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 QQQQ9 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 Q9 QQQ99 full house 24 0.10% 1 : 1043 99.98%
3 99 QQ999 full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQ9 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQ9 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJ9 three of a kind 64 0.26% 1 : 390 99.28%
7 QT QQQT9 three of a kind 64 0.26% 1 : 390 99.03%
8 Q8 QQQ98 three of a kind 64 0.26% 1 : 390 98.77%
9 Q7 QQQ97 three of a kind 64 0.26% 1 : 390 98.51%
10 Q6 QQQ96 three of a kind 64 0.26% 1 : 390 98.26%
11 Q5 QQQ95 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 QQQ94 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 QQQ93 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQ92 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQ9 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQ9 two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJ9 two pairs 144 0.57% 1 : 173 95.83%
18 TT QQTT9 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AQQ99 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KQQ99 two pairs 144 0.57% 1 : 173 94.11%
21 J9 QQJ99 two pairs 144 0.57% 1 : 173 93.53%
22 T9 QQT99 two pairs 144 0.57% 1 : 173 92.96%
23 98 QQ998 two pairs 144 0.57% 1 : 173 92.38%
24 97 QQ997 two pairs 144 0.57% 1 : 173 91.81%
25 96 QQ996 two pairs 144 0.57% 1 : 173 91.23%
26 95 QQ995 two pairs 144 0.57% 1 : 173 90.66%
27 94 QQ994 two pairs 144 0.57% 1 : 173 90.08%
28 93 QQ993 two pairs 144 0.57% 1 : 173 89.51%
29 92 QQ992 two pairs 144 0.57% 1 : 173 88.93%
30 88 QQ988 two pairs 144 0.57% 1 : 173 88.36%
31 77 QQ977 two pairs 144 0.57% 1 : 173 87.78%
32 66 QQ966 two pairs 144 0.57% 1 : 173 87.21%
33 55 QQ955 two pairs 144 0.57% 1 : 173 86.63%
34 44 QQ944 two pairs 144 0.57% 1 : 173 86.06%
35 33 QQ933 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQ922 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQ9 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJ9 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQQT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AQQ98 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AQQ97 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQQ96 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQQ95 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQQ94 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQQ93 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQ92 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJ9 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQQT9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KQQ98 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KQQ97 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQQ96 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQQ95 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQQ94 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQQ93 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQ92 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QQJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 QQJ98 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 QQJ97 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 QQJ96 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QQJ95 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QQJ94 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QQJ93 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QQJ92 one pair 384 1.53% 1 : 64.2 44.47%
64 T8 QQT98 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 QQT97 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 QQT96 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 QQT95 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QQT94 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QQT93 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QQT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 QQ987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 QQ986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 QQ985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 QQ984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 QQ983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 QQ982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 QQ976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 QQ975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 QQ974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 QQ973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 QQ972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 QQ965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 QQ964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 QQ963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 QQ962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 QQ954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 QQ953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 QQ952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QQ943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QQ942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QQ932 one pair 384 1.53% 1 : 64.2 1.53%