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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 AKKKK four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAAKK full house 24 0.10% 1 : 1043 99.98%
3 AK AAKKK full house 24 0.10% 1 : 1043 99.89%
 
4 KQ AKKKQ three of a kind 64 0.26% 1 : 390 99.79%
5 KJ AKKKJ three of a kind 64 0.26% 1 : 390 99.54%
6 KT AKKKT three of a kind 64 0.26% 1 : 390 99.28%
7 K9 AKKK9 three of a kind 64 0.26% 1 : 390 99.03%
8 K8 AKKK8 three of a kind 64 0.26% 1 : 390 98.77%
9 K7 AKKK7 three of a kind 64 0.26% 1 : 390 98.51%
10 K6 AKKK6 three of a kind 64 0.26% 1 : 390 98.26%
11 K5 AKKK5 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 AKKK4 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 AKKK3 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 AKKK2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AQ AAKKQ two pairs 144 0.57% 1 : 173 96.98%
16 AJ AAKKJ two pairs 144 0.57% 1 : 173 96.41%
17 AT AAKKT two pairs 144 0.57% 1 : 173 95.83%
18 A9 AAKK9 two pairs 144 0.57% 1 : 173 95.26%
19 A8 AAKK8 two pairs 144 0.57% 1 : 173 94.68%
20 A7 AAKK7 two pairs 144 0.57% 1 : 173 94.11%
21 A6 AAKK6 two pairs 144 0.57% 1 : 173 93.53%
22 A5 AAKK5 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AAKK4 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AAKK3 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AAKK2 two pairs 144 0.57% 1 : 173 91.23%
26 QQ AKKQQ two pairs 144 0.57% 1 : 173 90.66%
27 JJ AKKJJ two pairs 144 0.57% 1 : 173 90.08%
28 TT AKKTT two pairs 144 0.57% 1 : 173 89.51%
29 99 AKK99 two pairs 144 0.57% 1 : 173 88.93%
30 88 AKK88 two pairs 144 0.57% 1 : 173 88.36%
31 77 AKK77 two pairs 144 0.57% 1 : 173 87.78%
32 66 AKK66 two pairs 144 0.57% 1 : 173 87.21%
33 55 AKK55 two pairs 144 0.57% 1 : 173 86.63%
34 44 AKK44 two pairs 144 0.57% 1 : 173 86.06%
35 33 AKK33 two pairs 144 0.57% 1 : 173 85.48%
36 22 AKK22 two pairs 144 0.57% 1 : 173 84.91%
 
37 QJ AKKQJ one pair 384 1.53% 1 : 64.2 84.33%
38 QT AKKQT one pair 384 1.53% 1 : 64.2 82.80%
39 Q9 AKKQ9 one pair 384 1.53% 1 : 64.2 81.26%
40 Q8 AKKQ8 one pair 384 1.53% 1 : 64.2 79.73%
41 Q7 AKKQ7 one pair 384 1.53% 1 : 64.2 78.20%
42 Q6 AKKQ6 one pair 384 1.53% 1 : 64.2 76.67%
43 Q5 AKKQ5 one pair 384 1.53% 1 : 64.2 75.13%
44 Q4 AKKQ4 one pair 384 1.53% 1 : 64.2 73.60%
45 Q3 AKKQ3 one pair 384 1.53% 1 : 64.2 72.07%
46 Q2 AKKQ2 one pair 384 1.53% 1 : 64.2 70.53%
47 JT AKKJT one pair 384 1.53% 1 : 64.2 69.00%
48 J9 AKKJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 J8 AKKJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 J7 AKKJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 J6 AKKJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 J5 AKKJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 J4 AKKJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 J3 AKKJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 J2 AKKJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 AKKT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 AKKT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 AKKT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 AKKT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 AKKT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 AKKT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 AKKT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 AKKT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 AKK98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 AKK97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 AKK96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 AKK95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 AKK94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 AKK93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 AKK92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 AKK87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 AKK86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 AKK85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 AKK84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 AKK83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 AKK82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AKK76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AKK75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AKK74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AKK73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AKK72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AKK65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AKK64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AKK63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AKK62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AKK54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AKK53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AKK52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AKK43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AKK42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AKK32 one pair 384 1.53% 1 : 64.2 1.53%