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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 AAAAK four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AK AAAKK full house 24 0.10% 1 : 1043 99.98%
3 KK AAKKK full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AAAKQ three of a kind 64 0.26% 1 : 390 99.79%
5 AJ AAAKJ three of a kind 64 0.26% 1 : 390 99.54%
6 AT AAAKT three of a kind 64 0.26% 1 : 390 99.28%
7 A9 AAAK9 three of a kind 64 0.26% 1 : 390 99.03%
8 A8 AAAK8 three of a kind 64 0.26% 1 : 390 98.77%
9 A7 AAAK7 three of a kind 64 0.26% 1 : 390 98.51%
10 A6 AAAK6 three of a kind 64 0.26% 1 : 390 98.26%
11 A5 AAAK5 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAAK4 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAAK3 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAAK2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KQ AAKKQ two pairs 144 0.57% 1 : 173 96.98%
16 KJ AAKKJ two pairs 144 0.57% 1 : 173 96.41%
17 KT AAKKT two pairs 144 0.57% 1 : 173 95.83%
18 K9 AAKK9 two pairs 144 0.57% 1 : 173 95.26%
19 K8 AAKK8 two pairs 144 0.57% 1 : 173 94.68%
20 K7 AAKK7 two pairs 144 0.57% 1 : 173 94.11%
21 K6 AAKK6 two pairs 144 0.57% 1 : 173 93.53%
22 K5 AAKK5 two pairs 144 0.57% 1 : 173 92.96%
23 K4 AAKK4 two pairs 144 0.57% 1 : 173 92.38%
24 K3 AAKK3 two pairs 144 0.57% 1 : 173 91.81%
25 K2 AAKK2 two pairs 144 0.57% 1 : 173 91.23%
26 QQ AAKQQ two pairs 144 0.57% 1 : 173 90.66%
27 JJ AAKJJ two pairs 144 0.57% 1 : 173 90.08%
28 TT AAKTT two pairs 144 0.57% 1 : 173 89.51%
29 99 AAK99 two pairs 144 0.57% 1 : 173 88.93%
30 88 AAK88 two pairs 144 0.57% 1 : 173 88.36%
31 77 AAK77 two pairs 144 0.57% 1 : 173 87.78%
32 66 AAK66 two pairs 144 0.57% 1 : 173 87.21%
33 55 AAK55 two pairs 144 0.57% 1 : 173 86.63%
34 44 AAK44 two pairs 144 0.57% 1 : 173 86.06%
35 33 AAK33 two pairs 144 0.57% 1 : 173 85.48%
36 22 AAK22 two pairs 144 0.57% 1 : 173 84.91%
 
37 QJ AAKQJ one pair 384 1.53% 1 : 64.2 84.33%
38 QT AAKQT one pair 384 1.53% 1 : 64.2 82.80%
39 Q9 AAKQ9 one pair 384 1.53% 1 : 64.2 81.26%
40 Q8 AAKQ8 one pair 384 1.53% 1 : 64.2 79.73%
41 Q7 AAKQ7 one pair 384 1.53% 1 : 64.2 78.20%
42 Q6 AAKQ6 one pair 384 1.53% 1 : 64.2 76.67%
43 Q5 AAKQ5 one pair 384 1.53% 1 : 64.2 75.13%
44 Q4 AAKQ4 one pair 384 1.53% 1 : 64.2 73.60%
45 Q3 AAKQ3 one pair 384 1.53% 1 : 64.2 72.07%
46 Q2 AAKQ2 one pair 384 1.53% 1 : 64.2 70.53%
47 JT AAKJT one pair 384 1.53% 1 : 64.2 69.00%
48 J9 AAKJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 J8 AAKJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 J7 AAKJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 J6 AAKJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 J5 AAKJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 J4 AAKJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 J3 AAKJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 J2 AAKJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 AAKT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 AAKT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 AAKT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 AAKT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 AAKT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 AAKT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 AAKT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 AAKT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 AAK98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 AAK97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 AAK96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 AAK95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 AAK94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 AAK93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 AAK92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 AAK87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 AAK86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 AAK85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 AAK84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 AAK83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 AAK82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AAK76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AAK75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AAK74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AAK73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AAK72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AAK65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AAK64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AAK63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AAK62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AAK54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AAK53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AAK52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AAK43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AAK42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AAK32 one pair 384 1.53% 1 : 64.2 1.53%