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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 KK KKKK4 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 K4 KKK44 full house 24 0.10% 1 : 1043 99.98%
3 44 KK444 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKK4 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQ4 three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJ4 three of a kind 64 0.26% 1 : 390 99.28%
7 KT KKKT4 three of a kind 64 0.26% 1 : 390 99.03%
8 K9 KKK94 three of a kind 64 0.26% 1 : 390 98.77%
9 K8 KKK84 three of a kind 64 0.26% 1 : 390 98.51%
10 K7 KKK74 three of a kind 64 0.26% 1 : 390 98.26%
11 K6 KKK64 three of a kind 64 0.26% 1 : 390 98.00%
12 K5 KKK54 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKK43 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKK42 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKK4 two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQ4 two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJ4 two pairs 144 0.57% 1 : 173 95.83%
18 TT KKTT4 two pairs 144 0.57% 1 : 173 95.26%
19 99 KK994 two pairs 144 0.57% 1 : 173 94.68%
20 88 KK884 two pairs 144 0.57% 1 : 173 94.11%
21 77 KK774 two pairs 144 0.57% 1 : 173 93.53%
22 66 KK664 two pairs 144 0.57% 1 : 173 92.96%
23 55 KK554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 AKK44 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 KKQ44 two pairs 144 0.57% 1 : 173 91.23%
26 J4 KKJ44 two pairs 144 0.57% 1 : 173 90.66%
27 T4 KKT44 two pairs 144 0.57% 1 : 173 90.08%
28 94 KK944 two pairs 144 0.57% 1 : 173 89.51%
29 84 KK844 two pairs 144 0.57% 1 : 173 88.93%
30 74 KK744 two pairs 144 0.57% 1 : 173 88.36%
31 64 KK644 two pairs 144 0.57% 1 : 173 87.78%
32 54 KK544 two pairs 144 0.57% 1 : 173 87.21%
33 43 KK443 two pairs 144 0.57% 1 : 173 86.63%
34 42 KK442 two pairs 144 0.57% 1 : 173 86.06%
35 33 KK433 two pairs 144 0.57% 1 : 173 85.48%
36 22 KK422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQ4 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJ4 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKKT4 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AKK94 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AKK84 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AKK74 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AKK64 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AKK54 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKK43 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKK42 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJ4 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KKQT4 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KKQ94 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KKQ84 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KKQ74 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 KKQ64 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 KKQ54 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KKQ43 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQ42 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KKJT4 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KKJ94 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KKJ84 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KKJ74 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 KKJ64 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 KKJ54 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KKJ43 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KKJ42 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KKT94 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KKT84 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KKT74 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 KKT64 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 KKT54 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KKT43 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KKT42 one pair 384 1.53% 1 : 64.2 33.73%
71 98 KK984 one pair 384 1.53% 1 : 64.2 32.20%
72 97 KK974 one pair 384 1.53% 1 : 64.2 30.67%
73 96 KK964 one pair 384 1.53% 1 : 64.2 29.13%
74 95 KK954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 KK943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 KK942 one pair 384 1.53% 1 : 64.2 24.53%
77 87 KK874 one pair 384 1.53% 1 : 64.2 23.00%
78 86 KK864 one pair 384 1.53% 1 : 64.2 21.47%
79 85 KK854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 KK843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 KK842 one pair 384 1.53% 1 : 64.2 16.87%
82 76 KK764 one pair 384 1.53% 1 : 64.2 15.33%
83 75 KK754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 KK743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 KK742 one pair 384 1.53% 1 : 64.2 10.73%
86 65 KK654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 KK643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 KK642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 KK543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 KK542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KK432 one pair 384 1.53% 1 : 64.2 1.53%