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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 99 K9999 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKK99 full house 24 0.10% 1 : 1043 99.98%
3 K9 KK999 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 AK999 three of a kind 64 0.26% 1 : 390 99.79%
5 Q9 KQ999 three of a kind 64 0.26% 1 : 390 99.54%
6 J9 KJ999 three of a kind 64 0.26% 1 : 390 99.28%
7 T9 KT999 three of a kind 64 0.26% 1 : 390 99.03%
8 98 K9998 three of a kind 64 0.26% 1 : 390 98.77%
9 97 K9997 three of a kind 64 0.26% 1 : 390 98.51%
10 96 K9996 three of a kind 64 0.26% 1 : 390 98.26%
11 95 K9995 three of a kind 64 0.26% 1 : 390 98.00%
12 94 K9994 three of a kind 64 0.26% 1 : 390 97.75%
13 93 K9993 three of a kind 64 0.26% 1 : 390 97.49%
14 92 K9992 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAK99 two pairs 144 0.57% 1 : 173 96.98%
16 AK AKK99 two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQ99 two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJ99 two pairs 144 0.57% 1 : 173 95.26%
19 KT KKT99 two pairs 144 0.57% 1 : 173 94.68%
20 K8 KK998 two pairs 144 0.57% 1 : 173 94.11%
21 K7 KK997 two pairs 144 0.57% 1 : 173 93.53%
22 K6 KK996 two pairs 144 0.57% 1 : 173 92.96%
23 K5 KK995 two pairs 144 0.57% 1 : 173 92.38%
24 K4 KK994 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KK993 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KK992 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQ99 two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJ99 two pairs 144 0.57% 1 : 173 89.51%
29 TT KTT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 K9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 K9977 two pairs 144 0.57% 1 : 173 87.78%
32 66 K9966 two pairs 144 0.57% 1 : 173 87.21%
33 55 K9955 two pairs 144 0.57% 1 : 173 86.63%
34 44 K9944 two pairs 144 0.57% 1 : 173 86.06%
35 33 K9933 two pairs 144 0.57% 1 : 173 85.48%
36 22 K9922 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQ99 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJ99 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKT99 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AK998 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AK997 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AK996 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AK995 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AK994 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AK993 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AK992 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJ99 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KQT99 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 KQ998 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 KQ997 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KQ996 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KQ995 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KQ994 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KQ993 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQ992 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KJT99 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 KJ998 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 KJ997 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 KJ996 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KJ995 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KJ994 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KJ993 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KJ992 one pair 384 1.53% 1 : 64.2 44.47%
64 T8 KT998 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 KT997 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 KT996 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 KT995 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KT994 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KT993 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KT992 one pair 384 1.53% 1 : 64.2 33.73%
71 87 K9987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 K9986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 K9985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 K9984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 K9983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 K9982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 K9976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 K9975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 K9974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 K9973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 K9972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 K9965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 K9964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 K9963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 K9962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 K9954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 K9953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 K9952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 K9943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 K9942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 K9932 one pair 384 1.53% 1 : 64.2 1.53%