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 94444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 99 99944 full house 24 0.10% 1 : 1043 99.98%
3 94 99444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 A9444 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 K9444 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 Q9444 three of a kind 64 0.26% 1 : 390 99.28%
7 J4 J9444 three of a kind 64 0.26% 1 : 390 99.03%
8 T4 T9444 three of a kind 64 0.26% 1 : 390 98.77%
9 84 98444 three of a kind 64 0.26% 1 : 390 98.51%
10 74 97444 three of a kind 64 0.26% 1 : 390 98.26%
11 64 96444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 95444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 94443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 94442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA944 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK944 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ944 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ944 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT944 two pairs 144 0.57% 1 : 173 94.68%
20 A9 A9944 two pairs 144 0.57% 1 : 173 94.11%
21 K9 K9944 two pairs 144 0.57% 1 : 173 93.53%
22 Q9 Q9944 two pairs 144 0.57% 1 : 173 92.96%
23 J9 J9944 two pairs 144 0.57% 1 : 173 92.38%
24 T9 T9944 two pairs 144 0.57% 1 : 173 91.81%
25 98 99844 two pairs 144 0.57% 1 : 173 91.23%
26 97 99744 two pairs 144 0.57% 1 : 173 90.66%
27 96 99644 two pairs 144 0.57% 1 : 173 90.08%
28 95 99544 two pairs 144 0.57% 1 : 173 89.51%
29 93 99443 two pairs 144 0.57% 1 : 173 88.93%
30 92 99442 two pairs 144 0.57% 1 : 173 88.36%
31 88 98844 two pairs 144 0.57% 1 : 173 87.78%
32 77 97744 two pairs 144 0.57% 1 : 173 87.21%
33 66 96644 two pairs 144 0.57% 1 : 173 86.63%
34 55 95544 two pairs 144 0.57% 1 : 173 86.06%
35 33 94433 two pairs 144 0.57% 1 : 173 85.48%
36 22 94422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK944 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ944 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ944 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT944 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9844 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9744 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A9644 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A9544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9442 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ944 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ944 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT944 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9844 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9744 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K9644 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K9544 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9442 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ944 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT944 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9844 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9744 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q9644 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q9544 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9443 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9442 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT944 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9844 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9744 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J9644 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J9544 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9443 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9442 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9844 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9744 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T9644 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T9544 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9443 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9442 one pair 384 1.53% 1 : 64.2 24.53%
77 87 98744 one pair 384 1.53% 1 : 64.2 23.00%
78 86 98644 one pair 384 1.53% 1 : 64.2 21.47%
79 85 98544 one pair 384 1.53% 1 : 64.2 19.93%
80 83 98443 one pair 384 1.53% 1 : 64.2 18.40%
81 82 98442 one pair 384 1.53% 1 : 64.2 16.87%
82 76 97644 one pair 384 1.53% 1 : 64.2 15.33%
83 75 97544 one pair 384 1.53% 1 : 64.2 13.80%
84 73 97443 one pair 384 1.53% 1 : 64.2 12.27%
85 72 97442 one pair 384 1.53% 1 : 64.2 10.73%
86 65 96544 one pair 384 1.53% 1 : 64.2 9.20%
87 63 96443 one pair 384 1.53% 1 : 64.2 7.67%
88 62 96442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 95443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 95442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 94432 one pair 384 1.53% 1 : 64.2 1.53%