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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 77 77776 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 76 77766 full house 24 0.10% 1 : 1043 99.98%
3 66 77666 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 A7776 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 K7776 three of a kind 64 0.26% 1 : 390 99.54%
6 Q7 Q7776 three of a kind 64 0.26% 1 : 390 99.28%
7 J7 J7776 three of a kind 64 0.26% 1 : 390 99.03%
8 T7 T7776 three of a kind 64 0.26% 1 : 390 98.77%
9 97 97776 three of a kind 64 0.26% 1 : 390 98.51%
10 87 87776 three of a kind 64 0.26% 1 : 390 98.26%
11 75 77765 three of a kind 64 0.26% 1 : 390 98.00%
12 74 77764 three of a kind 64 0.26% 1 : 390 97.75%
13 73 77763 three of a kind 64 0.26% 1 : 390 97.49%
14 72 77762 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA776 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK776 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ776 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ776 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT776 two pairs 144 0.57% 1 : 173 94.68%
20 99 99776 two pairs 144 0.57% 1 : 173 94.11%
21 88 88776 two pairs 144 0.57% 1 : 173 93.53%
22 A6 A7766 two pairs 144 0.57% 1 : 173 92.96%
23 K6 K7766 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 Q7766 two pairs 144 0.57% 1 : 173 91.81%
25 J6 J7766 two pairs 144 0.57% 1 : 173 91.23%
26 T6 T7766 two pairs 144 0.57% 1 : 173 90.66%
27 96 97766 two pairs 144 0.57% 1 : 173 90.08%
28 86 87766 two pairs 144 0.57% 1 : 173 89.51%
29 65 77665 two pairs 144 0.57% 1 : 173 88.93%
30 64 77664 two pairs 144 0.57% 1 : 173 88.36%
31 63 77663 two pairs 144 0.57% 1 : 173 87.78%
32 62 77662 two pairs 144 0.57% 1 : 173 87.21%
33 55 77655 two pairs 144 0.57% 1 : 173 86.63%
34 44 77644 two pairs 144 0.57% 1 : 173 86.06%
35 33 77633 two pairs 144 0.57% 1 : 173 85.48%
36 22 77622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK776 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ776 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ776 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT776 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9776 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8776 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A7765 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A7764 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A7763 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A7762 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ776 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ776 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT776 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9776 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8776 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K7765 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K7764 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K7763 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K7762 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ776 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT776 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9776 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8776 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q7765 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q7764 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q7763 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q7762 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT776 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9776 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8776 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J7765 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J7764 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J7763 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J7762 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9776 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8776 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T7765 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T7764 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T7763 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T7762 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98776 one pair 384 1.53% 1 : 64.2 23.00%
78 95 97765 one pair 384 1.53% 1 : 64.2 21.47%
79 94 97764 one pair 384 1.53% 1 : 64.2 19.93%
80 93 97763 one pair 384 1.53% 1 : 64.2 18.40%
81 92 97762 one pair 384 1.53% 1 : 64.2 16.87%
82 85 87765 one pair 384 1.53% 1 : 64.2 15.33%
83 84 87764 one pair 384 1.53% 1 : 64.2 13.80%
84 83 87763 one pair 384 1.53% 1 : 64.2 12.27%
85 82 87762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 77654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 77653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 77652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 77643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 77642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 77632 one pair 384 1.53% 1 : 64.2 1.53%