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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 JJJJ4 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 J4 JJJ44 full house 24 0.10% 1 : 1043 99.98%
3 44 JJ444 full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJ4 three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJ4 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJ4 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JJJT4 three of a kind 64 0.26% 1 : 390 99.03%
8 J9 JJJ94 three of a kind 64 0.26% 1 : 390 98.77%
9 J8 JJJ84 three of a kind 64 0.26% 1 : 390 98.51%
10 J7 JJJ74 three of a kind 64 0.26% 1 : 390 98.26%
11 J6 JJJ64 three of a kind 64 0.26% 1 : 390 98.00%
12 J5 JJJ54 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 JJJ43 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 JJJ42 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJ4 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJ4 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJ4 two pairs 144 0.57% 1 : 173 95.83%
18 TT JJTT4 two pairs 144 0.57% 1 : 173 95.26%
19 99 JJ994 two pairs 144 0.57% 1 : 173 94.68%
20 88 JJ884 two pairs 144 0.57% 1 : 173 94.11%
21 77 JJ774 two pairs 144 0.57% 1 : 173 93.53%
22 66 JJ664 two pairs 144 0.57% 1 : 173 92.96%
23 55 JJ554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 AJJ44 two pairs 144 0.57% 1 : 173 91.81%
25 K4 KJJ44 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 QJJ44 two pairs 144 0.57% 1 : 173 90.66%
27 T4 JJT44 two pairs 144 0.57% 1 : 173 90.08%
28 94 JJ944 two pairs 144 0.57% 1 : 173 89.51%
29 84 JJ844 two pairs 144 0.57% 1 : 173 88.93%
30 74 JJ744 two pairs 144 0.57% 1 : 173 88.36%
31 64 JJ644 two pairs 144 0.57% 1 : 173 87.78%
32 54 JJ544 two pairs 144 0.57% 1 : 173 87.21%
33 43 JJ443 two pairs 144 0.57% 1 : 173 86.63%
34 42 JJ442 two pairs 144 0.57% 1 : 173 86.06%
35 33 JJ433 two pairs 144 0.57% 1 : 173 85.48%
36 22 JJ422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJ4 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJ4 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJJT4 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJJ94 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJJ84 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJJ74 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AJJ64 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AJJ54 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJJ43 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJJ42 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJ4 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJJT4 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJJ94 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJJ84 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJJ74 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KJJ64 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KJJ54 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJJ43 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJJ42 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJJT4 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJJ94 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJJ84 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJJ74 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QJJ64 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QJJ54 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJJ43 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJJ42 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JJT94 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JJT84 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JJT74 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 JJT64 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 JJT54 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JJT43 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JJT42 one pair 384 1.53% 1 : 64.2 33.73%
71 98 JJ984 one pair 384 1.53% 1 : 64.2 32.20%
72 97 JJ974 one pair 384 1.53% 1 : 64.2 30.67%
73 96 JJ964 one pair 384 1.53% 1 : 64.2 29.13%
74 95 JJ954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 JJ943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 JJ942 one pair 384 1.53% 1 : 64.2 24.53%
77 87 JJ874 one pair 384 1.53% 1 : 64.2 23.00%
78 86 JJ864 one pair 384 1.53% 1 : 64.2 21.47%
79 85 JJ854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 JJ843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 JJ842 one pair 384 1.53% 1 : 64.2 16.87%
82 76 JJ764 one pair 384 1.53% 1 : 64.2 15.33%
83 75 JJ754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 JJ743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 JJ742 one pair 384 1.53% 1 : 64.2 10.73%
86 65 JJ654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 JJ643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 JJ642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 JJ543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 JJ542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 JJ432 one pair 384 1.53% 1 : 64.2 1.53%