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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 55 55554 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 54 55544 full house 24 0.10% 1 : 1043 99.98%
3 44 55444 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 A5554 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 K5554 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 Q5554 three of a kind 64 0.26% 1 : 390 99.28%
7 J5 J5554 three of a kind 64 0.26% 1 : 390 99.03%
8 T5 T5554 three of a kind 64 0.26% 1 : 390 98.77%
9 95 95554 three of a kind 64 0.26% 1 : 390 98.51%
10 85 85554 three of a kind 64 0.26% 1 : 390 98.26%
11 75 75554 three of a kind 64 0.26% 1 : 390 98.00%
12 65 65554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 55543 three of a kind 64 0.26% 1 : 390 97.49%
14 52 55542 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA554 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK554 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ554 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ554 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT554 two pairs 144 0.57% 1 : 173 94.68%
20 99 99554 two pairs 144 0.57% 1 : 173 94.11%
21 88 88554 two pairs 144 0.57% 1 : 173 93.53%
22 77 77554 two pairs 144 0.57% 1 : 173 92.96%
23 66 66554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 A5544 two pairs 144 0.57% 1 : 173 91.81%
25 K4 K5544 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 Q5544 two pairs 144 0.57% 1 : 173 90.66%
27 J4 J5544 two pairs 144 0.57% 1 : 173 90.08%
28 T4 T5544 two pairs 144 0.57% 1 : 173 89.51%
29 94 95544 two pairs 144 0.57% 1 : 173 88.93%
30 84 85544 two pairs 144 0.57% 1 : 173 88.36%
31 74 75544 two pairs 144 0.57% 1 : 173 87.78%
32 64 65544 two pairs 144 0.57% 1 : 173 87.21%
33 43 55443 two pairs 144 0.57% 1 : 173 86.63%
34 42 55442 two pairs 144 0.57% 1 : 173 86.06%
35 33 55433 two pairs 144 0.57% 1 : 173 85.48%
36 22 55422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK554 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ554 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ554 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT554 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9554 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8554 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7554 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A5543 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A5542 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ554 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ554 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT554 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9554 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8554 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7554 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6554 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K5543 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K5542 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ554 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT554 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9554 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8554 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7554 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6554 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q5543 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q5542 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT554 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9554 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8554 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7554 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6554 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J5543 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J5542 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9554 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8554 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7554 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6554 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T5543 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T5542 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98554 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97554 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96554 one pair 384 1.53% 1 : 64.2 19.93%
80 93 95543 one pair 384 1.53% 1 : 64.2 18.40%
81 92 95542 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87554 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86554 one pair 384 1.53% 1 : 64.2 13.80%
84 83 85543 one pair 384 1.53% 1 : 64.2 12.27%
85 82 85542 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76554 one pair 384 1.53% 1 : 64.2 9.20%
87 73 75543 one pair 384 1.53% 1 : 64.2 7.67%
88 72 75542 one pair 384 1.53% 1 : 64.2 6.13%
89 63 65543 one pair 384 1.53% 1 : 64.2 4.60%
90 62 65542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 55432 one pair 384 1.53% 1 : 64.2 1.53%