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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 32222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 33 33322 full house 24 0.10% 1 : 1043 99.98%
3 32 33222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 A3222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 K3222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 Q3222 three of a kind 64 0.26% 1 : 390 99.28%
7 J2 J3222 three of a kind 64 0.26% 1 : 390 99.03%
8 T2 T3222 three of a kind 64 0.26% 1 : 390 98.77%
9 92 93222 three of a kind 64 0.26% 1 : 390 98.51%
10 82 83222 three of a kind 64 0.26% 1 : 390 98.26%
11 72 73222 three of a kind 64 0.26% 1 : 390 98.00%
12 62 63222 three of a kind 64 0.26% 1 : 390 97.75%
13 52 53222 three of a kind 64 0.26% 1 : 390 97.49%
14 42 43222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA322 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK322 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ322 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ322 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT322 two pairs 144 0.57% 1 : 173 94.68%
20 99 99322 two pairs 144 0.57% 1 : 173 94.11%
21 88 88322 two pairs 144 0.57% 1 : 173 93.53%
22 77 77322 two pairs 144 0.57% 1 : 173 92.96%
23 66 66322 two pairs 144 0.57% 1 : 173 92.38%
24 55 55322 two pairs 144 0.57% 1 : 173 91.81%
25 44 44322 two pairs 144 0.57% 1 : 173 91.23%
26 A3 A3322 two pairs 144 0.57% 1 : 173 90.66%
27 K3 K3322 two pairs 144 0.57% 1 : 173 90.08%
28 Q3 Q3322 two pairs 144 0.57% 1 : 173 89.51%
29 J3 J3322 two pairs 144 0.57% 1 : 173 88.93%
30 T3 T3322 two pairs 144 0.57% 1 : 173 88.36%
31 93 93322 two pairs 144 0.57% 1 : 173 87.78%
32 83 83322 two pairs 144 0.57% 1 : 173 87.21%
33 73 73322 two pairs 144 0.57% 1 : 173 86.63%
34 63 63322 two pairs 144 0.57% 1 : 173 86.06%
35 53 53322 two pairs 144 0.57% 1 : 173 85.48%
36 43 43322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK322 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ322 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ322 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT322 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9322 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8322 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7322 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6322 one pair 384 1.53% 1 : 64.2 73.60%
45 A5 A5322 one pair 384 1.53% 1 : 64.2 72.07%
46 A4 A4322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ322 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ322 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT322 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9322 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8322 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7322 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6322 one pair 384 1.53% 1 : 64.2 59.80%
54 K5 K5322 one pair 384 1.53% 1 : 64.2 58.27%
55 K4 K4322 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ322 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT322 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9322 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8322 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7322 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6322 one pair 384 1.53% 1 : 64.2 47.53%
62 Q5 Q5322 one pair 384 1.53% 1 : 64.2 46.00%
63 Q4 Q4322 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT322 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9322 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8322 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7322 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6322 one pair 384 1.53% 1 : 64.2 36.80%
69 J5 J5322 one pair 384 1.53% 1 : 64.2 35.27%
70 J4 J4322 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9322 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8322 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7322 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6322 one pair 384 1.53% 1 : 64.2 27.60%
75 T5 T5322 one pair 384 1.53% 1 : 64.2 26.07%
76 T4 T4322 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98322 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97322 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96322 one pair 384 1.53% 1 : 64.2 19.93%
80 95 95322 one pair 384 1.53% 1 : 64.2 18.40%
81 94 94322 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87322 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86322 one pair 384 1.53% 1 : 64.2 13.80%
84 85 85322 one pair 384 1.53% 1 : 64.2 12.27%
85 84 84322 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76322 one pair 384 1.53% 1 : 64.2 9.20%
87 75 75322 one pair 384 1.53% 1 : 64.2 7.67%
88 74 74322 one pair 384 1.53% 1 : 64.2 6.13%
89 65 65322 one pair 384 1.53% 1 : 64.2 4.60%
90 64 64322 one pair 384 1.53% 1 : 64.2 3.07%
91 54 54322 one pair 384 1.53% 1 : 64.2 1.53%