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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 97777 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 99 99977 full house 24 0.10% 1 : 1043 99.98%
3 97 99777 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 A9777 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 K9777 three of a kind 64 0.26% 1 : 390 99.54%
6 Q7 Q9777 three of a kind 64 0.26% 1 : 390 99.28%
7 J7 J9777 three of a kind 64 0.26% 1 : 390 99.03%
8 T7 T9777 three of a kind 64 0.26% 1 : 390 98.77%
9 87 98777 three of a kind 64 0.26% 1 : 390 98.51%
10 76 97776 three of a kind 64 0.26% 1 : 390 98.26%
11 75 97775 three of a kind 64 0.26% 1 : 390 98.00%
12 74 97774 three of a kind 64 0.26% 1 : 390 97.75%
13 73 97773 three of a kind 64 0.26% 1 : 390 97.49%
14 72 97772 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA977 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK977 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ977 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ977 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT977 two pairs 144 0.57% 1 : 173 94.68%
20 A9 A9977 two pairs 144 0.57% 1 : 173 94.11%
21 K9 K9977 two pairs 144 0.57% 1 : 173 93.53%
22 Q9 Q9977 two pairs 144 0.57% 1 : 173 92.96%
23 J9 J9977 two pairs 144 0.57% 1 : 173 92.38%
24 T9 T9977 two pairs 144 0.57% 1 : 173 91.81%
25 98 99877 two pairs 144 0.57% 1 : 173 91.23%
26 96 99776 two pairs 144 0.57% 1 : 173 90.66%
27 95 99775 two pairs 144 0.57% 1 : 173 90.08%
28 94 99774 two pairs 144 0.57% 1 : 173 89.51%
29 93 99773 two pairs 144 0.57% 1 : 173 88.93%
30 92 99772 two pairs 144 0.57% 1 : 173 88.36%
31 88 98877 two pairs 144 0.57% 1 : 173 87.78%
32 66 97766 two pairs 144 0.57% 1 : 173 87.21%
33 55 97755 two pairs 144 0.57% 1 : 173 86.63%
34 44 97744 two pairs 144 0.57% 1 : 173 86.06%
35 33 97733 two pairs 144 0.57% 1 : 173 85.48%
36 22 97722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK977 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ977 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ977 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT977 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9877 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 A9776 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A9775 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A9774 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9773 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9772 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ977 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ977 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT977 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9877 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 K9776 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K9775 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K9774 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9773 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9772 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ977 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT977 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9877 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 Q9776 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q9775 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q9774 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9773 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9772 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT977 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9877 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 J9776 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J9775 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J9774 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9773 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9772 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9877 one pair 384 1.53% 1 : 64.2 32.20%
72 T6 T9776 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T9775 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T9774 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9773 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9772 one pair 384 1.53% 1 : 64.2 24.53%
77 86 98776 one pair 384 1.53% 1 : 64.2 23.00%
78 85 98775 one pair 384 1.53% 1 : 64.2 21.47%
79 84 98774 one pair 384 1.53% 1 : 64.2 19.93%
80 83 98773 one pair 384 1.53% 1 : 64.2 18.40%
81 82 98772 one pair 384 1.53% 1 : 64.2 16.87%
82 65 97765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 97764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 97763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 97762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 97754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 97753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 97752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 97743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 97742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 97732 one pair 384 1.53% 1 : 64.2 1.53%