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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 QQ AQQQQ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAAQQ full house 24 0.10% 1 : 1043 99.98%
3 AQ AAQQQ full house 24 0.10% 1 : 1043 99.89%
 
4 KQ AKQQQ three of a kind 64 0.26% 1 : 390 99.79%
5 QJ AQQQJ three of a kind 64 0.26% 1 : 390 99.54%
6 QT AQQQT three of a kind 64 0.26% 1 : 390 99.28%
7 Q9 AQQQ9 three of a kind 64 0.26% 1 : 390 99.03%
8 Q8 AQQQ8 three of a kind 64 0.26% 1 : 390 98.77%
9 Q7 AQQQ7 three of a kind 64 0.26% 1 : 390 98.51%
10 Q6 AQQQ6 three of a kind 64 0.26% 1 : 390 98.26%
11 Q5 AQQQ5 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 AQQQ4 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 AQQQ3 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 AQQQ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAKQQ two pairs 144 0.57% 1 : 173 96.98%
16 AJ AAQQJ two pairs 144 0.57% 1 : 173 96.41%
17 AT AAQQT two pairs 144 0.57% 1 : 173 95.83%
18 A9 AAQQ9 two pairs 144 0.57% 1 : 173 95.26%
19 A8 AAQQ8 two pairs 144 0.57% 1 : 173 94.68%
20 A7 AAQQ7 two pairs 144 0.57% 1 : 173 94.11%
21 A6 AAQQ6 two pairs 144 0.57% 1 : 173 93.53%
22 A5 AAQQ5 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AAQQ4 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AAQQ3 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AAQQ2 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKKQQ two pairs 144 0.57% 1 : 173 90.66%
27 JJ AQQJJ two pairs 144 0.57% 1 : 173 90.08%
28 TT AQQTT two pairs 144 0.57% 1 : 173 89.51%
29 99 AQQ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 AQQ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 AQQ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 AQQ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 AQQ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 AQQ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 AQQ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 AQQ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 KJ AKQQJ one pair 384 1.53% 1 : 64.2 84.33%
38 KT AKQQT one pair 384 1.53% 1 : 64.2 82.80%
39 K9 AKQQ9 one pair 384 1.53% 1 : 64.2 81.26%
40 K8 AKQQ8 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AKQQ7 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AKQQ6 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AKQQ5 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AKQQ4 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AKQQ3 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AKQQ2 one pair 384 1.53% 1 : 64.2 70.53%
47 JT AQQJT one pair 384 1.53% 1 : 64.2 69.00%
48 J9 AQQJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 J8 AQQJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 J7 AQQJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 J6 AQQJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 J5 AQQJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 J4 AQQJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 J3 AQQJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 J2 AQQJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 AQQT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 AQQT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 AQQT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 AQQT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 AQQT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 AQQT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 AQQT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 AQQT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 AQQ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 AQQ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 AQQ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 AQQ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 AQQ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 AQQ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 AQQ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 AQQ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 AQQ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 AQQ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 AQQ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 AQQ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 AQQ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 AQQ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 AQQ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 AQQ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 AQQ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 AQQ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 AQQ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 AQQ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 AQQ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 AQQ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 AQQ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 AQQ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 AQQ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 AQQ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 AQQ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AQQ32 one pair 384 1.53% 1 : 64.2 1.53%