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 QQQQ7 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 Q7 QQQ77 full house 24 0.10% 1 : 1043 99.98%
3 77 QQ777 full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQ7 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQ7 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJ7 three of a kind 64 0.26% 1 : 390 99.28%
7 QT QQQT7 three of a kind 64 0.26% 1 : 390 99.03%
8 Q9 QQQ97 three of a kind 64 0.26% 1 : 390 98.77%
9 Q8 QQQ87 three of a kind 64 0.26% 1 : 390 98.51%
10 Q6 QQQ76 three of a kind 64 0.26% 1 : 390 98.26%
11 Q5 QQQ75 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 QQQ74 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 QQQ73 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQ72 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQ7 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQ7 two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJ7 two pairs 144 0.57% 1 : 173 95.83%
18 TT QQTT7 two pairs 144 0.57% 1 : 173 95.26%
19 99 QQ997 two pairs 144 0.57% 1 : 173 94.68%
20 88 QQ887 two pairs 144 0.57% 1 : 173 94.11%
21 A7 AQQ77 two pairs 144 0.57% 1 : 173 93.53%
22 K7 KQQ77 two pairs 144 0.57% 1 : 173 92.96%
23 J7 QQJ77 two pairs 144 0.57% 1 : 173 92.38%
24 T7 QQT77 two pairs 144 0.57% 1 : 173 91.81%
25 97 QQ977 two pairs 144 0.57% 1 : 173 91.23%
26 87 QQ877 two pairs 144 0.57% 1 : 173 90.66%
27 76 QQ776 two pairs 144 0.57% 1 : 173 90.08%
28 75 QQ775 two pairs 144 0.57% 1 : 173 89.51%
29 74 QQ774 two pairs 144 0.57% 1 : 173 88.93%
30 73 QQ773 two pairs 144 0.57% 1 : 173 88.36%
31 72 QQ772 two pairs 144 0.57% 1 : 173 87.78%
32 66 QQ766 two pairs 144 0.57% 1 : 173 87.21%
33 55 QQ755 two pairs 144 0.57% 1 : 173 86.63%
34 44 QQ744 two pairs 144 0.57% 1 : 173 86.06%
35 33 QQ733 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQ722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQ7 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJ7 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQQT7 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQQ97 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQQ87 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQQ76 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQQ75 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQQ74 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQQ73 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQ72 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJ7 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQQT7 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQQ97 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQQ87 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQQ76 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQQ75 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQQ74 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQQ73 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQ72 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QQJT7 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QQJ97 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QQJ87 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 QQJ76 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QQJ75 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QQJ74 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QQJ73 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QQJ72 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QQT97 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QQT87 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 QQT76 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 QQT75 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QQT74 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QQT73 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QQT72 one pair 384 1.53% 1 : 64.2 33.73%
71 98 QQ987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 QQ976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 QQ975 one pair 384 1.53% 1 : 64.2 29.13%
74 94 QQ974 one pair 384 1.53% 1 : 64.2 27.60%
75 93 QQ973 one pair 384 1.53% 1 : 64.2 26.07%
76 92 QQ972 one pair 384 1.53% 1 : 64.2 24.53%
77 86 QQ876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 QQ875 one pair 384 1.53% 1 : 64.2 21.47%
79 84 QQ874 one pair 384 1.53% 1 : 64.2 19.93%
80 83 QQ873 one pair 384 1.53% 1 : 64.2 18.40%
81 82 QQ872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 QQ765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 QQ764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 QQ763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 QQ762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 QQ754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 QQ753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 QQ752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QQ743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QQ742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QQ732 one pair 384 1.53% 1 : 64.2 1.53%