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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 AK762 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ762 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ762 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT762 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9762 flush 4 0.01% 1 : 15515 99.97%
6 A8s A8762 flush 4 0.01% 1 : 15515 99.97%
7 A5s A7652 flush 4 0.01% 1 : 15515 99.96%
8 A4s A7642 flush 4 0.01% 1 : 15515 99.95%
9 A3s A7632 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ762 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ762 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT762 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9762 flush 4 0.01% 1 : 15515 99.92%
14 K8s K8762 flush 4 0.01% 1 : 15515 99.92%
15 K5s K7652 flush 4 0.01% 1 : 15515 99.91%
16 K4s K7642 flush 4 0.01% 1 : 15515 99.90%
17 K3s K7632 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ762 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT762 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9762 flush 4 0.01% 1 : 15515 99.88%
21 Q8s Q8762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q7652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q7642 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q7632 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT762 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9762 flush 4 0.01% 1 : 15515 99.84%
27 J8s J8762 flush 4 0.01% 1 : 15515 99.83%
28 J5s J7652 flush 4 0.01% 1 : 15515 99.83%
29 J4s J7642 flush 4 0.01% 1 : 15515 99.82%
30 J3s J7632 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9762 flush 4 0.01% 1 : 15515 99.81%
32 T8s T8762 flush 4 0.01% 1 : 15515 99.80%
33 T5s T7652 flush 4 0.01% 1 : 15515 99.79%
34 T4s T7642 flush 4 0.01% 1 : 15515 99.79%
35 T3s T7632 flush 4 0.01% 1 : 15515 99.78%
36 98s 98762 flush 4 0.01% 1 : 15515 99.77%
37 95s 97652 flush 4 0.01% 1 : 15515 99.77%
38 94s 97642 flush 4 0.01% 1 : 15515 99.76%
39 93s 97632 flush 4 0.01% 1 : 15515 99.76%
40 85s 87652 flush 4 0.01% 1 : 15515 99.75%
41 84s 87642 flush 4 0.01% 1 : 15515 99.74%
42 83s 87632 flush 4 0.01% 1 : 15515 99.74%
43 54s 76542 flush 4 0.01% 1 : 15515 99.73%
44 53s 76532 flush 4 0.01% 1 : 15515 99.72%
45 43s 76432 flush 4 0.01% 1 : 15515 99.72%
 
46 77 77762 three of a kind 64 0.10% 1 : 969 99.71%
47 66 76662 three of a kind 64 0.10% 1 : 969 99.61%
48 22 76222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 76 77662 two pairs 144 0.23% 1 : 430 99.40%
50 72 77622 two pairs 144 0.23% 1 : 430 99.17%
51 62 76622 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA762 one pair 384 0.62% 1 : 161 98.70%
53 KK KK762 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ762 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ762 one pair 384 0.62% 1 : 161 96.85%
56 TT TT762 one pair 384 0.62% 1 : 161 96.23%
57 99 99762 one pair 384 0.62% 1 : 161 95.61%
58 88 88762 one pair 384 0.62% 1 : 161 94.99%
59 A7 A7762 one pair 384 0.62% 1 : 161 94.37%
60 K7 K7762 one pair 384 0.62% 1 : 161 93.75%
61 Q7 Q7762 one pair 384 0.62% 1 : 161 93.14%
62 J7 J7762 one pair 384 0.62% 1 : 161 92.52%
63 T7 T7762 one pair 384 0.62% 1 : 161 91.90%
64 97 97762 one pair 384 0.62% 1 : 161 91.28%
65 87 87762 one pair 384 0.62% 1 : 161 90.66%
66 75 77652 one pair 384 0.62% 1 : 161 90.04%
67 74 77642 one pair 384 0.62% 1 : 161 89.42%
68 73 77632 one pair 384 0.62% 1 : 161 88.81%
69 A6 A7662 one pair 384 0.62% 1 : 161 88.19%
70 K6 K7662 one pair 384 0.62% 1 : 161 87.57%
71 Q6 Q7662 one pair 384 0.62% 1 : 161 86.95%
72 J6 J7662 one pair 384 0.62% 1 : 161 86.33%
73 T6 T7662 one pair 384 0.62% 1 : 161 85.71%
74 96 97662 one pair 384 0.62% 1 : 161 85.09%
75 86 87662 one pair 384 0.62% 1 : 161 84.47%
76 65 76652 one pair 384 0.62% 1 : 161 83.86%
77 64 76642 one pair 384 0.62% 1 : 161 83.24%
78 63 76632 one pair 384 0.62% 1 : 161 82.62%
79 55 76552 one pair 384 0.62% 1 : 161 82.00%
80 44 76442 one pair 384 0.62% 1 : 161 81.38%
81 33 76332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A7622 one pair 384 0.62% 1 : 161 80.14%
83 K2 K7622 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q7622 one pair 384 0.62% 1 : 161 78.91%
85 J2 J7622 one pair 384 0.62% 1 : 161 78.29%
86 T2 T7622 one pair 384 0.62% 1 : 161 77.67%
87 92 97622 one pair 384 0.62% 1 : 161 77.05%
88 82 87622 one pair 384 0.62% 1 : 161 76.43%
89 52 76522 one pair 384 0.62% 1 : 161 75.81%
90 42 76422 one pair 384 0.62% 1 : 161 75.19%
91 32 76322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK762 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ762 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ762 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT762 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9762 high card 1,020 1.64% 1 : 59.8 67.38%
97 A8 A8762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A7652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A7642 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A7632 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ762 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ762 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT762 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9762 high card 1,020 1.64% 1 : 59.8 54.23%
105 K8 K8762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K7652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K7642 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K7632 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ762 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT762 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9762 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q8 Q8762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q7652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q7642 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q7632 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT762 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9762 high card 1,020 1.64% 1 : 59.8 32.87%
118 J8 J8762 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J7652 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J7642 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J7632 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9762 high card 1,020 1.64% 1 : 59.8 24.65%
123 T8 T8762 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T7652 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T7642 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T7632 high card 1,020 1.64% 1 : 59.8 18.08%
127 98 98762 high card 1,020 1.64% 1 : 59.8 16.43%
128 95 97652 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 97642 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 97632 high card 1,020 1.64% 1 : 59.8 11.50%
131 85 87652 high card 1,020 1.64% 1 : 59.8 9.86%
132 84 87642 high card 1,020 1.64% 1 : 59.8 8.22%
133 83 87632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 76542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 76532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 76432 high card 1,020 1.64% 1 : 59.8 1.64%