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 QQQQ6 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 Q6 QQQ66 full house 24 0.10% 1 : 1043 99.98%
3 66 QQ666 full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQ6 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQ6 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJ6 three of a kind 64 0.26% 1 : 390 99.28%
7 QT QQQT6 three of a kind 64 0.26% 1 : 390 99.03%
8 Q9 QQQ96 three of a kind 64 0.26% 1 : 390 98.77%
9 Q8 QQQ86 three of a kind 64 0.26% 1 : 390 98.51%
10 Q7 QQQ76 three of a kind 64 0.26% 1 : 390 98.26%
11 Q5 QQQ65 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 QQQ64 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 QQQ63 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQ62 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQ6 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQ6 two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJ6 two pairs 144 0.57% 1 : 173 95.83%
18 TT QQTT6 two pairs 144 0.57% 1 : 173 95.26%
19 99 QQ996 two pairs 144 0.57% 1 : 173 94.68%
20 88 QQ886 two pairs 144 0.57% 1 : 173 94.11%
21 77 QQ776 two pairs 144 0.57% 1 : 173 93.53%
22 A6 AQQ66 two pairs 144 0.57% 1 : 173 92.96%
23 K6 KQQ66 two pairs 144 0.57% 1 : 173 92.38%
24 J6 QQJ66 two pairs 144 0.57% 1 : 173 91.81%
25 T6 QQT66 two pairs 144 0.57% 1 : 173 91.23%
26 96 QQ966 two pairs 144 0.57% 1 : 173 90.66%
27 86 QQ866 two pairs 144 0.57% 1 : 173 90.08%
28 76 QQ766 two pairs 144 0.57% 1 : 173 89.51%
29 65 QQ665 two pairs 144 0.57% 1 : 173 88.93%
30 64 QQ664 two pairs 144 0.57% 1 : 173 88.36%
31 63 QQ663 two pairs 144 0.57% 1 : 173 87.78%
32 62 QQ662 two pairs 144 0.57% 1 : 173 87.21%
33 55 QQ655 two pairs 144 0.57% 1 : 173 86.63%
34 44 QQ644 two pairs 144 0.57% 1 : 173 86.06%
35 33 QQ633 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQ622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQ6 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJ6 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQQT6 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQQ96 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQQ86 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQQ76 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQQ65 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQQ64 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQQ63 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQ62 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJ6 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQQT6 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQQ96 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQQ86 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQQ76 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQQ65 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQQ64 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQQ63 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQ62 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QQJT6 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QQJ96 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QQJ86 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QQJ76 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QQJ65 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QQJ64 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QQJ63 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QQJ62 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QQT96 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QQT86 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QQT76 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 QQT65 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QQT64 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QQT63 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QQT62 one pair 384 1.53% 1 : 64.2 33.73%
71 98 QQ986 one pair 384 1.53% 1 : 64.2 32.20%
72 97 QQ976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 QQ965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 QQ964 one pair 384 1.53% 1 : 64.2 27.60%
75 93 QQ963 one pair 384 1.53% 1 : 64.2 26.07%
76 92 QQ962 one pair 384 1.53% 1 : 64.2 24.53%
77 87 QQ876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 QQ865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 QQ864 one pair 384 1.53% 1 : 64.2 19.93%
80 83 QQ863 one pair 384 1.53% 1 : 64.2 18.40%
81 82 QQ862 one pair 384 1.53% 1 : 64.2 16.87%
82 75 QQ765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 QQ764 one pair 384 1.53% 1 : 64.2 13.80%
84 73 QQ763 one pair 384 1.53% 1 : 64.2 12.27%
85 72 QQ762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 QQ654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 QQ653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 QQ652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QQ643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QQ642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QQ632 one pair 384 1.53% 1 : 64.2 1.53%