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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 1 4 0.02% 1 : 6260
full house 2 48 0.19% 1 : 521
flush 0 0 impossible impossible
straight 0 0 impossible impossible
three of a kind 11 704 2.81% 1 : 34.6
two pairs 22 3,168 12.65% 1 : 6.91
one pair 55 21,120 84.33% 5.38 : 1
high card 0 0 impossible impossible
total 91 25,044 100 %



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 91 distinct hole cards
hole cards hand category combinations probability odds equity
nuts 22 82222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 88 88822 full house 24 0.10% 1 : 1043 99.98%
3 82 88222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 A8222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 K8222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 Q8222 three of a kind 64 0.26% 1 : 390 99.28%
7 J2 J8222 three of a kind 64 0.26% 1 : 390 99.03%
8 T2 T8222 three of a kind 64 0.26% 1 : 390 98.77%
9 92 98222 three of a kind 64 0.26% 1 : 390 98.51%
10 72 87222 three of a kind 64 0.26% 1 : 390 98.26%
11 62 86222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 85222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 84222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 83222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA822 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK822 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ822 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ822 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT822 two pairs 144 0.57% 1 : 173 94.68%
20 99 99822 two pairs 144 0.57% 1 : 173 94.11%
21 A8 A8822 two pairs 144 0.57% 1 : 173 93.53%
22 K8 K8822 two pairs 144 0.57% 1 : 173 92.96%
23 Q8 Q8822 two pairs 144 0.57% 1 : 173 92.38%
24 J8 J8822 two pairs 144 0.57% 1 : 173 91.81%
25 T8 T8822 two pairs 144 0.57% 1 : 173 91.23%
26 98 98822 two pairs 144 0.57% 1 : 173 90.66%
27 87 88722 two pairs 144 0.57% 1 : 173 90.08%
28 86 88622 two pairs 144 0.57% 1 : 173 89.51%
29 85 88522 two pairs 144 0.57% 1 : 173 88.93%
30 84 88422 two pairs 144 0.57% 1 : 173 88.36%
31 83 88322 two pairs 144 0.57% 1 : 173 87.78%
32 77 87722 two pairs 144 0.57% 1 : 173 87.21%
33 66 86622 two pairs 144 0.57% 1 : 173 86.63%
34 55 85522 two pairs 144 0.57% 1 : 173 86.06%
35 44 84422 two pairs 144 0.57% 1 : 173 85.48%
36 33 83322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK822 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ822 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ822 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT822 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9822 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8722 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A8622 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A8522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A8422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A8322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ822 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ822 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT822 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9822 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8722 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K8622 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K8522 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K8422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K8322 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ822 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT822 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9822 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8722 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q8622 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q8522 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q8422 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q8322 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT822 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9822 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8722 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J8622 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J8522 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J8422 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J8322 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9822 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8722 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T8622 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T8522 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T8422 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T8322 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98722 one pair 384 1.53% 1 : 64.2 23.00%
78 96 98622 one pair 384 1.53% 1 : 64.2 21.47%
79 95 98522 one pair 384 1.53% 1 : 64.2 19.93%
80 94 98422 one pair 384 1.53% 1 : 64.2 18.40%
81 93 98322 one pair 384 1.53% 1 : 64.2 16.87%
82 76 87622 one pair 384 1.53% 1 : 64.2 15.33%
83 75 87522 one pair 384 1.53% 1 : 64.2 13.80%
84 74 87422 one pair 384 1.53% 1 : 64.2 12.27%
85 73 87322 one pair 384 1.53% 1 : 64.2 10.73%
86 65 86522 one pair 384 1.53% 1 : 64.2 9.20%
87 64 86422 one pair 384 1.53% 1 : 64.2 7.67%
88 63 86322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 85422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 85322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 84322 one pair 384 1.53% 1 : 64.2 1.53%