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 TT ATTTT four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAATT full house 24 0.10% 1 : 1043 99.98%
3 AT AATTT full house 24 0.10% 1 : 1043 99.89%
 
4 KT AKTTT three of a kind 64 0.26% 1 : 390 99.79%
5 QT AQTTT three of a kind 64 0.26% 1 : 390 99.54%
6 JT AJTTT three of a kind 64 0.26% 1 : 390 99.28%
7 T9 ATTT9 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 ATTT8 three of a kind 64 0.26% 1 : 390 98.77%
9 T7 ATTT7 three of a kind 64 0.26% 1 : 390 98.51%
10 T6 ATTT6 three of a kind 64 0.26% 1 : 390 98.26%
11 T5 ATTT5 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 ATTT4 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 ATTT3 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 ATTT2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAKTT two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQTT two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJTT two pairs 144 0.57% 1 : 173 95.83%
18 A9 AATT9 two pairs 144 0.57% 1 : 173 95.26%
19 A8 AATT8 two pairs 144 0.57% 1 : 173 94.68%
20 A7 AATT7 two pairs 144 0.57% 1 : 173 94.11%
21 A6 AATT6 two pairs 144 0.57% 1 : 173 93.53%
22 A5 AATT5 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AATT4 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AATT3 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AATT2 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKKTT two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQTT two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 ATT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 ATT88 two pairs 144 0.57% 1 : 173 88.36%
31 77 ATT77 two pairs 144 0.57% 1 : 173 87.78%
32 66 ATT66 two pairs 144 0.57% 1 : 173 87.21%
33 55 ATT55 two pairs 144 0.57% 1 : 173 86.63%
34 44 ATT44 two pairs 144 0.57% 1 : 173 86.06%
35 33 ATT33 two pairs 144 0.57% 1 : 173 85.48%
36 22 ATT22 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQTT one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJTT one pair 384 1.53% 1 : 64.2 82.80%
39 K9 AKTT9 one pair 384 1.53% 1 : 64.2 81.26%
40 K8 AKTT8 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AKTT7 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AKTT6 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AKTT5 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AKTT4 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AKTT3 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AKTT2 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJTT one pair 384 1.53% 1 : 64.2 69.00%
48 Q9 AQTT9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 AQTT8 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 AQTT7 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AQTT6 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AQTT5 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AQTT4 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AQTT3 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQTT2 one pair 384 1.53% 1 : 64.2 56.73%
56 J9 AJTT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 AJTT8 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 AJTT7 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 AJTT6 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AJTT5 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AJTT4 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AJTT3 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AJTT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 ATT98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 ATT97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 ATT96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 ATT95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 ATT94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 ATT93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 ATT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 ATT87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 ATT86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 ATT85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 ATT84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 ATT83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 ATT82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 ATT76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 ATT75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 ATT74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 ATT73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 ATT72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 ATT65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 ATT64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 ATT63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 ATT62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 ATT54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 ATT53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 ATT52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 ATT43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 ATT42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 ATT32 one pair 384 1.53% 1 : 64.2 1.53%