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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 AA AAAAT four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AT AAATT full house 24 0.10% 1 : 1043 99.98%
3 TT AATTT full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAKT three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQT three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJT three of a kind 64 0.26% 1 : 390 99.28%
7 A9 AAAT9 three of a kind 64 0.26% 1 : 390 99.03%
8 A8 AAAT8 three of a kind 64 0.26% 1 : 390 98.77%
9 A7 AAAT7 three of a kind 64 0.26% 1 : 390 98.51%
10 A6 AAAT6 three of a kind 64 0.26% 1 : 390 98.26%
11 A5 AAAT5 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAAT4 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAAT3 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAAT2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKKT two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQT two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJT two pairs 144 0.57% 1 : 173 95.83%
18 KT AAKTT two pairs 144 0.57% 1 : 173 95.26%
19 QT AAQTT two pairs 144 0.57% 1 : 173 94.68%
20 JT AAJTT two pairs 144 0.57% 1 : 173 94.11%
21 T9 AATT9 two pairs 144 0.57% 1 : 173 93.53%
22 T8 AATT8 two pairs 144 0.57% 1 : 173 92.96%
23 T7 AATT7 two pairs 144 0.57% 1 : 173 92.38%
24 T6 AATT6 two pairs 144 0.57% 1 : 173 91.81%
25 T5 AATT5 two pairs 144 0.57% 1 : 173 91.23%
26 T4 AATT4 two pairs 144 0.57% 1 : 173 90.66%
27 T3 AATT3 two pairs 144 0.57% 1 : 173 90.08%
28 T2 AATT2 two pairs 144 0.57% 1 : 173 89.51%
29 99 AAT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 AAT88 two pairs 144 0.57% 1 : 173 88.36%
31 77 AAT77 two pairs 144 0.57% 1 : 173 87.78%
32 66 AAT66 two pairs 144 0.57% 1 : 173 87.21%
33 55 AAT55 two pairs 144 0.57% 1 : 173 86.63%
34 44 AAT44 two pairs 144 0.57% 1 : 173 86.06%
35 33 AAT33 two pairs 144 0.57% 1 : 173 85.48%
36 22 AAT22 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQT one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJT one pair 384 1.53% 1 : 64.2 82.80%
39 K9 AAKT9 one pair 384 1.53% 1 : 64.2 81.26%
40 K8 AAKT8 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AAKT7 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AAKT6 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AAKT5 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AAKT4 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAKT3 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAKT2 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJT one pair 384 1.53% 1 : 64.2 69.00%
48 Q9 AAQT9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 AAQT8 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 AAQT7 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AAQT6 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AAQT5 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AAQT4 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AAQT3 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQT2 one pair 384 1.53% 1 : 64.2 56.73%
56 J9 AAJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 AAJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 AAJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 AAJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AAJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AAJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AAJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AAJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 AAT98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 AAT97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 AAT96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 AAT95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 AAT94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 AAT93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 AAT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 AAT87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 AAT86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 AAT85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 AAT84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 AAT83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 AAT82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AAT76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AAT75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AAT74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AAT73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AAT72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AAT65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AAT64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AAT63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AAT62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AAT54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AAT53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AAT52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AAT43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AAT42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AAT32 one pair 384 1.53% 1 : 64.2 1.53%