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 AA AAAA4 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 A4 AAA44 full house 24 0.10% 1 : 1043 99.98%
3 44 AA444 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AAAK4 three of a kind 64 0.26% 1 : 390 99.79%
5 AQ AAAQ4 three of a kind 64 0.26% 1 : 390 99.54%
6 AJ AAAJ4 three of a kind 64 0.26% 1 : 390 99.28%
7 AT AAAT4 three of a kind 64 0.26% 1 : 390 99.03%
8 A9 AAA94 three of a kind 64 0.26% 1 : 390 98.77%
9 A8 AAA84 three of a kind 64 0.26% 1 : 390 98.51%
10 A7 AAA74 three of a kind 64 0.26% 1 : 390 98.26%
11 A6 AAA64 three of a kind 64 0.26% 1 : 390 98.00%
12 A5 AAA54 three of a kind 64 0.26% 1 : 390 97.75%
13 A3 AAA43 three of a kind 64 0.26% 1 : 390 97.49%
14 A2 AAA42 three of a kind 64 0.26% 1 : 390 97.24%
 
15 KK AAKK4 two pairs 144 0.57% 1 : 173 96.98%
16 QQ AAQQ4 two pairs 144 0.57% 1 : 173 96.41%
17 JJ AAJJ4 two pairs 144 0.57% 1 : 173 95.83%
18 TT AATT4 two pairs 144 0.57% 1 : 173 95.26%
19 99 AA994 two pairs 144 0.57% 1 : 173 94.68%
20 88 AA884 two pairs 144 0.57% 1 : 173 94.11%
21 77 AA774 two pairs 144 0.57% 1 : 173 93.53%
22 66 AA664 two pairs 144 0.57% 1 : 173 92.96%
23 55 AA554 two pairs 144 0.57% 1 : 173 92.38%
24 K4 AAK44 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 AAQ44 two pairs 144 0.57% 1 : 173 91.23%
26 J4 AAJ44 two pairs 144 0.57% 1 : 173 90.66%
27 T4 AAT44 two pairs 144 0.57% 1 : 173 90.08%
28 94 AA944 two pairs 144 0.57% 1 : 173 89.51%
29 84 AA844 two pairs 144 0.57% 1 : 173 88.93%
30 74 AA744 two pairs 144 0.57% 1 : 173 88.36%
31 64 AA644 two pairs 144 0.57% 1 : 173 87.78%
32 54 AA544 two pairs 144 0.57% 1 : 173 87.21%
33 43 AA443 two pairs 144 0.57% 1 : 173 86.63%
34 42 AA442 two pairs 144 0.57% 1 : 173 86.06%
35 33 AA433 two pairs 144 0.57% 1 : 173 85.48%
36 22 AA422 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AAKQ4 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AAKJ4 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AAKT4 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AAK94 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AAK84 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AAK74 one pair 384 1.53% 1 : 64.2 76.67%
43 K6 AAK64 one pair 384 1.53% 1 : 64.2 75.13%
44 K5 AAK54 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AAK43 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AAK42 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AAQJ4 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AAQT4 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AAQ94 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AAQ84 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AAQ74 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 AAQ64 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 AAQ54 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AAQ43 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AAQ42 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AAJT4 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AAJ94 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AAJ84 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AAJ74 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 AAJ64 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 AAJ54 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AAJ43 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AAJ42 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AAT94 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AAT84 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AAT74 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 AAT64 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 AAT54 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AAT43 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AAT42 one pair 384 1.53% 1 : 64.2 33.73%
71 98 AA984 one pair 384 1.53% 1 : 64.2 32.20%
72 97 AA974 one pair 384 1.53% 1 : 64.2 30.67%
73 96 AA964 one pair 384 1.53% 1 : 64.2 29.13%
74 95 AA954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 AA943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 AA942 one pair 384 1.53% 1 : 64.2 24.53%
77 87 AA874 one pair 384 1.53% 1 : 64.2 23.00%
78 86 AA864 one pair 384 1.53% 1 : 64.2 21.47%
79 85 AA854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 AA843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 AA842 one pair 384 1.53% 1 : 64.2 16.87%
82 76 AA764 one pair 384 1.53% 1 : 64.2 15.33%
83 75 AA754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 AA743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 AA742 one pair 384 1.53% 1 : 64.2 10.73%
86 65 AA654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 AA643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 AA642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 AA543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 AA542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 AA432 one pair 384 1.53% 1 : 64.2 1.53%