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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 TT JTTTT four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJTT full house 24 0.10% 1 : 1043 99.98%
3 JT JJTTT full house 24 0.10% 1 : 1043 99.89%
 
4 AT AJTTT three of a kind 64 0.26% 1 : 390 99.79%
5 KT KJTTT three of a kind 64 0.26% 1 : 390 99.54%
6 QT QJTTT three of a kind 64 0.26% 1 : 390 99.28%
7 T9 JTTT9 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 JTTT8 three of a kind 64 0.26% 1 : 390 98.77%
9 T7 JTTT7 three of a kind 64 0.26% 1 : 390 98.51%
10 T6 JTTT6 three of a kind 64 0.26% 1 : 390 98.26%
11 T5 JTTT5 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 JTTT4 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 JTTT3 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 JTTT2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJTT two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJTT two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJTT two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJTT two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJTT two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJTT two pairs 144 0.57% 1 : 173 94.11%
21 J9 JJTT9 two pairs 144 0.57% 1 : 173 93.53%
22 J8 JJTT8 two pairs 144 0.57% 1 : 173 92.96%
23 J7 JJTT7 two pairs 144 0.57% 1 : 173 92.38%
24 J6 JJTT6 two pairs 144 0.57% 1 : 173 91.81%
25 J5 JJTT5 two pairs 144 0.57% 1 : 173 91.23%
26 J4 JJTT4 two pairs 144 0.57% 1 : 173 90.66%
27 J3 JJTT3 two pairs 144 0.57% 1 : 173 90.08%
28 J2 JJTT2 two pairs 144 0.57% 1 : 173 89.51%
29 99 JTT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 JTT88 two pairs 144 0.57% 1 : 173 88.36%
31 77 JTT77 two pairs 144 0.57% 1 : 173 87.78%
32 66 JTT66 two pairs 144 0.57% 1 : 173 87.21%
33 55 JTT55 two pairs 144 0.57% 1 : 173 86.63%
34 44 JTT44 two pairs 144 0.57% 1 : 173 86.06%
35 33 JTT33 two pairs 144 0.57% 1 : 173 85.48%
36 22 JTT22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJTT one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJTT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AJTT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AJTT8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AJTT7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AJTT6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJTT5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJTT4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJTT3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJTT2 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJTT one pair 384 1.53% 1 : 64.2 69.00%
48 K9 KJTT9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KJTT8 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KJTT7 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KJTT6 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJTT5 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJTT4 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJTT3 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJTT2 one pair 384 1.53% 1 : 64.2 56.73%
56 Q9 QJTT9 one pair 384 1.53% 1 : 64.2 55.20%
57 Q8 QJTT8 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QJTT7 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QJTT6 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJTT5 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJTT4 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJTT3 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJTT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 JTT98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 JTT97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 JTT96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 JTT95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 JTT94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 JTT93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 JTT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 JTT87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 JTT86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 JTT85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 JTT84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 JTT83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 JTT82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 JTT76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 JTT75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 JTT74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 JTT73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 JTT72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 JTT65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 JTT64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 JTT63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 JTT62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 JTT54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 JTT53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 JTT52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 JTT43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 JTT42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 JTT32 one pair 384 1.53% 1 : 64.2 1.53%