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 KK KKKK3 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 K3 KKK33 full house 24 0.10% 1 : 1043 99.98%
3 33 KK333 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKK3 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQ3 three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJ3 three of a kind 64 0.26% 1 : 390 99.28%
7 KT KKKT3 three of a kind 64 0.26% 1 : 390 99.03%
8 K9 KKK93 three of a kind 64 0.26% 1 : 390 98.77%
9 K8 KKK83 three of a kind 64 0.26% 1 : 390 98.51%
10 K7 KKK73 three of a kind 64 0.26% 1 : 390 98.26%
11 K6 KKK63 three of a kind 64 0.26% 1 : 390 98.00%
12 K5 KKK53 three of a kind 64 0.26% 1 : 390 97.75%
13 K4 KKK43 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKK32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKK3 two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQ3 two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJ3 two pairs 144 0.57% 1 : 173 95.83%
18 TT KKTT3 two pairs 144 0.57% 1 : 173 95.26%
19 99 KK993 two pairs 144 0.57% 1 : 173 94.68%
20 88 KK883 two pairs 144 0.57% 1 : 173 94.11%
21 77 KK773 two pairs 144 0.57% 1 : 173 93.53%
22 66 KK663 two pairs 144 0.57% 1 : 173 92.96%
23 55 KK553 two pairs 144 0.57% 1 : 173 92.38%
24 44 KK443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 AKK33 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 KKQ33 two pairs 144 0.57% 1 : 173 90.66%
27 J3 KKJ33 two pairs 144 0.57% 1 : 173 90.08%
28 T3 KKT33 two pairs 144 0.57% 1 : 173 89.51%
29 93 KK933 two pairs 144 0.57% 1 : 173 88.93%
30 83 KK833 two pairs 144 0.57% 1 : 173 88.36%
31 73 KK733 two pairs 144 0.57% 1 : 173 87.78%
32 63 KK633 two pairs 144 0.57% 1 : 173 87.21%
33 53 KK533 two pairs 144 0.57% 1 : 173 86.63%
34 43 KK433 two pairs 144 0.57% 1 : 173 86.06%
35 32 KK332 two pairs 144 0.57% 1 : 173 85.48%
36 22 KK322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQ3 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJ3 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKKT3 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AKK93 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AKK83 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AKK73 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AKK63 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AKK53 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AKK43 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKK32 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJ3 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KKQT3 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KKQ93 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KKQ83 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KKQ73 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 KKQ63 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 KKQ53 one pair 384 1.53% 1 : 64.2 59.80%
54 Q4 KKQ43 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQ32 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KKJT3 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KKJ93 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KKJ83 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KKJ73 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 KKJ63 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 KKJ53 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 KKJ43 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KKJ32 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KKT93 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KKT83 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KKT73 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 KKT63 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 KKT53 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 KKT43 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KKT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 KK983 one pair 384 1.53% 1 : 64.2 32.20%
72 97 KK973 one pair 384 1.53% 1 : 64.2 30.67%
73 96 KK963 one pair 384 1.53% 1 : 64.2 29.13%
74 95 KK953 one pair 384 1.53% 1 : 64.2 27.60%
75 94 KK943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 KK932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 KK873 one pair 384 1.53% 1 : 64.2 23.00%
78 86 KK863 one pair 384 1.53% 1 : 64.2 21.47%
79 85 KK853 one pair 384 1.53% 1 : 64.2 19.93%
80 84 KK843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 KK832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 KK763 one pair 384 1.53% 1 : 64.2 15.33%
83 75 KK753 one pair 384 1.53% 1 : 64.2 13.80%
84 74 KK743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 KK732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 KK653 one pair 384 1.53% 1 : 64.2 9.20%
87 64 KK643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 KK632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 KK543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 KK532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 KK432 one pair 384 1.53% 1 : 64.2 1.53%