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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 44 54444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 55 55544 full house 24 0.10% 1 : 1043 99.98%
3 54 55444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 A5444 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 K5444 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 Q5444 three of a kind 64 0.26% 1 : 390 99.28%
7 J4 J5444 three of a kind 64 0.26% 1 : 390 99.03%
8 T4 T5444 three of a kind 64 0.26% 1 : 390 98.77%
9 94 95444 three of a kind 64 0.26% 1 : 390 98.51%
10 84 85444 three of a kind 64 0.26% 1 : 390 98.26%
11 74 75444 three of a kind 64 0.26% 1 : 390 98.00%
12 64 65444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 54443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 54442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA544 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK544 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ544 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ544 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT544 two pairs 144 0.57% 1 : 173 94.68%
20 99 99544 two pairs 144 0.57% 1 : 173 94.11%
21 88 88544 two pairs 144 0.57% 1 : 173 93.53%
22 77 77544 two pairs 144 0.57% 1 : 173 92.96%
23 66 66544 two pairs 144 0.57% 1 : 173 92.38%
24 A5 A5544 two pairs 144 0.57% 1 : 173 91.81%
25 K5 K5544 two pairs 144 0.57% 1 : 173 91.23%
26 Q5 Q5544 two pairs 144 0.57% 1 : 173 90.66%
27 J5 J5544 two pairs 144 0.57% 1 : 173 90.08%
28 T5 T5544 two pairs 144 0.57% 1 : 173 89.51%
29 95 95544 two pairs 144 0.57% 1 : 173 88.93%
30 85 85544 two pairs 144 0.57% 1 : 173 88.36%
31 75 75544 two pairs 144 0.57% 1 : 173 87.78%
32 65 65544 two pairs 144 0.57% 1 : 173 87.21%
33 53 55443 two pairs 144 0.57% 1 : 173 86.63%
34 52 55442 two pairs 144 0.57% 1 : 173 86.06%
35 33 54433 two pairs 144 0.57% 1 : 173 85.48%
36 22 54422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK544 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ544 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ544 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT544 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9544 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8544 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7544 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A5443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A5442 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ544 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ544 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT544 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9544 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8544 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7544 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6544 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K5443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K5442 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ544 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT544 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9544 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8544 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7544 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6544 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q5443 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q5442 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT544 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9544 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8544 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7544 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6544 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J5443 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J5442 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9544 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8544 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7544 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6544 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T5443 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T5442 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98544 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97544 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96544 one pair 384 1.53% 1 : 64.2 19.93%
80 93 95443 one pair 384 1.53% 1 : 64.2 18.40%
81 92 95442 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87544 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86544 one pair 384 1.53% 1 : 64.2 13.80%
84 83 85443 one pair 384 1.53% 1 : 64.2 12.27%
85 82 85442 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76544 one pair 384 1.53% 1 : 64.2 9.20%
87 73 75443 one pair 384 1.53% 1 : 64.2 7.67%
88 72 75442 one pair 384 1.53% 1 : 64.2 6.13%
89 63 65443 one pair 384 1.53% 1 : 64.2 4.60%
90 62 65442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 54432 one pair 384 1.53% 1 : 64.2 1.53%