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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 QQQQ4 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 Q4 QQQ44 full house 24 0.10% 1 : 1043 99.98%
3 44 QQ444 full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQ4 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQ4 three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJ4 three of a kind 64 0.26% 1 : 390 99.28%
7 QT QQQT4 three of a kind 64 0.26% 1 : 390 99.03%
8 Q9 QQQ94 three of a kind 64 0.26% 1 : 390 98.77%
9 Q8 QQQ84 three of a kind 64 0.26% 1 : 390 98.51%
10 Q7 QQQ74 three of a kind 64 0.26% 1 : 390 98.26%
11 Q6 QQQ64 three of a kind 64 0.26% 1 : 390 98.00%
12 Q5 QQQ54 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 QQQ43 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQ42 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQ4 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQ4 two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJ4 two pairs 144 0.57% 1 : 173 95.83%
18 TT QQTT4 two pairs 144 0.57% 1 : 173 95.26%
19 99 QQ994 two pairs 144 0.57% 1 : 173 94.68%
20 88 QQ884 two pairs 144 0.57% 1 : 173 94.11%
21 77 QQ774 two pairs 144 0.57% 1 : 173 93.53%
22 66 QQ664 two pairs 144 0.57% 1 : 173 92.96%
23 55 QQ554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 AQQ44 two pairs 144 0.57% 1 : 173 91.81%
25 K4 KQQ44 two pairs 144 0.57% 1 : 173 91.23%
26 J4 QQJ44 two pairs 144 0.57% 1 : 173 90.66%
27 T4 QQT44 two pairs 144 0.57% 1 : 173 90.08%
28 94 QQ944 two pairs 144 0.57% 1 : 173 89.51%
29 84 QQ844 two pairs 144 0.57% 1 : 173 88.93%
30 74 QQ744 two pairs 144 0.57% 1 : 173 88.36%
31 64 QQ644 two pairs 144 0.57% 1 : 173 87.78%
32 54 QQ544 two pairs 144 0.57% 1 : 173 87.21%
33 43 QQ443 two pairs 144 0.57% 1 : 173 86.63%
34 42 QQ442 two pairs 144 0.57% 1 : 173 86.06%
35 33 QQ433 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQ422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQ4 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJ4 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQQT4 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQQ94 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQQ84 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQQ74 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AQQ64 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AQQ54 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQQ43 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQ42 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJ4 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQQT4 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQQ94 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQQ84 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQQ74 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KQQ64 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KQQ54 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQQ43 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQ42 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QQJT4 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QQJ94 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QQJ84 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QQJ74 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 QQJ64 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 QQJ54 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QQJ43 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QQJ42 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QQT94 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QQT84 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QQT74 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 QQT64 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 QQT54 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QQT43 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QQT42 one pair 384 1.53% 1 : 64.2 33.73%
71 98 QQ984 one pair 384 1.53% 1 : 64.2 32.20%
72 97 QQ974 one pair 384 1.53% 1 : 64.2 30.67%
73 96 QQ964 one pair 384 1.53% 1 : 64.2 29.13%
74 95 QQ954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 QQ943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 QQ942 one pair 384 1.53% 1 : 64.2 24.53%
77 87 QQ874 one pair 384 1.53% 1 : 64.2 23.00%
78 86 QQ864 one pair 384 1.53% 1 : 64.2 21.47%
79 85 QQ854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 QQ843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 QQ842 one pair 384 1.53% 1 : 64.2 16.87%
82 76 QQ764 one pair 384 1.53% 1 : 64.2 15.33%
83 75 QQ754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 QQ743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 QQ742 one pair 384 1.53% 1 : 64.2 10.73%
86 65 QQ654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 QQ643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 QQ642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 QQ543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 QQ542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QQ432 one pair 384 1.53% 1 : 64.2 1.53%