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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 K7777 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKK77 full house 24 0.10% 1 : 1043 99.98%
3 K7 KK777 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 AK777 three of a kind 64 0.26% 1 : 390 99.79%
5 Q7 KQ777 three of a kind 64 0.26% 1 : 390 99.54%
6 J7 KJ777 three of a kind 64 0.26% 1 : 390 99.28%
7 T7 KT777 three of a kind 64 0.26% 1 : 390 99.03%
8 97 K9777 three of a kind 64 0.26% 1 : 390 98.77%
9 87 K8777 three of a kind 64 0.26% 1 : 390 98.51%
10 76 K7776 three of a kind 64 0.26% 1 : 390 98.26%
11 75 K7775 three of a kind 64 0.26% 1 : 390 98.00%
12 74 K7774 three of a kind 64 0.26% 1 : 390 97.75%
13 73 K7773 three of a kind 64 0.26% 1 : 390 97.49%
14 72 K7772 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAK77 two pairs 144 0.57% 1 : 173 96.98%
16 AK AKK77 two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQ77 two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJ77 two pairs 144 0.57% 1 : 173 95.26%
19 KT KKT77 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KK977 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KK877 two pairs 144 0.57% 1 : 173 93.53%
22 K6 KK776 two pairs 144 0.57% 1 : 173 92.96%
23 K5 KK775 two pairs 144 0.57% 1 : 173 92.38%
24 K4 KK774 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KK773 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KK772 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQ77 two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJ77 two pairs 144 0.57% 1 : 173 89.51%
29 TT KTT77 two pairs 144 0.57% 1 : 173 88.93%
30 99 K9977 two pairs 144 0.57% 1 : 173 88.36%
31 88 K8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 K7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 K7755 two pairs 144 0.57% 1 : 173 86.63%
34 44 K7744 two pairs 144 0.57% 1 : 173 86.06%
35 33 K7733 two pairs 144 0.57% 1 : 173 85.48%
36 22 K7722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQ77 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJ77 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKT77 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AK977 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AK877 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AK776 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AK775 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AK774 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AK773 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AK772 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJ77 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KQT77 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KQ977 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KQ877 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KQ776 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KQ775 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KQ774 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KQ773 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQ772 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KJT77 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KJ977 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KJ877 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 KJ776 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KJ775 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KJ774 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KJ773 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KJ772 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KT977 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KT877 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 KT776 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 KT775 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KT774 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KT773 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KT772 one pair 384 1.53% 1 : 64.2 33.73%
71 98 K9877 one pair 384 1.53% 1 : 64.2 32.20%
72 96 K9776 one pair 384 1.53% 1 : 64.2 30.67%
73 95 K9775 one pair 384 1.53% 1 : 64.2 29.13%
74 94 K9774 one pair 384 1.53% 1 : 64.2 27.60%
75 93 K9773 one pair 384 1.53% 1 : 64.2 26.07%
76 92 K9772 one pair 384 1.53% 1 : 64.2 24.53%
77 86 K8776 one pair 384 1.53% 1 : 64.2 23.00%
78 85 K8775 one pair 384 1.53% 1 : 64.2 21.47%
79 84 K8774 one pair 384 1.53% 1 : 64.2 19.93%
80 83 K8773 one pair 384 1.53% 1 : 64.2 18.40%
81 82 K8772 one pair 384 1.53% 1 : 64.2 16.87%
82 65 K7765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 K7764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 K7763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 K7762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 K7754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 K7753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 K7752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 K7743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 K7742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 K7732 one pair 384 1.53% 1 : 64.2 1.53%