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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 12 48 1.05% 1 : 94.0
full house 12 288 6.32% 1 : 14.8
flush 0 0 impossible impossible
straight 0 0 impossible impossible
three of a kind 66 4,224 92.63% 12.6 : 1
two pairs 0 0 impossible impossible
one pair 0 0 impossible impossible
high card 0 0 impossible impossible
total 90 4,560 100 %



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 90 distinct hole cards
hole cards hand category combinations probability odds equity
nuts A9 A9999 four of a kind 4 0.09% 1 : 1139 100.00%
2 K9 K9999 four of a kind 4 0.09% 1 : 1139 99.91%
3 Q9 Q9999 four of a kind 4 0.09% 1 : 1139 99.82%
4 J9 J9999 four of a kind 4 0.09% 1 : 1139 99.74%
5 T9 T9999 four of a kind 4 0.09% 1 : 1139 99.65%
6 98 99998 four of a kind 4 0.09% 1 : 1139 99.56%
7 97 99997 four of a kind 4 0.09% 1 : 1139 99.47%
8 96 99996 four of a kind 4 0.09% 1 : 1139 99.39%
9 95 99995 four of a kind 4 0.09% 1 : 1139 99.30%
10 94 99994 four of a kind 4 0.09% 1 : 1139 99.21%
11 93 99993 four of a kind 4 0.09% 1 : 1139 99.12%
12 92 99992 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AA999 full house 24 0.53% 1 : 189 98.95%
14 KK KK999 full house 24 0.53% 1 : 189 98.42%
15 QQ QQ999 full house 24 0.53% 1 : 189 97.89%
16 JJ JJ999 full house 24 0.53% 1 : 189 97.37%
17 TT TT999 full house 24 0.53% 1 : 189 96.84%
18 88 99988 full house 24 0.53% 1 : 189 96.32%
19 77 99977 full house 24 0.53% 1 : 189 95.79%
20 66 99966 full house 24 0.53% 1 : 189 95.26%
21 55 99955 full house 24 0.53% 1 : 189 94.74%
22 44 99944 full house 24 0.53% 1 : 189 94.21%
23 33 99933 full house 24 0.53% 1 : 189 93.68%
24 22 99922 full house 24 0.53% 1 : 189 93.16%
 
25 AK AK999 three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQ999 three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJ999 three of a kind 64 1.40% 1 : 70.3 89.82%
28 AT AT999 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A8 A9998 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A7 A9997 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A6 A9996 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A5 A9995 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 A9994 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 A9993 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 A9992 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQ999 three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJ999 three of a kind 64 1.40% 1 : 70.3 75.79%
38 KT KT999 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K8 K9998 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K7 K9997 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K6 K9996 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K5 K9995 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K4 K9994 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 K9993 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 K9992 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJ999 three of a kind 64 1.40% 1 : 70.3 63.16%
47 QT QT999 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q8 Q9998 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q7 Q9997 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q6 Q9996 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q5 Q9995 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q4 Q9994 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q3 Q9993 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 Q9992 three of a kind 64 1.40% 1 : 70.3 51.93%
55 JT JT999 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J8 J9998 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J7 J9997 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J6 J9996 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J5 J9995 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J4 J9994 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J3 J9993 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J2 J9992 three of a kind 64 1.40% 1 : 70.3 40.70%
63 T8 T9998 three of a kind 64 1.40% 1 : 70.3 39.30%
64 T7 T9997 three of a kind 64 1.40% 1 : 70.3 37.89%
65 T6 T9996 three of a kind 64 1.40% 1 : 70.3 36.49%
66 T5 T9995 three of a kind 64 1.40% 1 : 70.3 35.09%
67 T4 T9994 three of a kind 64 1.40% 1 : 70.3 33.68%
68 T3 T9993 three of a kind 64 1.40% 1 : 70.3 32.28%
69 T2 T9992 three of a kind 64 1.40% 1 : 70.3 30.88%
70 87 99987 three of a kind 64 1.40% 1 : 70.3 29.47%
71 86 99986 three of a kind 64 1.40% 1 : 70.3 28.07%
72 85 99985 three of a kind 64 1.40% 1 : 70.3 26.67%
73 84 99984 three of a kind 64 1.40% 1 : 70.3 25.26%
74 83 99983 three of a kind 64 1.40% 1 : 70.3 23.86%
75 82 99982 three of a kind 64 1.40% 1 : 70.3 22.46%
76 76 99976 three of a kind 64 1.40% 1 : 70.3 21.05%
77 75 99975 three of a kind 64 1.40% 1 : 70.3 19.65%
78 74 99974 three of a kind 64 1.40% 1 : 70.3 18.25%
79 73 99973 three of a kind 64 1.40% 1 : 70.3 16.84%
80 72 99972 three of a kind 64 1.40% 1 : 70.3 15.44%
81 65 99965 three of a kind 64 1.40% 1 : 70.3 14.04%
82 64 99964 three of a kind 64 1.40% 1 : 70.3 12.63%
83 63 99963 three of a kind 64 1.40% 1 : 70.3 11.23%
84 62 99962 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 99954 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 99953 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 99952 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 99943 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 99942 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 99932 three of a kind 64 1.40% 1 : 70.3 1.40%