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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 66 T6666 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 TT TTT66 full house 24 0.10% 1 : 1043 99.98%
3 T6 TT666 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 AT666 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 KT666 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 QT666 three of a kind 64 0.26% 1 : 390 99.28%
7 J6 JT666 three of a kind 64 0.26% 1 : 390 99.03%
8 96 T9666 three of a kind 64 0.26% 1 : 390 98.77%
9 86 T8666 three of a kind 64 0.26% 1 : 390 98.51%
10 76 T7666 three of a kind 64 0.26% 1 : 390 98.26%
11 65 T6665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 T6664 three of a kind 64 0.26% 1 : 390 97.75%
13 63 T6663 three of a kind 64 0.26% 1 : 390 97.49%
14 62 T6662 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAT66 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKT66 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQT66 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJT66 two pairs 144 0.57% 1 : 173 95.26%
19 AT ATT66 two pairs 144 0.57% 1 : 173 94.68%
20 KT KTT66 two pairs 144 0.57% 1 : 173 94.11%
21 QT QTT66 two pairs 144 0.57% 1 : 173 93.53%
22 JT JTT66 two pairs 144 0.57% 1 : 173 92.96%
23 T9 TT966 two pairs 144 0.57% 1 : 173 92.38%
24 T8 TT866 two pairs 144 0.57% 1 : 173 91.81%
25 T7 TT766 two pairs 144 0.57% 1 : 173 91.23%
26 T5 TT665 two pairs 144 0.57% 1 : 173 90.66%
27 T4 TT664 two pairs 144 0.57% 1 : 173 90.08%
28 T3 TT663 two pairs 144 0.57% 1 : 173 89.51%
29 T2 TT662 two pairs 144 0.57% 1 : 173 88.93%
30 99 T9966 two pairs 144 0.57% 1 : 173 88.36%
31 88 T8866 two pairs 144 0.57% 1 : 173 87.78%
32 77 T7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 T6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 T6644 two pairs 144 0.57% 1 : 173 86.06%
35 33 T6633 two pairs 144 0.57% 1 : 173 85.48%
36 22 T6622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKT66 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQT66 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJT66 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AT966 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AT866 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AT766 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AT665 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AT664 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AT663 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AT662 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQT66 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJT66 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KT966 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KT866 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KT766 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KT665 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KT664 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KT663 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KT662 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJT66 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QT966 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QT866 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QT766 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QT665 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QT664 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QT663 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QT662 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JT966 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JT866 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JT766 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 JT665 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JT664 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JT663 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JT662 one pair 384 1.53% 1 : 64.2 33.73%
71 98 T9866 one pair 384 1.53% 1 : 64.2 32.20%
72 97 T9766 one pair 384 1.53% 1 : 64.2 30.67%
73 95 T9665 one pair 384 1.53% 1 : 64.2 29.13%
74 94 T9664 one pair 384 1.53% 1 : 64.2 27.60%
75 93 T9663 one pair 384 1.53% 1 : 64.2 26.07%
76 92 T9662 one pair 384 1.53% 1 : 64.2 24.53%
77 87 T8766 one pair 384 1.53% 1 : 64.2 23.00%
78 85 T8665 one pair 384 1.53% 1 : 64.2 21.47%
79 84 T8664 one pair 384 1.53% 1 : 64.2 19.93%
80 83 T8663 one pair 384 1.53% 1 : 64.2 18.40%
81 82 T8662 one pair 384 1.53% 1 : 64.2 16.87%
82 75 T7665 one pair 384 1.53% 1 : 64.2 15.33%
83 74 T7664 one pair 384 1.53% 1 : 64.2 13.80%
84 73 T7663 one pair 384 1.53% 1 : 64.2 12.27%
85 72 T7662 one pair 384 1.53% 1 : 64.2 10.73%
86 54 T6654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 T6653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 T6652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 T6643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 T6642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 T6632 one pair 384 1.53% 1 : 64.2 1.53%