 1 : 15515 99.92%
15 K8s K8642 flush 4 0.01% 1 : 15515 99.91%
16 K7s K7642 flush 4 0.01% 1 : 15515 99.90%
17 K5s K6542 flush 4 0.01% 1 : 15515 99.90%
18 K3s K6432 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJ642 flush 4 0.01% 1 : 15515 99.88%
20 QTs QT642 flush 4 0.01% 1 : 15515 99.88%
21 Q9s Q9642 flush 4 0.01% 1 : 15515 99.87%
22 Q8s Q8642 flush 4 0.01% 1 : 15515 99.86%
23 Q7s Q7642 flush 4 0.01% 1 : 15515 99.86%
24 Q5s Q6542 flush 4 0.01% 1 : 15515 99.85%
25 Q3s Q6432 flush 4 0.01% 1 : 15515 99.85%
26 JTs JT642 flush 4 0.01% 1 : 15515 99.84%
27 J9s J9642 flush 4 0.01% 1 : 15515 99.83%
28 J8s J8642 flush 4 0.01% 1 : 15515 99.83%
29 J7s J7642 flush 4 0.01% 1 : 15515 99.82%
30 J5s J6542 flush 4 0.01% 1 : 15515 99.81%
31 J3s J6432 flush 4 0.01% 1 : 15515 99.81%
32 T9s T9642 flush 4 0.01% 1 : 15515 99.80%
33 T8s T8642 flush 4 0.01% 1 : 15515 99.79%
34 T7s T7642 flush 4 0.01% 1 : 15515 99.79%
35 T5s T6542 flush 4 0.01% 1 : 15515 99.78%
36 T3s T6432 flush 4 0.01% 1 : 15515 99.77%
37 98s 98642 flush 4 0.01% 1 : 15515 99.77%
38 97s 97642 flush 4 0.01% 1 : 15515 99.76%
39 95s 96542 flush 4 0.01% 1 : 15515 99.76%
40 93s 96432 flush 4 0.01% 1 : 15515 99.75%
41 87s 87642 flush 4 0.01% 1 : 15515 99.74%
42 85s 86542 flush 4 0.01% 1 : 15515 99.74%
43 83s 86432 flush 4 0.01% 1 : 15515 99.73%
44 75s 76542 flush 4 0.01% 1 : 15515 99.72%
45 73s 76432 flush 4 0.01% 1 : 15515 99.72%
 
46 53 65432 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 66 66642 three of a kind 64 0.10% 1 : 969 98.07%
48 44 64442 three of a kind 64 0.10% 1 : 969 97.96%
49 22 64222 three of a kind 64 0.10% 1 : 969 97.86%
 
50 64 66442 two pairs 144 0.23% 1 : 430 97.76%
51 62 66422 two pairs 144 0.23% 1 : 430 97.53%
52 42 64422 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AA642 one pair 384 0.62% 1 : 161 97.06%
54 KK KK642 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQ642 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJ642 one pair 384 0.62% 1 : 161 95.20%
57 TT TT642 one pair 384 0.62% 1 : 161 94.59%
58 99 99642 one pair 384 0.62% 1 : 161 93.97%
59 88 88642 one pair 384 0.62% 1 : 161 93.35%
60 77 77642 one pair 384 0.62% 1 : 161 92.73%
61 A6 A6642 one pair 384 0.62% 1 : 161 92.11%
62 K6 K6642 one pair 384 0.62% 1 : 161 91.49%
63 Q6 Q6642 one pair 384 0.62% 1 : 161 90.87%
64 J6 J6642 one pair 384 0.62% 1 : 161 90.26%
65 T6 T6642 one pair 384 0.62% 1 : 161 89.64%
66 96 96642 one pair 384 0.62% 1 : 161 89.02%
67 86 86642 one pair 384 0.62% 1 : 161 88.40%
68 76 76642 one pair 384 0.62% 1 : 161 87.78%
69 65 66542 one pair 384 0.62% 1 : 161 87.16%
70 63 66432 one pair 384 0.62% 1 : 161 86.54%
71 55 65542 one pair 384 0.62% 1 : 161 85.92%
72 A4 A6442 one pair 384 0.62% 1 : 161 85.31%
73 K4 K6442 one pair 384 0.62% 1 : 161 84.69%
74 Q4 Q6442 one pair 384 0.62% 1 : 161 84.07%
75 J4 J6442 one pair 384 0.62% 1 : 161 83.45%
76 T4 T6442 one pair 384 0.62% 1 : 161 82.83%
77 94 96442 one pair 384 0.62% 1 : 161 82.21%
78 84 86442 one pair 384 0.62% 1 : 161 81.59%
79 74 76442 one pair 384 0.62% 1 : 161 80.97%
80 54 65442 one pair 384 0.62% 1 : 161 80.36%
81 43 64432 one pair 384 0.62% 1 : 161 79.74%
82 33 64332 one pair 384 0.62% 1 : 161 79.12%
83 A2 A6422 one pair 384 0.62% 1 : 161 78.50%
84 K2 K6422 one pair 384 0.62% 1 : 161 77.88%
85 Q2 Q6422 one pair 384 0.62% 1 : 161 77.26%
86 J2 J6422 one pair 384 0.62% 1 : 161 76.64%
87 T2 T6422 one pair 384 0.62% 1 : 161 76.02%
88 92 96422 one pair 384 0.62% 1 : 161 75.41%
89 82 86422 one pair 384 0.62% 1 : 161 74.79%
90 72 76422 one pair 384 0.62% 1 : 161 74.17%
91 52 65422 one pair 384 0.62% 1 : 161 73.55%
92 32 64322 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AK642 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQ642 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJ642 high card 1,020 1.64% 1 : 59.8 69.03%
96 AT AT642 high card 1,020 1.64% 1 : 59.8 67.38%
97 A9 A9642 high card 1,020 1.64% 1 : 59.8 65.74%
98 A8 A8642 high card 1,020 1.64% 1 : 59.8 64.10%
99 A7 A7642 high card 1,020 1.64% 1 : 59.8 62.45%
100 A5 A6542 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 A6432 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQ642 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJ642 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KT642 high card 1,020 1.64% 1 : 59.8 54.23%
105 K9 K9642 high card 1,020 1.64% 1 : 59.8 52.59%
106 K8 K8642 high card 1,020 1.64% 1 : 59.8 50.95%
107 K7 K7642 high card 1,020 1.64% 1 : 59.8 49.30%
108 K5 K6542 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 K6432 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJ642 high card 1,020 1.64% 1 : 59.8 44.37%
111 QT QT642 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q9 Q9642 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q8 Q8642 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q7 Q7642 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q5 Q6542 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 Q6432 high card 1,020 1.64% 1 : 59.8 34.51%
117 JT JT642 high card 1,020 1.64% 1 : 59.8 32.87%
118 J9 J9642 high card 1,020 1.64% 1 : 59.8 31.23%
119 J8 J8642 high card 1,020 1.64% 1 : 59.8 29.58%
120 J7 J7642 high card 1,020 1.64% 1 : 59.8 27.94%
121 J5 J6542 high card 1,020 1.64% 1 : 59.8 26.30%
122 J3 J6432 high card 1,020 1.64% 1 : 59.8 24.65%
123 T9 T9642 high card 1,020 1.64% 1 : 59.8 23.01%
124 T8 T8642 high card 1,020 1.64% 1 : 59.8 21.37%
125 T7 T7642 high card 1,020 1.64% 1 : 59.8 19.72%
126 T5 T6542 high card 1,020 1.64% 1 : 59.8 18.08%
127 T3 T6432 high card 1,020 1.64% 1 : 59.8 16.43%
128 98 98642 high card 1,020 1.64% 1 : 59.8 14.79%
129 97 97642 high card 1,020 1.64% 1 : 59.8 13.15%
130 95 96542 high card 1,020 1.64% 1 : 59.8 11.50%
131 93 96432 high card 1,020 1.64% 1 : 59.8 9.86%
132 87 87642 high card 1,020 1.64% 1 : 59.8 8.22%
133 85 86542 high card 1,020 1.64% 1 : 59.8 6.57%
134 83 86432 high card 1,020 1.64% 1 : 59.8 4.93%
135 75 76542 high card 1,020 1.64% 1 : 59.8 3.29%
136 73 76432 high card 1,020 1.64% 1 : 59.8 1.64%