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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 AA AAAA6 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 A6 AAA66 full house 24 0.10% 1 : 1043 99.98%
3 66 AA666 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAK6 three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQ6 three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJ6 three of a kind 64 0.26% 1 : 390 99.28%
7 AT AAAT6 three of a kind 64 0.26% 1 : 390 99.03%
8 A9 AAA96 three of a kind 64 0.26% 1 : 390 98.77%
9 A8 AAA86 three of a kind 64 0.26% 1 : 390 98.51%
10 A7 AAA76 three of a kind 64 0.26% 1 : 390 98.26%
11 A5 AAA65 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAA64 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAA63 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAA62 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKK6 two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQ6 two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJ6 two pairs 144 0.57% 1 : 173 95.83%
18 TT AATT6 two pairs 144 0.57% 1 : 173 95.26%
19 99 AA996 two pairs 144 0.57% 1 : 173 94.68%
20 88 AA886 two pairs 144 0.57% 1 : 173 94.11%
21 77 AA776 two pairs 144 0.57% 1 : 173 93.53%
22 K6 AAK66 two pairs 144 0.57% 1 : 173 92.96%
23 Q6 AAQ66 two pairs 144 0.57% 1 : 173 92.38%
24 J6 AAJ66 two pairs 144 0.57% 1 : 173 91.81%
25 T6 AAT66 two pairs 144 0.57% 1 : 173 91.23%
26 96 AA966 two pairs 144 0.57% 1 : 173 90.66%
27 86 AA866 two pairs 144 0.57% 1 : 173 90.08%
28 76 AA766 two pairs 144 0.57% 1 : 173 89.51%
29 65 AA665 two pairs 144 0.57% 1 : 173 88.93%
30 64 AA664 two pairs 144 0.57% 1 : 173 88.36%
31 63 AA663 two pairs 144 0.57% 1 : 173 87.78%
32 62 AA662 two pairs 144 0.57% 1 : 173 87.21%
33 55 AA655 two pairs 144 0.57% 1 : 173 86.63%
34 44 AA644 two pairs 144 0.57% 1 : 173 86.06%
35 33 AA633 two pairs 144 0.57% 1 : 173 85.48%
36 22 AA622 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQ6 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJ6 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AAKT6 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AAK96 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AAK86 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AAK76 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AAK65 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AAK64 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAK63 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAK62 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJ6 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AAQT6 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AAQ96 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AAQ86 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AAQ76 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AAQ65 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AAQ64 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AAQ63 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQ62 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AAJT6 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AAJ96 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AAJ86 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AAJ76 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AAJ65 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AAJ64 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AAJ63 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AAJ62 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AAT96 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AAT86 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AAT76 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 AAT65 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AAT64 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AAT63 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AAT62 one pair 384 1.53% 1 : 64.2 33.73%
71 98 AA986 one pair 384 1.53% 1 : 64.2 32.20%
72 97 AA976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 AA965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 AA964 one pair 384 1.53% 1 : 64.2 27.60%
75 93 AA963 one pair 384 1.53% 1 : 64.2 26.07%
76 92 AA962 one pair 384 1.53% 1 : 64.2 24.53%
77 87 AA876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 AA865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 AA864 one pair 384 1.53% 1 : 64.2 19.93%
80 83 AA863 one pair 384 1.53% 1 : 64.2 18.40%
81 82 AA862 one pair 384 1.53% 1 : 64.2 16.87%
82 75 AA765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 AA764 one pair 384 1.53% 1 : 64.2 13.80%
84 73 AA763 one pair 384 1.53% 1 : 64.2 12.27%
85 72 AA762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AA654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AA653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AA652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AA643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AA642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AA632 one pair 384 1.53% 1 : 64.2 1.53%