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 33 83333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 88 88833 full house 24 0.10% 1 : 1043 99.98%
3 83 88333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 A8333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 K8333 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 Q8333 three of a kind 64 0.26% 1 : 390 99.28%
7 J3 J8333 three of a kind 64 0.26% 1 : 390 99.03%
8 T3 T8333 three of a kind 64 0.26% 1 : 390 98.77%
9 93 98333 three of a kind 64 0.26% 1 : 390 98.51%
10 73 87333 three of a kind 64 0.26% 1 : 390 98.26%
11 63 86333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 85333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 84333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 83332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA833 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK833 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ833 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ833 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT833 two pairs 144 0.57% 1 : 173 94.68%
20 99 99833 two pairs 144 0.57% 1 : 173 94.11%
21 A8 A8833 two pairs 144 0.57% 1 : 173 93.53%
22 K8 K8833 two pairs 144 0.57% 1 : 173 92.96%
23 Q8 Q8833 two pairs 144 0.57% 1 : 173 92.38%
24 J8 J8833 two pairs 144 0.57% 1 : 173 91.81%
25 T8 T8833 two pairs 144 0.57% 1 : 173 91.23%
26 98 98833 two pairs 144 0.57% 1 : 173 90.66%
27 87 88733 two pairs 144 0.57% 1 : 173 90.08%
28 86 88633 two pairs 144 0.57% 1 : 173 89.51%
29 85 88533 two pairs 144 0.57% 1 : 173 88.93%
30 84 88433 two pairs 144 0.57% 1 : 173 88.36%
31 82 88332 two pairs 144 0.57% 1 : 173 87.78%
32 77 87733 two pairs 144 0.57% 1 : 173 87.21%
33 66 86633 two pairs 144 0.57% 1 : 173 86.63%
34 55 85533 two pairs 144 0.57% 1 : 173 86.06%
35 44 84433 two pairs 144 0.57% 1 : 173 85.48%
36 22 83322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK833 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ833 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ833 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT833 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9833 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8733 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A8633 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A8533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A8433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ833 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ833 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT833 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9833 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8733 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K8633 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K8533 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K8433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8332 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ833 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT833 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9833 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8733 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q8633 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q8533 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q8433 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8332 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT833 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9833 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8733 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J8633 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J8533 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J8433 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8332 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9833 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8733 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T8633 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T8533 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T8433 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8332 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98733 one pair 384 1.53% 1 : 64.2 23.00%
78 96 98633 one pair 384 1.53% 1 : 64.2 21.47%
79 95 98533 one pair 384 1.53% 1 : 64.2 19.93%
80 94 98433 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98332 one pair 384 1.53% 1 : 64.2 16.87%
82 76 87633 one pair 384 1.53% 1 : 64.2 15.33%
83 75 87533 one pair 384 1.53% 1 : 64.2 13.80%
84 74 87433 one pair 384 1.53% 1 : 64.2 12.27%
85 72 87332 one pair 384 1.53% 1 : 64.2 10.73%
86 65 86533 one pair 384 1.53% 1 : 64.2 9.20%
87 64 86433 one pair 384 1.53% 1 : 64.2 7.67%
88 62 86332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 85433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 85332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 84332 one pair 384 1.53% 1 : 64.2 1.53%