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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 AAAAQ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AQ AAAQQ full house 24 0.10% 1 : 1043 99.98%
3 QQ AAQQQ full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAKQ three of a kind 64 0.26% 1 : 390 99.79%
5 AJ AAAQJ three of a kind 64 0.26% 1 : 390 99.54%
6 AT AAAQT three of a kind 64 0.26% 1 : 390 99.28%
7 A9 AAAQ9 three of a kind 64 0.26% 1 : 390 99.03%
8 A8 AAAQ8 three of a kind 64 0.26% 1 : 390 98.77%
9 A7 AAAQ7 three of a kind 64 0.26% 1 : 390 98.51%
10 A6 AAAQ6 three of a kind 64 0.26% 1 : 390 98.26%
11 A5 AAAQ5 three of a kind 64 0.26% 1 : 390 98.00%
12 A4 AAAQ4 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAAQ3 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAAQ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKKQ two pairs 144 0.57% 1 : 173 96.98%
16 KQ AAKQQ two pairs 144 0.57% 1 : 173 96.41%
17 QJ AAQQJ two pairs 144 0.57% 1 : 173 95.83%
18 QT AAQQT two pairs 144 0.57% 1 : 173 95.26%
19 Q9 AAQQ9 two pairs 144 0.57% 1 : 173 94.68%
20 Q8 AAQQ8 two pairs 144 0.57% 1 : 173 94.11%
21 Q7 AAQQ7 two pairs 144 0.57% 1 : 173 93.53%
22 Q6 AAQQ6 two pairs 144 0.57% 1 : 173 92.96%
23 Q5 AAQQ5 two pairs 144 0.57% 1 : 173 92.38%
24 Q4 AAQQ4 two pairs 144 0.57% 1 : 173 91.81%
25 Q3 AAQQ3 two pairs 144 0.57% 1 : 173 91.23%
26 Q2 AAQQ2 two pairs 144 0.57% 1 : 173 90.66%
27 JJ AAQJJ two pairs 144 0.57% 1 : 173 90.08%
28 TT AAQTT two pairs 144 0.57% 1 : 173 89.51%
29 99 AAQ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 AAQ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 AAQ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 AAQ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 AAQ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 AAQ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 AAQ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 AAQ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 KJ AAKQJ one pair 384 1.53% 1 : 64.2 84.33%
38 KT AAKQT one pair 384 1.53% 1 : 64.2 82.80%
39 K9 AAKQ9 one pair 384 1.53% 1 : 64.2 81.26%
40 K8 AAKQ8 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AAKQ7 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AAKQ6 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AAKQ5 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AAKQ4 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAKQ3 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAKQ2 one pair 384 1.53% 1 : 64.2 70.53%
47 JT AAQJT one pair 384 1.53% 1 : 64.2 69.00%
48 J9 AAQJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 J8 AAQJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 J7 AAQJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 J6 AAQJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 J5 AAQJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 J4 AAQJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 J3 AAQJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 J2 AAQJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 AAQT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 AAQT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 AAQT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 AAQT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 AAQT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 AAQT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 AAQT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 AAQT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 AAQ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 AAQ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 AAQ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 AAQ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 AAQ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 AAQ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 AAQ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 AAQ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 AAQ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 AAQ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 AAQ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 AAQ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 AAQ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AAQ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AAQ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AAQ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AAQ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AAQ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AAQ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AAQ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AAQ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AAQ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AAQ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AAQ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AAQ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AAQ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AAQ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AAQ32 one pair 384 1.53% 1 : 64.2 1.53%