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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 A9999 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAA99 full house 24 0.10% 1 : 1043 99.98%
3 A9 AA999 full house 24 0.10% 1 : 1043 99.89%
 
4 K9 AK999 three of a kind 64 0.26% 1 : 390 99.79%
5 Q9 AQ999 three of a kind 64 0.26% 1 : 390 99.54%
6 J9 AJ999 three of a kind 64 0.26% 1 : 390 99.28%
7 T9 AT999 three of a kind 64 0.26% 1 : 390 99.03%
8 98 A9998 three of a kind 64 0.26% 1 : 390 98.77%
9 97 A9997 three of a kind 64 0.26% 1 : 390 98.51%
10 96 A9996 three of a kind 64 0.26% 1 : 390 98.26%
11 95 A9995 three of a kind 64 0.26% 1 : 390 98.00%
12 94 A9994 three of a kind 64 0.26% 1 : 390 97.75%
13 93 A9993 three of a kind 64 0.26% 1 : 390 97.49%
14 92 A9992 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAK99 two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQ99 two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJ99 two pairs 144 0.57% 1 : 173 95.83%
18 AT AAT99 two pairs 144 0.57% 1 : 173 95.26%
19 A8 AA998 two pairs 144 0.57% 1 : 173 94.68%
20 A7 AA997 two pairs 144 0.57% 1 : 173 94.11%
21 A6 AA996 two pairs 144 0.57% 1 : 173 93.53%
22 A5 AA995 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AA994 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AA993 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AA992 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKK99 two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQ99 two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJ99 two pairs 144 0.57% 1 : 173 89.51%
29 TT ATT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 A9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 A9977 two pairs 144 0.57% 1 : 173 87.78%
32 66 A9966 two pairs 144 0.57% 1 : 173 87.21%
33 55 A9955 two pairs 144 0.57% 1 : 173 86.63%
34 44 A9944 two pairs 144 0.57% 1 : 173 86.06%
35 33 A9933 two pairs 144 0.57% 1 : 173 85.48%
36 22 A9922 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQ99 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJ99 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AKT99 one pair 384 1.53% 1 : 64.2 81.26%
40 K8 AK998 one pair 384 1.53% 1 : 64.2 79.73%
41 K7 AK997 one pair 384 1.53% 1 : 64.2 78.20%
42 K6 AK996 one pair 384 1.53% 1 : 64.2 76.67%
43 K5 AK995 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AK994 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AK993 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AK992 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJ99 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AQT99 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 AQ998 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 AQ997 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 AQ996 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 AQ995 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AQ994 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AQ993 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQ992 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AJT99 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 AJ998 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 AJ997 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 AJ996 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 AJ995 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AJ994 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AJ993 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AJ992 one pair 384 1.53% 1 : 64.2 44.47%
64 T8 AT998 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 AT997 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 AT996 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 AT995 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AT994 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AT993 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AT992 one pair 384 1.53% 1 : 64.2 33.73%
71 87 A9987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 A9986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 A9985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 A9984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 A9983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 A9982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 A9976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 A9975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 A9974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 A9973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 A9972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 A9965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 A9964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 A9963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 A9962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 A9954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 A9953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 A9952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 A9943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 A9942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 A9932 one pair 384 1.53% 1 : 64.2 1.53%