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 44 44442 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 42 44422 full house 24 0.10% 1 : 1043 99.98%
3 22 44222 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 A4442 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 K4442 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 Q4442 three of a kind 64 0.26% 1 : 390 99.28%
7 J4 J4442 three of a kind 64 0.26% 1 : 390 99.03%
8 T4 T4442 three of a kind 64 0.26% 1 : 390 98.77%
9 94 94442 three of a kind 64 0.26% 1 : 390 98.51%
10 84 84442 three of a kind 64 0.26% 1 : 390 98.26%
11 74 74442 three of a kind 64 0.26% 1 : 390 98.00%
12 64 64442 three of a kind 64 0.26% 1 : 390 97.75%
13 54 54442 three of a kind 64 0.26% 1 : 390 97.49%
14 43 44432 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA442 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK442 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ442 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ442 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT442 two pairs 144 0.57% 1 : 173 94.68%
20 99 99442 two pairs 144 0.57% 1 : 173 94.11%
21 88 88442 two pairs 144 0.57% 1 : 173 93.53%
22 77 77442 two pairs 144 0.57% 1 : 173 92.96%
23 66 66442 two pairs 144 0.57% 1 : 173 92.38%
24 55 55442 two pairs 144 0.57% 1 : 173 91.81%
25 33 44332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 A4422 two pairs 144 0.57% 1 : 173 90.66%
27 K2 K4422 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 Q4422 two pairs 144 0.57% 1 : 173 89.51%
29 J2 J4422 two pairs 144 0.57% 1 : 173 88.93%
30 T2 T4422 two pairs 144 0.57% 1 : 173 88.36%
31 92 94422 two pairs 144 0.57% 1 : 173 87.78%
32 82 84422 two pairs 144 0.57% 1 : 173 87.21%
33 72 74422 two pairs 144 0.57% 1 : 173 86.63%
34 62 64422 two pairs 144 0.57% 1 : 173 86.06%
35 52 54422 two pairs 144 0.57% 1 : 173 85.48%
36 32 44322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK442 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ442 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ442 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT442 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9442 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8442 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7442 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6442 one pair 384 1.53% 1 : 64.2 73.60%
45 A5 A5442 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 A4432 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ442 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ442 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT442 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9442 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8442 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7442 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6442 one pair 384 1.53% 1 : 64.2 59.80%
54 K5 K5442 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 K4432 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ442 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT442 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9442 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8442 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7442 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6442 one pair 384 1.53% 1 : 64.2 47.53%
62 Q5 Q5442 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 Q4432 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT442 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9442 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8442 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7442 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6442 one pair 384 1.53% 1 : 64.2 36.80%
69 J5 J5442 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 J4432 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9442 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8442 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7442 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6442 one pair 384 1.53% 1 : 64.2 27.60%
75 T5 T5442 one pair 384 1.53% 1 : 64.2 26.07%
76 T3 T4432 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98442 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97442 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96442 one pair 384 1.53% 1 : 64.2 19.93%
80 95 95442 one pair 384 1.53% 1 : 64.2 18.40%
81 93 94432 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87442 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86442 one pair 384 1.53% 1 : 64.2 13.80%
84 85 85442 one pair 384 1.53% 1 : 64.2 12.27%
85 83 84432 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76442 one pair 384 1.53% 1 : 64.2 9.20%
87 75 75442 one pair 384 1.53% 1 : 64.2 7.67%
88 73 74432 one pair 384 1.53% 1 : 64.2 6.13%
89 65 65442 one pair 384 1.53% 1 : 64.2 4.60%
90 63 64432 one pair 384 1.53% 1 : 64.2 3.07%
91 53 54432 one pair 384 1.53% 1 : 64.2 1.53%