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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 Q7777 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQ77 full house 24 0.10% 1 : 1043 99.98%
3 Q7 QQ777 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 AQ777 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 KQ777 three of a kind 64 0.26% 1 : 390 99.54%
6 J7 QJ777 three of a kind 64 0.26% 1 : 390 99.28%
7 T7 QT777 three of a kind 64 0.26% 1 : 390 99.03%
8 97 Q9777 three of a kind 64 0.26% 1 : 390 98.77%
9 87 Q8777 three of a kind 64 0.26% 1 : 390 98.51%
10 76 Q7776 three of a kind 64 0.26% 1 : 390 98.26%
11 75 Q7775 three of a kind 64 0.26% 1 : 390 98.00%
12 74 Q7774 three of a kind 64 0.26% 1 : 390 97.75%
13 73 Q7773 three of a kind 64 0.26% 1 : 390 97.49%
14 72 Q7772 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQ77 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQ77 two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQ77 two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQ77 two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJ77 two pairs 144 0.57% 1 : 173 94.68%
20 QT QQT77 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QQ977 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 QQ877 two pairs 144 0.57% 1 : 173 92.96%
23 Q6 QQ776 two pairs 144 0.57% 1 : 173 92.38%
24 Q5 QQ775 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 QQ774 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 QQ773 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQ772 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJ77 two pairs 144 0.57% 1 : 173 89.51%
29 TT QTT77 two pairs 144 0.57% 1 : 173 88.93%
30 99 Q9977 two pairs 144 0.57% 1 : 173 88.36%
31 88 Q8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 Q7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 Q7755 two pairs 144 0.57% 1 : 173 86.63%
34 44 Q7744 two pairs 144 0.57% 1 : 173 86.06%
35 33 Q7733 two pairs 144 0.57% 1 : 173 85.48%
36 22 Q7722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQ77 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJ77 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQT77 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQ977 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQ877 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQ776 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQ775 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQ774 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQ773 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQ772 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJ77 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQT77 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQ977 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQ877 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQ776 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQ775 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQ774 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQ773 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQ772 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QJT77 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QJ977 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QJ877 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 QJ776 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QJ775 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QJ774 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QJ773 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QJ772 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QT977 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QT877 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 QT776 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 QT775 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QT774 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QT773 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QT772 one pair 384 1.53% 1 : 64.2 33.73%
71 98 Q9877 one pair 384 1.53% 1 : 64.2 32.20%
72 96 Q9776 one pair 384 1.53% 1 : 64.2 30.67%
73 95 Q9775 one pair 384 1.53% 1 : 64.2 29.13%
74 94 Q9774 one pair 384 1.53% 1 : 64.2 27.60%
75 93 Q9773 one pair 384 1.53% 1 : 64.2 26.07%
76 92 Q9772 one pair 384 1.53% 1 : 64.2 24.53%
77 86 Q8776 one pair 384 1.53% 1 : 64.2 23.00%
78 85 Q8775 one pair 384 1.53% 1 : 64.2 21.47%
79 84 Q8774 one pair 384 1.53% 1 : 64.2 19.93%
80 83 Q8773 one pair 384 1.53% 1 : 64.2 18.40%
81 82 Q8772 one pair 384 1.53% 1 : 64.2 16.87%
82 65 Q7765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 Q7764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 Q7763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 Q7762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 Q7754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 Q7753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 Q7752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 Q7743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 Q7742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 Q7732 one pair 384 1.53% 1 : 64.2 1.53%