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 QQQQ8 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 Q8 QQQ88 full house 24 0.10% 1 : 1043 99.98%
3 88 QQ888 full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQ8 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQ8 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJ8 three of a kind 64 0.26% 1 : 390 99.28%
7 QT QQQT8 three of a kind 64 0.26% 1 : 390 99.03%
8 Q9 QQQ98 three of a kind 64 0.26% 1 : 390 98.77%
9 Q7 QQQ87 three of a kind 64 0.26% 1 : 390 98.51%
10 Q6 QQQ86 three of a kind 64 0.26% 1 : 390 98.26%
11 Q5 QQQ85 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 QQQ84 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 QQQ83 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQ82 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQ8 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQ8 two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJ8 two pairs 144 0.57% 1 : 173 95.83%
18 TT QQTT8 two pairs 144 0.57% 1 : 173 95.26%
19 99 QQ998 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AQQ88 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KQQ88 two pairs 144 0.57% 1 : 173 93.53%
22 J8 QQJ88 two pairs 144 0.57% 1 : 173 92.96%
23 T8 QQT88 two pairs 144 0.57% 1 : 173 92.38%
24 98 QQ988 two pairs 144 0.57% 1 : 173 91.81%
25 87 QQ887 two pairs 144 0.57% 1 : 173 91.23%
26 86 QQ886 two pairs 144 0.57% 1 : 173 90.66%
27 85 QQ885 two pairs 144 0.57% 1 : 173 90.08%
28 84 QQ884 two pairs 144 0.57% 1 : 173 89.51%
29 83 QQ883 two pairs 144 0.57% 1 : 173 88.93%
30 82 QQ882 two pairs 144 0.57% 1 : 173 88.36%
31 77 QQ877 two pairs 144 0.57% 1 : 173 87.78%
32 66 QQ866 two pairs 144 0.57% 1 : 173 87.21%
33 55 QQ855 two pairs 144 0.57% 1 : 173 86.63%
34 44 QQ844 two pairs 144 0.57% 1 : 173 86.06%
35 33 QQ833 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQ822 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQ8 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJ8 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQQT8 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQQ98 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AQQ87 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQQ86 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQQ85 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQQ84 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQQ83 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQ82 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJ8 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQQT8 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQQ98 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KQQ87 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQQ86 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQQ85 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQQ84 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQQ83 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQ82 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QQJT8 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QQJ98 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 QQJ87 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 QQJ86 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QQJ85 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QQJ84 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QQJ83 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QQJ82 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QQT98 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 QQT87 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 QQT86 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 QQT85 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QQT84 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QQT83 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QQT82 one pair 384 1.53% 1 : 64.2 33.73%
71 97 QQ987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 QQ986 one pair 384 1.53% 1 : 64.2 30.67%
73 95 QQ985 one pair 384 1.53% 1 : 64.2 29.13%
74 94 QQ984 one pair 384 1.53% 1 : 64.2 27.60%
75 93 QQ983 one pair 384 1.53% 1 : 64.2 26.07%
76 92 QQ982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 QQ876 one pair 384 1.53% 1 : 64.2 23.00%
78 75 QQ875 one pair 384 1.53% 1 : 64.2 21.47%
79 74 QQ874 one pair 384 1.53% 1 : 64.2 19.93%
80 73 QQ873 one pair 384 1.53% 1 : 64.2 18.40%
81 72 QQ872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 QQ865 one pair 384 1.53% 1 : 64.2 15.33%
83 64 QQ864 one pair 384 1.53% 1 : 64.2 13.80%
84 63 QQ863 one pair 384 1.53% 1 : 64.2 12.27%
85 62 QQ862 one pair 384 1.53% 1 : 64.2 10.73%
86 54 QQ854 one pair 384 1.53% 1 : 64.2 9.20%
87 53 QQ853 one pair 384 1.53% 1 : 64.2 7.67%
88 52 QQ852 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QQ843 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QQ842 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QQ832 one pair 384 1.53% 1 : 64.2 1.53%