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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 42222 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 44 44422 full house 24 0.10% 1 : 1043 99.98%
3 42 44222 full house 24 0.10% 1 : 1043 99.89%
 
4 A2 A4222 three of a kind 64 0.26% 1 : 390 99.79%
5 K2 K4222 three of a kind 64 0.26% 1 : 390 99.54%
6 Q2 Q4222 three of a kind 64 0.26% 1 : 390 99.28%
7 J2 J4222 three of a kind 64 0.26% 1 : 390 99.03%
8 T2 T4222 three of a kind 64 0.26% 1 : 390 98.77%
9 92 94222 three of a kind 64 0.26% 1 : 390 98.51%
10 82 84222 three of a kind 64 0.26% 1 : 390 98.26%
11 72 74222 three of a kind 64 0.26% 1 : 390 98.00%
12 62 64222 three of a kind 64 0.26% 1 : 390 97.75%
13 52 54222 three of a kind 64 0.26% 1 : 390 97.49%
14 32 43222 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA422 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK422 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ422 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ422 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT422 two pairs 144 0.57% 1 : 173 94.68%
20 99 99422 two pairs 144 0.57% 1 : 173 94.11%
21 88 88422 two pairs 144 0.57% 1 : 173 93.53%
22 77 77422 two pairs 144 0.57% 1 : 173 92.96%
23 66 66422 two pairs 144 0.57% 1 : 173 92.38%
24 55 55422 two pairs 144 0.57% 1 : 173 91.81%
25 A4 A4422 two pairs 144 0.57% 1 : 173 91.23%
26 K4 K4422 two pairs 144 0.57% 1 : 173 90.66%
27 Q4 Q4422 two pairs 144 0.57% 1 : 173 90.08%
28 J4 J4422 two pairs 144 0.57% 1 : 173 89.51%
29 T4 T4422 two pairs 144 0.57% 1 : 173 88.93%
30 94 94422 two pairs 144 0.57% 1 : 173 88.36%
31 84 84422 two pairs 144 0.57% 1 : 173 87.78%
32 74 74422 two pairs 144 0.57% 1 : 173 87.21%
33 64 64422 two pairs 144 0.57% 1 : 173 86.63%
34 54 54422 two pairs 144 0.57% 1 : 173 86.06%
35 43 44322 two pairs 144 0.57% 1 : 173 85.48%
36 33 43322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK422 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ422 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ422 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT422 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9422 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8422 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7422 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6422 one pair 384 1.53% 1 : 64.2 73.60%
45 A5 A5422 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A4322 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ422 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ422 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT422 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9422 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8422 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7422 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6422 one pair 384 1.53% 1 : 64.2 59.80%
54 K5 K5422 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K4322 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ422 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT422 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9422 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8422 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7422 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6422 one pair 384 1.53% 1 : 64.2 47.53%
62 Q5 Q5422 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q4322 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT422 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9422 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8422 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7422 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6422 one pair 384 1.53% 1 : 64.2 36.80%
69 J5 J5422 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J4322 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9422 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8422 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7422 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6422 one pair 384 1.53% 1 : 64.2 27.60%
75 T5 T5422 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T4322 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98422 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97422 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96422 one pair 384 1.53% 1 : 64.2 19.93%
80 95 95422 one pair 384 1.53% 1 : 64.2 18.40%
81 93 94322 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87422 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86422 one pair 384 1.53% 1 : 64.2 13.80%
84 85 85422 one pair 384 1.53% 1 : 64.2 12.27%
85 83 84322 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76422 one pair 384 1.53% 1 : 64.2 9.20%
87 75 75422 one pair 384 1.53% 1 : 64.2 7.67%
88 73 74322 one pair 384 1.53% 1 : 64.2 6.13%
89 65 65422 one pair 384 1.53% 1 : 64.2 4.60%
90 63 64322 one pair 384 1.53% 1 : 64.2 3.07%
91 53 54322 one pair 384 1.53% 1 : 64.2 1.53%