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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 J7777 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJ77 full house 24 0.10% 1 : 1043 99.98%
3 J7 JJ777 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 AJ777 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 KJ777 three of a kind 64 0.26% 1 : 390 99.54%
6 Q7 QJ777 three of a kind 64 0.26% 1 : 390 99.28%
7 T7 JT777 three of a kind 64 0.26% 1 : 390 99.03%
8 97 J9777 three of a kind 64 0.26% 1 : 390 98.77%
9 87 J8777 three of a kind 64 0.26% 1 : 390 98.51%
10 76 J7776 three of a kind 64 0.26% 1 : 390 98.26%
11 75 J7775 three of a kind 64 0.26% 1 : 390 98.00%
12 74 J7774 three of a kind 64 0.26% 1 : 390 97.75%
13 73 J7773 three of a kind 64 0.26% 1 : 390 97.49%
14 72 J7772 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJ77 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJ77 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJ77 two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJ77 two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJ77 two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJ77 two pairs 144 0.57% 1 : 173 94.11%
21 JT JJT77 two pairs 144 0.57% 1 : 173 93.53%
22 J9 JJ977 two pairs 144 0.57% 1 : 173 92.96%
23 J8 JJ877 two pairs 144 0.57% 1 : 173 92.38%
24 J6 JJ776 two pairs 144 0.57% 1 : 173 91.81%
25 J5 JJ775 two pairs 144 0.57% 1 : 173 91.23%
26 J4 JJ774 two pairs 144 0.57% 1 : 173 90.66%
27 J3 JJ773 two pairs 144 0.57% 1 : 173 90.08%
28 J2 JJ772 two pairs 144 0.57% 1 : 173 89.51%
29 TT JTT77 two pairs 144 0.57% 1 : 173 88.93%
30 99 J9977 two pairs 144 0.57% 1 : 173 88.36%
31 88 J8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 J7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 J7755 two pairs 144 0.57% 1 : 173 86.63%
34 44 J7744 two pairs 144 0.57% 1 : 173 86.06%
35 33 J7733 two pairs 144 0.57% 1 : 173 85.48%
36 22 J7722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJ77 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJ77 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJT77 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJ977 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJ877 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AJ776 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJ775 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJ774 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJ773 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJ772 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJ77 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJT77 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJ977 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJ877 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KJ776 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJ775 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJ774 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJ773 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJ772 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJT77 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJ977 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJ877 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QJ776 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJ775 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJ774 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJ773 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJ772 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JT977 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JT877 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 JT776 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 JT775 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JT774 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JT773 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JT772 one pair 384 1.53% 1 : 64.2 33.73%
71 98 J9877 one pair 384 1.53% 1 : 64.2 32.20%
72 96 J9776 one pair 384 1.53% 1 : 64.2 30.67%
73 95 J9775 one pair 384 1.53% 1 : 64.2 29.13%
74 94 J9774 one pair 384 1.53% 1 : 64.2 27.60%
75 93 J9773 one pair 384 1.53% 1 : 64.2 26.07%
76 92 J9772 one pair 384 1.53% 1 : 64.2 24.53%
77 86 J8776 one pair 384 1.53% 1 : 64.2 23.00%
78 85 J8775 one pair 384 1.53% 1 : 64.2 21.47%
79 84 J8774 one pair 384 1.53% 1 : 64.2 19.93%
80 83 J8773 one pair 384 1.53% 1 : 64.2 18.40%
81 82 J8772 one pair 384 1.53% 1 : 64.2 16.87%
82 65 J7765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 J7764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 J7763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 J7762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 J7754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 J7753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 J7752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 J7743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 J7742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 J7732 one pair 384 1.53% 1 : 64.2 1.53%