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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 KKKK9 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 K9 KKK99 full house 24 0.10% 1 : 1043 99.98%
3 99 KK999 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKK9 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQ9 three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJ9 three of a kind 64 0.26% 1 : 390 99.28%
7 KT KKKT9 three of a kind 64 0.26% 1 : 390 99.03%
8 K8 KKK98 three of a kind 64 0.26% 1 : 390 98.77%
9 K7 KKK97 three of a kind 64 0.26% 1 : 390 98.51%
10 K6 KKK96 three of a kind 64 0.26% 1 : 390 98.26%
11 K5 KKK95 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 KKK94 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKK93 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKK92 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKK9 two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQ9 two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJ9 two pairs 144 0.57% 1 : 173 95.83%
18 TT KKTT9 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AKK99 two pairs 144 0.57% 1 : 173 94.68%
20 Q9 KKQ99 two pairs 144 0.57% 1 : 173 94.11%
21 J9 KKJ99 two pairs 144 0.57% 1 : 173 93.53%
22 T9 KKT99 two pairs 144 0.57% 1 : 173 92.96%
23 98 KK998 two pairs 144 0.57% 1 : 173 92.38%
24 97 KK997 two pairs 144 0.57% 1 : 173 91.81%
25 96 KK996 two pairs 144 0.57% 1 : 173 91.23%
26 95 KK995 two pairs 144 0.57% 1 : 173 90.66%
27 94 KK994 two pairs 144 0.57% 1 : 173 90.08%
28 93 KK993 two pairs 144 0.57% 1 : 173 89.51%
29 92 KK992 two pairs 144 0.57% 1 : 173 88.93%
30 88 KK988 two pairs 144 0.57% 1 : 173 88.36%
31 77 KK977 two pairs 144 0.57% 1 : 173 87.78%
32 66 KK966 two pairs 144 0.57% 1 : 173 87.21%
33 55 KK955 two pairs 144 0.57% 1 : 173 86.63%
34 44 KK944 two pairs 144 0.57% 1 : 173 86.06%
35 33 KK933 two pairs 144 0.57% 1 : 173 85.48%
36 22 KK922 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQ9 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJ9 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKKT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AKK98 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AKK97 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKK96 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKK95 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKK94 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKK93 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKK92 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJ9 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KKQT9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 KKQ98 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 KKQ97 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KKQ96 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KKQ95 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KKQ94 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KKQ93 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQ92 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KKJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 KKJ98 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 KKJ97 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 KKJ96 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KKJ95 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KKJ94 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KKJ93 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KKJ92 one pair 384 1.53% 1 : 64.2 44.47%
64 T8 KKT98 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 KKT97 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 KKT96 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 KKT95 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KKT94 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KKT93 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KKT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 KK987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 KK986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 KK985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 KK984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 KK983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 KK982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 KK976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 KK975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 KK974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 KK973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 KK972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KK965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KK964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KK963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KK962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KK954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KK953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KK952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KK943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KK942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KK932 one pair 384 1.53% 1 : 64.2 1.53%