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 99 J9999 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJ99 full house 24 0.10% 1 : 1043 99.98%
3 J9 JJ999 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 AJ999 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 KJ999 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 QJ999 three of a kind 64 0.26% 1 : 390 99.28%
7 T9 JT999 three of a kind 64 0.26% 1 : 390 99.03%
8 98 J9998 three of a kind 64 0.26% 1 : 390 98.77%
9 97 J9997 three of a kind 64 0.26% 1 : 390 98.51%
10 96 J9996 three of a kind 64 0.26% 1 : 390 98.26%
11 95 J9995 three of a kind 64 0.26% 1 : 390 98.00%
12 94 J9994 three of a kind 64 0.26% 1 : 390 97.75%
13 93 J9993 three of a kind 64 0.26% 1 : 390 97.49%
14 92 J9992 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJ99 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJ99 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJ99 two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJ99 two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJ99 two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJ99 two pairs 144 0.57% 1 : 173 94.11%
21 JT JJT99 two pairs 144 0.57% 1 : 173 93.53%
22 J8 JJ998 two pairs 144 0.57% 1 : 173 92.96%
23 J7 JJ997 two pairs 144 0.57% 1 : 173 92.38%
24 J6 JJ996 two pairs 144 0.57% 1 : 173 91.81%
25 J5 JJ995 two pairs 144 0.57% 1 : 173 91.23%
26 J4 JJ994 two pairs 144 0.57% 1 : 173 90.66%
27 J3 JJ993 two pairs 144 0.57% 1 : 173 90.08%
28 J2 JJ992 two pairs 144 0.57% 1 : 173 89.51%
29 TT JTT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 J9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 J9977 two pairs 144 0.57% 1 : 173 87.78%
32 66 J9966 two pairs 144 0.57% 1 : 173 87.21%
33 55 J9955 two pairs 144 0.57% 1 : 173 86.63%
34 44 J9944 two pairs 144 0.57% 1 : 173 86.06%
35 33 J9933 two pairs 144 0.57% 1 : 173 85.48%
36 22 J9922 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJ99 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJ99 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJT99 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AJ998 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AJ997 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AJ996 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AJ995 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AJ994 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AJ993 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJ992 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJ99 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJT99 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KJ998 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KJ997 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KJ996 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KJ995 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KJ994 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KJ993 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJ992 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJT99 one pair 384 1.53% 1 : 64.2 55.20%
57 Q8 QJ998 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QJ997 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QJ996 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QJ995 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QJ994 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QJ993 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJ992 one pair 384 1.53% 1 : 64.2 44.47%
64 T8 JT998 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 JT997 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 JT996 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 JT995 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 JT994 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 JT993 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JT992 one pair 384 1.53% 1 : 64.2 33.73%
71 87 J9987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 J9986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 J9985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 J9984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 J9983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 J9982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 J9976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 J9975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 J9974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 J9973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 J9972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 J9965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 J9964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 J9963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 J9962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 J9954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 J9953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 J9952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 J9943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 J9942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 J9932 one pair 384 1.53% 1 : 64.2 1.53%