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 KQQQQ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKKQQ full house 24 0.10% 1 : 1043 99.98%
3 KQ KKQQQ full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AKQQQ three of a kind 64 0.26% 1 : 390 99.79%
5 QJ KQQQJ three of a kind 64 0.26% 1 : 390 99.54%
6 QT KQQQT three of a kind 64 0.26% 1 : 390 99.28%
7 Q9 KQQQ9 three of a kind 64 0.26% 1 : 390 99.03%
8 Q8 KQQQ8 three of a kind 64 0.26% 1 : 390 98.77%
9 Q7 KQQQ7 three of a kind 64 0.26% 1 : 390 98.51%
10 Q6 KQQQ6 three of a kind 64 0.26% 1 : 390 98.26%
11 Q5 KQQQ5 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 KQQQ4 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 KQQQ3 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 KQQQ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKQQ two pairs 144 0.57% 1 : 173 96.98%
16 AK AKKQQ two pairs 144 0.57% 1 : 173 96.41%
17 KJ KKQQJ two pairs 144 0.57% 1 : 173 95.83%
18 KT KKQQT two pairs 144 0.57% 1 : 173 95.26%
19 K9 KKQQ9 two pairs 144 0.57% 1 : 173 94.68%
20 K8 KKQQ8 two pairs 144 0.57% 1 : 173 94.11%
21 K7 KKQQ7 two pairs 144 0.57% 1 : 173 93.53%
22 K6 KKQQ6 two pairs 144 0.57% 1 : 173 92.96%
23 K5 KKQQ5 two pairs 144 0.57% 1 : 173 92.38%
24 K4 KKQQ4 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KKQQ3 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KKQQ2 two pairs 144 0.57% 1 : 173 90.66%
27 JJ KQQJJ two pairs 144 0.57% 1 : 173 90.08%
28 TT KQQTT two pairs 144 0.57% 1 : 173 89.51%
29 99 KQQ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 KQQ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 KQQ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 KQQ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 KQQ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 KQQ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 KQQ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 KQQ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AJ AKQQJ one pair 384 1.53% 1 : 64.2 84.33%
38 AT AKQQT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AKQQ9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AKQQ8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AKQQ7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKQQ6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKQQ5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKQQ4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKQQ3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKQQ2 one pair 384 1.53% 1 : 64.2 70.53%
47 JT KQQJT one pair 384 1.53% 1 : 64.2 69.00%
48 J9 KQQJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 J8 KQQJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 J7 KQQJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 J6 KQQJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 J5 KQQJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 J4 KQQJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 J3 KQQJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 J2 KQQJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 KQQT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 KQQT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 KQQT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 KQQT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 KQQT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 KQQT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 KQQT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 KQQT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 KQQ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 KQQ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 KQQ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 KQQ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 KQQ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 KQQ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 KQQ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 KQQ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 KQQ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 KQQ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 KQQ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 KQQ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 KQQ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 KQQ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 KQQ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 KQQ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 KQQ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 KQQ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KQQ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KQQ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KQQ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KQQ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KQQ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KQQ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KQQ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KQQ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KQQ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KQQ32 one pair 384 1.53% 1 : 64.2 1.53%