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 QQQQJ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QJ QQQJJ full house 24 0.10% 1 : 1043 99.98%
3 JJ QQJJJ full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQJ three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQJ three of a kind 64 0.26% 1 : 390 99.54%
6 QT QQQJT three of a kind 64 0.26% 1 : 390 99.28%
7 Q9 QQQJ9 three of a kind 64 0.26% 1 : 390 99.03%
8 Q8 QQQJ8 three of a kind 64 0.26% 1 : 390 98.77%
9 Q7 QQQJ7 three of a kind 64 0.26% 1 : 390 98.51%
10 Q6 QQQJ6 three of a kind 64 0.26% 1 : 390 98.26%
11 Q5 QQQJ5 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 QQQJ4 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 QQQJ3 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQJ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQJ two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQJ two pairs 144 0.57% 1 : 173 96.41%
17 AJ AQQJJ two pairs 144 0.57% 1 : 173 95.83%
18 KJ KQQJJ two pairs 144 0.57% 1 : 173 95.26%
19 JT QQJJT two pairs 144 0.57% 1 : 173 94.68%
20 J9 QQJJ9 two pairs 144 0.57% 1 : 173 94.11%
21 J8 QQJJ8 two pairs 144 0.57% 1 : 173 93.53%
22 J7 QQJJ7 two pairs 144 0.57% 1 : 173 92.96%
23 J6 QQJJ6 two pairs 144 0.57% 1 : 173 92.38%
24 J5 QQJJ5 two pairs 144 0.57% 1 : 173 91.81%
25 J4 QQJJ4 two pairs 144 0.57% 1 : 173 91.23%
26 J3 QQJJ3 two pairs 144 0.57% 1 : 173 90.66%
27 J2 QQJJ2 two pairs 144 0.57% 1 : 173 90.08%
28 TT QQJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 QQJ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 QQJ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 QQJ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 QQJ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 QQJ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 QQJ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 QQJ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQJ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQJ one pair 384 1.53% 1 : 64.2 84.33%
38 AT AQQJT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AQQJ9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AQQJ8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AQQJ7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQQJ6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQQJ5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQQJ4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQQJ3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQJ2 one pair 384 1.53% 1 : 64.2 70.53%
47 KT KQQJT one pair 384 1.53% 1 : 64.2 69.00%
48 K9 KQQJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KQQJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KQQJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQQJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQQJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQQJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQQJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 QQJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 QQJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 QQJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 QQJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 QQJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 QQJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 QQJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 QQJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 QQJ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 QQJ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 QQJ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 QQJ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 QQJ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 QQJ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 QQJ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 QQJ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 QQJ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 QQJ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 QQJ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 QQJ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 QQJ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 QQJ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 QQJ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 QQJ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 QQJ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 QQJ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 QQJ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 QQJ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 QQJ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 QQJ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 QQJ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 QQJ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 QQJ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QQJ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QQJ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QQJ32 one pair 384 1.53% 1 : 64.2 1.53%