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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 77772 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 72 77722 full house 24 0.10% 1 : 1043 99.98%
3 22 77222 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 A7772 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 K7772 three of a kind 64 0.26% 1 : 390 99.54%
6 Q7 Q7772 three of a kind 64 0.26% 1 : 390 99.28%
7 J7 J7772 three of a kind 64 0.26% 1 : 390 99.03%
8 T7 T7772 three of a kind 64 0.26% 1 : 390 98.77%
9 97 97772 three of a kind 64 0.26% 1 : 390 98.51%
10 87 87772 three of a kind 64 0.26% 1 : 390 98.26%
11 76 77762 three of a kind 64 0.26% 1 : 390 98.00%
12 75 77752 three of a kind 64 0.26% 1 : 390 97.75%
13 74 77742 three of a kind 64 0.26% 1 : 390 97.49%
14 73 77732 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA772 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK772 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ772 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ772 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT772 two pairs 144 0.57% 1 : 173 94.68%
20 99 99772 two pairs 144 0.57% 1 : 173 94.11%
21 88 88772 two pairs 144 0.57% 1 : 173 93.53%
22 66 77662 two pairs 144 0.57% 1 : 173 92.96%
23 55 77552 two pairs 144 0.57% 1 : 173 92.38%
24 44 77442 two pairs 144 0.57% 1 : 173 91.81%
25 33 77332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 A7722 two pairs 144 0.57% 1 : 173 90.66%
27 K2 K7722 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 Q7722 two pairs 144 0.57% 1 : 173 89.51%
29 J2 J7722 two pairs 144 0.57% 1 : 173 88.93%
30 T2 T7722 two pairs 144 0.57% 1 : 173 88.36%
31 92 97722 two pairs 144 0.57% 1 : 173 87.78%
32 82 87722 two pairs 144 0.57% 1 : 173 87.21%
33 62 77622 two pairs 144 0.57% 1 : 173 86.63%
34 52 77522 two pairs 144 0.57% 1 : 173 86.06%
35 42 77422 two pairs 144 0.57% 1 : 173 85.48%
36 32 77322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK772 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ772 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ772 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT772 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9772 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8772 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A7762 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A7752 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A7742 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A7732 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ772 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ772 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT772 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9772 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8772 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K7762 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K7752 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K7742 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K7732 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ772 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT772 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9772 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8772 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q7762 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q7752 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q7742 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q7732 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT772 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9772 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8772 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J7762 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J7752 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J7742 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J7732 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9772 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8772 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T7762 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T7752 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T7742 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T7732 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98772 one pair 384 1.53% 1 : 64.2 23.00%
78 96 97762 one pair 384 1.53% 1 : 64.2 21.47%
79 95 97752 one pair 384 1.53% 1 : 64.2 19.93%
80 94 97742 one pair 384 1.53% 1 : 64.2 18.40%
81 93 97732 one pair 384 1.53% 1 : 64.2 16.87%
82 86 87762 one pair 384 1.53% 1 : 64.2 15.33%
83 85 87752 one pair 384 1.53% 1 : 64.2 13.80%
84 84 87742 one pair 384 1.53% 1 : 64.2 12.27%
85 83 87732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 77652 one pair 384 1.53% 1 : 64.2 9.20%
87 64 77642 one pair 384 1.53% 1 : 64.2 7.67%
88 63 77632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 77542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 77532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 77432 one pair 384 1.53% 1 : 64.2 1.53%