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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 62222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 66 66622 full house 24 0.10% 1 : 1043 99.98%
3 62 66222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 A6222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 K6222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 Q6222 three of a kind 64 0.26% 1 : 390 99.28%
7 J2 J6222 three of a kind 64 0.26% 1 : 390 99.03%
8 T2 T6222 three of a kind 64 0.26% 1 : 390 98.77%
9 92 96222 three of a kind 64 0.26% 1 : 390 98.51%
10 82 86222 three of a kind 64 0.26% 1 : 390 98.26%
11 72 76222 three of a kind 64 0.26% 1 : 390 98.00%
12 52 65222 three of a kind 64 0.26% 1 : 390 97.75%
13 42 64222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 63222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA622 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK622 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ622 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ622 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT622 two pairs 144 0.57% 1 : 173 94.68%
20 99 99622 two pairs 144 0.57% 1 : 173 94.11%
21 88 88622 two pairs 144 0.57% 1 : 173 93.53%
22 77 77622 two pairs 144 0.57% 1 : 173 92.96%
23 A6 A6622 two pairs 144 0.57% 1 : 173 92.38%
24 K6 K6622 two pairs 144 0.57% 1 : 173 91.81%
25 Q6 Q6622 two pairs 144 0.57% 1 : 173 91.23%
26 J6 J6622 two pairs 144 0.57% 1 : 173 90.66%
27 T6 T6622 two pairs 144 0.57% 1 : 173 90.08%
28 96 96622 two pairs 144 0.57% 1 : 173 89.51%
29 86 86622 two pairs 144 0.57% 1 : 173 88.93%
30 76 76622 two pairs 144 0.57% 1 : 173 88.36%
31 65 66522 two pairs 144 0.57% 1 : 173 87.78%
32 64 66422 two pairs 144 0.57% 1 : 173 87.21%
33 63 66322 two pairs 144 0.57% 1 : 173 86.63%
34 55 65522 two pairs 144 0.57% 1 : 173 86.06%
35 44 64422 two pairs 144 0.57% 1 : 173 85.48%
36 33 63322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK622 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ622 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ622 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT622 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9622 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8622 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7622 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A6522 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A6422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A6322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ622 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ622 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT622 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9622 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8622 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7622 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K6522 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K6422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K6322 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ622 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT622 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9622 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8622 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7622 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q6522 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q6422 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q6322 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT622 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9622 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8622 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7622 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J6522 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J6422 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J6322 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9622 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8622 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7622 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T6522 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T6422 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T6322 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98622 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97622 one pair 384 1.53% 1 : 64.2 21.47%
79 95 96522 one pair 384 1.53% 1 : 64.2 19.93%
80 94 96422 one pair 384 1.53% 1 : 64.2 18.40%
81 93 96322 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87622 one pair 384 1.53% 1 : 64.2 15.33%
83 85 86522 one pair 384 1.53% 1 : 64.2 13.80%
84 84 86422 one pair 384 1.53% 1 : 64.2 12.27%
85 83 86322 one pair 384 1.53% 1 : 64.2 10.73%
86 75 76522 one pair 384 1.53% 1 : 64.2 9.20%
87 74 76422 one pair 384 1.53% 1 : 64.2 7.67%
88 73 76322 one pair 384 1.53% 1 : 64.2 6.13%
89 54 65422 one pair 384 1.53% 1 : 64.2 4.60%
90 53 65322 one pair 384 1.53% 1 : 64.2 3.07%
91 43 64322 one pair 384 1.53% 1 : 64.2 1.53%