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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 AT ATTTT four of a kind 4 0.09% 1 : 1139 100.00%
2 KT KTTTT four of a kind 4 0.09% 1 : 1139 99.91%
3 QT QTTTT four of a kind 4 0.09% 1 : 1139 99.82%
4 JT JTTTT four of a kind 4 0.09% 1 : 1139 99.74%
5 T9 TTTT9 four of a kind 4 0.09% 1 : 1139 99.65%
6 T8 TTTT8 four of a kind 4 0.09% 1 : 1139 99.56%
7 T7 TTTT7 four of a kind 4 0.09% 1 : 1139 99.47%
8 T6 TTTT6 four of a kind 4 0.09% 1 : 1139 99.39%
9 T5 TTTT5 four of a kind 4 0.09% 1 : 1139 99.30%
10 T4 TTTT4 four of a kind 4 0.09% 1 : 1139 99.21%
11 T3 TTTT3 four of a kind 4 0.09% 1 : 1139 99.12%
12 T2 TTTT2 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AATTT full house 24 0.53% 1 : 189 98.95%
14 KK KKTTT full house 24 0.53% 1 : 189 98.42%
15 QQ QQTTT full house 24 0.53% 1 : 189 97.89%
16 JJ JJTTT full house 24 0.53% 1 : 189 97.37%
17 99 TTT99 full house 24 0.53% 1 : 189 96.84%
18 88 TTT88 full house 24 0.53% 1 : 189 96.32%
19 77 TTT77 full house 24 0.53% 1 : 189 95.79%
20 66 TTT66 full house 24 0.53% 1 : 189 95.26%
21 55 TTT55 full house 24 0.53% 1 : 189 94.74%
22 44 TTT44 full house 24 0.53% 1 : 189 94.21%
23 33 TTT33 full house 24 0.53% 1 : 189 93.68%
24 22 TTT22 full house 24 0.53% 1 : 189 93.16%
 
25 AK AKTTT three of a kind 64 1.40% 1 : 70.3 92.63%
26 AQ AQTTT three of a kind 64 1.40% 1 : 70.3 91.23%
27 AJ AJTTT three of a kind 64 1.40% 1 : 70.3 89.82%
28 A9 ATTT9 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A8 ATTT8 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A7 ATTT7 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A6 ATTT6 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A5 ATTT5 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 ATTT4 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 ATTT3 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 ATTT2 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KQ KQTTT three of a kind 64 1.40% 1 : 70.3 77.19%
37 KJ KJTTT three of a kind 64 1.40% 1 : 70.3 75.79%
38 K9 KTTT9 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K8 KTTT8 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K7 KTTT7 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K6 KTTT6 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K5 KTTT5 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K4 KTTT4 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 KTTT3 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 KTTT2 three of a kind 64 1.40% 1 : 70.3 64.56%
46 QJ QJTTT three of a kind 64 1.40% 1 : 70.3 63.16%
47 Q9 QTTT9 three of a kind 64 1.40% 1 : 70.3 61.75%
48 Q8 QTTT8 three of a kind 64 1.40% 1 : 70.3 60.35%
49 Q7 QTTT7 three of a kind 64 1.40% 1 : 70.3 58.95%
50 Q6 QTTT6 three of a kind 64 1.40% 1 : 70.3 57.54%
51 Q5 QTTT5 three of a kind 64 1.40% 1 : 70.3 56.14%
52 Q4 QTTT4 three of a kind 64 1.40% 1 : 70.3 54.74%
53 Q3 QTTT3 three of a kind 64 1.40% 1 : 70.3 53.33%
54 Q2 QTTT2 three of a kind 64 1.40% 1 : 70.3 51.93%
55 J9 JTTT9 three of a kind 64 1.40% 1 : 70.3 50.53%
56 J8 JTTT8 three of a kind 64 1.40% 1 : 70.3 49.12%
57 J7 JTTT7 three of a kind 64 1.40% 1 : 70.3 47.72%
58 J6 JTTT6 three of a kind 64 1.40% 1 : 70.3 46.32%
59 J5 JTTT5 three of a kind 64 1.40% 1 : 70.3 44.91%
60 J4 JTTT4 three of a kind 64 1.40% 1 : 70.3 43.51%
61 J3 JTTT3 three of a kind 64 1.40% 1 : 70.3 42.11%
62 J2 JTTT2 three of a kind 64 1.40% 1 : 70.3 40.70%
63 98 TTT98 three of a kind 64 1.40% 1 : 70.3 39.30%
64 97 TTT97 three of a kind 64 1.40% 1 : 70.3 37.89%
65 96 TTT96 three of a kind 64 1.40% 1 : 70.3 36.49%
66 95 TTT95 three of a kind 64 1.40% 1 : 70.3 35.09%
67 94 TTT94 three of a kind 64 1.40% 1 : 70.3 33.68%
68 93 TTT93 three of a kind 64 1.40% 1 : 70.3 32.28%
69 92 TTT92 three of a kind 64 1.40% 1 : 70.3 30.88%
70 87 TTT87 three of a kind 64 1.40% 1 : 70.3 29.47%
71 86 TTT86 three of a kind 64 1.40% 1 : 70.3 28.07%
72 85 TTT85 three of a kind 64 1.40% 1 : 70.3 26.67%
73 84 TTT84 three of a kind 64 1.40% 1 : 70.3 25.26%
74 83 TTT83 three of a kind 64 1.40% 1 : 70.3 23.86%
75 82 TTT82 three of a kind 64 1.40% 1 : 70.3 22.46%
76 76 TTT76 three of a kind 64 1.40% 1 : 70.3 21.05%
77 75 TTT75 three of a kind 64 1.40% 1 : 70.3 19.65%
78 74 TTT74 three of a kind 64 1.40% 1 : 70.3 18.25%
79 73 TTT73 three of a kind 64 1.40% 1 : 70.3 16.84%
80 72 TTT72 three of a kind 64 1.40% 1 : 70.3 15.44%
81 65 TTT65 three of a kind 64 1.40% 1 : 70.3 14.04%
82 64 TTT64 three of a kind 64 1.40% 1 : 70.3 12.63%
83 63 TTT63 three of a kind 64 1.40% 1 : 70.3 11.23%
84 62 TTT62 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 TTT54 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 TTT53 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 TTT52 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 TTT43 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 TTT42 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 TTT32 three of a kind 64 1.40% 1 : 70.3 1.40%