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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 87777 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 88 88877 full house 24 0.10% 1 : 1043 99.98%
3 87 88777 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 A8777 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 K8777 three of a kind 64 0.26% 1 : 390 99.54%
6 Q7 Q8777 three of a kind 64 0.26% 1 : 390 99.28%
7 J7 J8777 three of a kind 64 0.26% 1 : 390 99.03%
8 T7 T8777 three of a kind 64 0.26% 1 : 390 98.77%
9 97 98777 three of a kind 64 0.26% 1 : 390 98.51%
10 76 87776 three of a kind 64 0.26% 1 : 390 98.26%
11 75 87775 three of a kind 64 0.26% 1 : 390 98.00%
12 74 87774 three of a kind 64 0.26% 1 : 390 97.75%
13 73 87773 three of a kind 64 0.26% 1 : 390 97.49%
14 72 87772 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA877 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK877 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ877 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ877 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT877 two pairs 144 0.57% 1 : 173 94.68%
20 99 99877 two pairs 144 0.57% 1 : 173 94.11%
21 A8 A8877 two pairs 144 0.57% 1 : 173 93.53%
22 K8 K8877 two pairs 144 0.57% 1 : 173 92.96%
23 Q8 Q8877 two pairs 144 0.57% 1 : 173 92.38%
24 J8 J8877 two pairs 144 0.57% 1 : 173 91.81%
25 T8 T8877 two pairs 144 0.57% 1 : 173 91.23%
26 98 98877 two pairs 144 0.57% 1 : 173 90.66%
27 86 88776 two pairs 144 0.57% 1 : 173 90.08%
28 85 88775 two pairs 144 0.57% 1 : 173 89.51%
29 84 88774 two pairs 144 0.57% 1 : 173 88.93%
30 83 88773 two pairs 144 0.57% 1 : 173 88.36%
31 82 88772 two pairs 144 0.57% 1 : 173 87.78%
32 66 87766 two pairs 144 0.57% 1 : 173 87.21%
33 55 87755 two pairs 144 0.57% 1 : 173 86.63%
34 44 87744 two pairs 144 0.57% 1 : 173 86.06%
35 33 87733 two pairs 144 0.57% 1 : 173 85.48%
36 22 87722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK877 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ877 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ877 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT877 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9877 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 A8776 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A8775 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A8774 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A8773 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8772 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ877 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ877 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT877 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9877 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 K8776 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K8775 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K8774 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K8773 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8772 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ877 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT877 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9877 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 Q8776 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q8775 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q8774 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q8773 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8772 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT877 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9877 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 J8776 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J8775 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J8774 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J8773 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8772 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9877 one pair 384 1.53% 1 : 64.2 32.20%
72 T6 T8776 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T8775 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T8774 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T8773 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8772 one pair 384 1.53% 1 : 64.2 24.53%
77 96 98776 one pair 384 1.53% 1 : 64.2 23.00%
78 95 98775 one pair 384 1.53% 1 : 64.2 21.47%
79 94 98774 one pair 384 1.53% 1 : 64.2 19.93%
80 93 98773 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98772 one pair 384 1.53% 1 : 64.2 16.87%
82 65 87765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 87764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 87763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 87762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 87754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 87753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 87752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 87743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 87742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 87732 one pair 384 1.53% 1 : 64.2 1.53%