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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 KK KKKKT four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KT KKKTT full house 24 0.10% 1 : 1043 99.98%
3 TT KKTTT full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKKT three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQT three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJT three of a kind 64 0.26% 1 : 390 99.28%
7 K9 KKKT9 three of a kind 64 0.26% 1 : 390 99.03%
8 K8 KKKT8 three of a kind 64 0.26% 1 : 390 98.77%
9 K7 KKKT7 three of a kind 64 0.26% 1 : 390 98.51%
10 K6 KKKT6 three of a kind 64 0.26% 1 : 390 98.26%
11 K5 KKKT5 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 KKKT4 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKKT3 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKKT2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKKT two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQT two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJT two pairs 144 0.57% 1 : 173 95.83%
18 AT AKKTT two pairs 144 0.57% 1 : 173 95.26%
19 QT KKQTT two pairs 144 0.57% 1 : 173 94.68%
20 JT KKJTT two pairs 144 0.57% 1 : 173 94.11%
21 T9 KKTT9 two pairs 144 0.57% 1 : 173 93.53%
22 T8 KKTT8 two pairs 144 0.57% 1 : 173 92.96%
23 T7 KKTT7 two pairs 144 0.57% 1 : 173 92.38%
24 T6 KKTT6 two pairs 144 0.57% 1 : 173 91.81%
25 T5 KKTT5 two pairs 144 0.57% 1 : 173 91.23%
26 T4 KKTT4 two pairs 144 0.57% 1 : 173 90.66%
27 T3 KKTT3 two pairs 144 0.57% 1 : 173 90.08%
28 T2 KKTT2 two pairs 144 0.57% 1 : 173 89.51%
29 99 KKT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 KKT88 two pairs 144 0.57% 1 : 173 88.36%
31 77 KKT77 two pairs 144 0.57% 1 : 173 87.78%
32 66 KKT66 two pairs 144 0.57% 1 : 173 87.21%
33 55 KKT55 two pairs 144 0.57% 1 : 173 86.63%
34 44 KKT44 two pairs 144 0.57% 1 : 173 86.06%
35 33 KKT33 two pairs 144 0.57% 1 : 173 85.48%
36 22 KKT22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQT one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AKKT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AKKT8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AKKT7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKKT6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKKT5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKKT4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKKT3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKKT2 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJT one pair 384 1.53% 1 : 64.2 69.00%
48 Q9 KKQT9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 KKQT8 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 KKQT7 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KKQT6 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KKQT5 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KKQT4 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KKQT3 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQT2 one pair 384 1.53% 1 : 64.2 56.73%
56 J9 KKJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 KKJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 KKJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 KKJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KKJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KKJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KKJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KKJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 KKT98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 KKT97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 KKT96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 KKT95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 KKT94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 KKT93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 KKT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 KKT87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 KKT86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 KKT85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 KKT84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 KKT83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 KKT82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 KKT76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 KKT75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 KKT74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 KKT73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 KKT72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KKT65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KKT64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KKT63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KKT62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KKT54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KKT53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KKT52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KKT43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KKT42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KKT32 one pair 384 1.53% 1 : 64.2 1.53%