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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 JJ JJJJ9 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 J9 JJJ99 full house 24 0.10% 1 : 1043 99.98%
3 99 JJ999 full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJ9 three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJ9 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJ9 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JJJT9 three of a kind 64 0.26% 1 : 390 99.03%
8 J8 JJJ98 three of a kind 64 0.26% 1 : 390 98.77%
9 J7 JJJ97 three of a kind 64 0.26% 1 : 390 98.51%
10 J6 JJJ96 three of a kind 64 0.26% 1 : 390 98.26%
11 J5 JJJ95 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 JJJ94 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 JJJ93 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 JJJ92 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJ9 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJ9 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJ9 two pairs 144 0.57% 1 : 173 95.83%
18 TT JJTT9 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AJJ99 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KJJ99 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QJJ99 two pairs 144 0.57% 1 : 173 93.53%
22 T9 JJT99 two pairs 144 0.57% 1 : 173 92.96%
23 98 JJ998 two pairs 144 0.57% 1 : 173 92.38%
24 97 JJ997 two pairs 144 0.57% 1 : 173 91.81%
25 96 JJ996 two pairs 144 0.57% 1 : 173 91.23%
26 95 JJ995 two pairs 144 0.57% 1 : 173 90.66%
27 94 JJ994 two pairs 144 0.57% 1 : 173 90.08%
28 93 JJ993 two pairs 144 0.57% 1 : 173 89.51%
29 92 JJ992 two pairs 144 0.57% 1 : 173 88.93%
30 88 JJ988 two pairs 144 0.57% 1 : 173 88.36%
31 77 JJ977 two pairs 144 0.57% 1 : 173 87.78%
32 66 JJ966 two pairs 144 0.57% 1 : 173 87.21%
33 55 JJ955 two pairs 144 0.57% 1 : 173 86.63%
34 44 JJ944 two pairs 144 0.57% 1 : 173 86.06%
35 33 JJ933 two pairs 144 0.57% 1 : 173 85.48%
36 22 JJ922 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJ9 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJ9 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJJT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AJJ98 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AJJ97 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AJJ96 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJJ95 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJJ94 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJJ93 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJJ92 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJ9 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJJT9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KJJ98 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KJJ97 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KJJ96 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJJ95 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJJ94 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJJ93 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJJ92 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 Q8 QJJ98 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QJJ97 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QJJ96 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJJ95 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJJ94 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJJ93 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJJ92 one pair 384 1.53% 1 : 64.2 44.47%
64 T8 JJT98 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 JJT97 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 JJT96 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 JJT95 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JJT94 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JJT93 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JJT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 JJ987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 JJ986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 JJ985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 JJ984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 JJ983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 JJ982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 JJ976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 JJ975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 JJ974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 JJ973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 JJ972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 JJ965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 JJ964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 JJ963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 JJ962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 JJ954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 JJ953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 JJ952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 JJ943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 JJ942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 JJ932 one pair 384 1.53% 1 : 64.2 1.53%