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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 TT TTTT8 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 T8 TTT88 full house 24 0.10% 1 : 1043 99.98%
3 88 TT888 full house 24 0.10% 1 : 1043 99.89%
 
4 AT ATTT8 three of a kind 64 0.26% 1 : 390 99.79%
5 KT KTTT8 three of a kind 64 0.26% 1 : 390 99.54%
6 QT QTTT8 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JTTT8 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 TTT98 three of a kind 64 0.26% 1 : 390 98.77%
9 T7 TTT87 three of a kind 64 0.26% 1 : 390 98.51%
10 T6 TTT86 three of a kind 64 0.26% 1 : 390 98.26%
11 T5 TTT85 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 TTT84 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 TTT83 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 TTT82 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AATT8 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKTT8 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQTT8 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJTT8 two pairs 144 0.57% 1 : 173 95.26%
19 99 TT998 two pairs 144 0.57% 1 : 173 94.68%
20 A8 ATT88 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KTT88 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 QTT88 two pairs 144 0.57% 1 : 173 92.96%
23 J8 JTT88 two pairs 144 0.57% 1 : 173 92.38%
24 98 TT988 two pairs 144 0.57% 1 : 173 91.81%
25 87 TT887 two pairs 144 0.57% 1 : 173 91.23%
26 86 TT886 two pairs 144 0.57% 1 : 173 90.66%
27 85 TT885 two pairs 144 0.57% 1 : 173 90.08%
28 84 TT884 two pairs 144 0.57% 1 : 173 89.51%
29 83 TT883 two pairs 144 0.57% 1 : 173 88.93%
30 82 TT882 two pairs 144 0.57% 1 : 173 88.36%
31 77 TT877 two pairs 144 0.57% 1 : 173 87.78%
32 66 TT866 two pairs 144 0.57% 1 : 173 87.21%
33 55 TT855 two pairs 144 0.57% 1 : 173 86.63%
34 44 TT844 two pairs 144 0.57% 1 : 173 86.06%
35 33 TT833 two pairs 144 0.57% 1 : 173 85.48%
36 22 TT822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKTT8 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQTT8 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJTT8 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 ATT98 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 ATT87 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 ATT86 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 ATT85 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 ATT84 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 ATT83 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 ATT82 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQTT8 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJTT8 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KTT98 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KTT87 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KTT86 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KTT85 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KTT84 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KTT83 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KTT82 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJTT8 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QTT98 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QTT87 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QTT86 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QTT85 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QTT84 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QTT83 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QTT82 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JTT98 one pair 384 1.53% 1 : 64.2 42.93%
65 J7 JTT87 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 JTT86 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 JTT85 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JTT84 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JTT83 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JTT82 one pair 384 1.53% 1 : 64.2 33.73%
71 97 TT987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 TT986 one pair 384 1.53% 1 : 64.2 30.67%
73 95 TT985 one pair 384 1.53% 1 : 64.2 29.13%
74 94 TT984 one pair 384 1.53% 1 : 64.2 27.60%
75 93 TT983 one pair 384 1.53% 1 : 64.2 26.07%
76 92 TT982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 TT876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 TT875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 TT874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 TT873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 TT872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 TT865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 TT864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 TT863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 TT862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 TT854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 TT853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 TT852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 TT843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 TT842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 TT832 one pair 384 1.53% 1 : 64.2 1.53%