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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 JJJJT four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JT JJJTT full house 24 0.10% 1 : 1043 99.98%
3 TT JJTTT full house 24 0.10% 1 : 1043 99.89%
 
4 AJ AJJJT three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KJJJT three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QJJJT three of a kind 64 0.26% 1 : 390 99.28%
7 J9 JJJT9 three of a kind 64 0.26% 1 : 390 99.03%
8 J8 JJJT8 three of a kind 64 0.26% 1 : 390 98.77%
9 J7 JJJT7 three of a kind 64 0.26% 1 : 390 98.51%
10 J6 JJJT6 three of a kind 64 0.26% 1 : 390 98.26%
11 J5 JJJT5 three of a kind 64 0.26% 1 : 390 98.00%
12 J4 JJJT4 three of a kind 64 0.26% 1 : 390 97.75%
13 J3 JJJT3 three of a kind 64 0.26% 1 : 390 97.49%
14 J2 JJJT2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJJT two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJJT two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJJT two pairs 144 0.57% 1 : 173 95.83%
18 AT AJJTT two pairs 144 0.57% 1 : 173 95.26%
19 KT KJJTT two pairs 144 0.57% 1 : 173 94.68%
20 QT QJJTT two pairs 144 0.57% 1 : 173 94.11%
21 T9 JJTT9 two pairs 144 0.57% 1 : 173 93.53%
22 T8 JJTT8 two pairs 144 0.57% 1 : 173 92.96%
23 T7 JJTT7 two pairs 144 0.57% 1 : 173 92.38%
24 T6 JJTT6 two pairs 144 0.57% 1 : 173 91.81%
25 T5 JJTT5 two pairs 144 0.57% 1 : 173 91.23%
26 T4 JJTT4 two pairs 144 0.57% 1 : 173 90.66%
27 T3 JJTT3 two pairs 144 0.57% 1 : 173 90.08%
28 T2 JJTT2 two pairs 144 0.57% 1 : 173 89.51%
29 99 JJT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 JJT88 two pairs 144 0.57% 1 : 173 88.36%
31 77 JJT77 two pairs 144 0.57% 1 : 173 87.78%
32 66 JJT66 two pairs 144 0.57% 1 : 173 87.21%
33 55 JJT55 two pairs 144 0.57% 1 : 173 86.63%
34 44 JJT44 two pairs 144 0.57% 1 : 173 86.06%
35 33 JJT33 two pairs 144 0.57% 1 : 173 85.48%
36 22 JJT22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJJT one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJJT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AJJT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AJJT8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AJJT7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AJJT6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJJT5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJJT4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJJT3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJJT2 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJJT one pair 384 1.53% 1 : 64.2 69.00%
48 K9 KJJT9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KJJT8 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KJJT7 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KJJT6 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJJT5 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJJT4 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJJT3 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJJT2 one pair 384 1.53% 1 : 64.2 56.73%
56 Q9 QJJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 Q8 QJJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QJJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QJJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 JJT98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 JJT97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 JJT96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 JJT95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 JJT94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 JJT93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 JJT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 JJT87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 JJT86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 JJT85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 JJT84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 JJT83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 JJT82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 JJT76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 JJT75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 JJT74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 JJT73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 JJT72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 JJT65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 JJT64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 JJT63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 JJT62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 JJT54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 JJT53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 JJT52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 JJT43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 JJT42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 JJT32 one pair 384 1.53% 1 : 64.2 1.53%