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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 Q9999 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQ99 full house 24 0.10% 1 : 1043 99.98%
3 Q9 QQ999 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 AQ999 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 KQ999 three of a kind 64 0.26% 1 : 390 99.54%
6 J9 QJ999 three of a kind 64 0.26% 1 : 390 99.28%
7 T9 QT999 three of a kind 64 0.26% 1 : 390 99.03%
8 98 Q9998 three of a kind 64 0.26% 1 : 390 98.77%
9 97 Q9997 three of a kind 64 0.26% 1 : 390 98.51%
10 96 Q9996 three of a kind 64 0.26% 1 : 390 98.26%
11 95 Q9995 three of a kind 64 0.26% 1 : 390 98.00%
12 94 Q9994 three of a kind 64 0.26% 1 : 390 97.75%
13 93 Q9993 three of a kind 64 0.26% 1 : 390 97.49%
14 92 Q9992 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQ99 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQ99 two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQ99 two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQ99 two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJ99 two pairs 144 0.57% 1 : 173 94.68%
20 QT QQT99 two pairs 144 0.57% 1 : 173 94.11%
21 Q8 QQ998 two pairs 144 0.57% 1 : 173 93.53%
22 Q7 QQ997 two pairs 144 0.57% 1 : 173 92.96%
23 Q6 QQ996 two pairs 144 0.57% 1 : 173 92.38%
24 Q5 QQ995 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 QQ994 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 QQ993 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQ992 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJ99 two pairs 144 0.57% 1 : 173 89.51%
29 TT QTT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 Q9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 Q9977 two pairs 144 0.57% 1 : 173 87.78%
32 66 Q9966 two pairs 144 0.57% 1 : 173 87.21%
33 55 Q9955 two pairs 144 0.57% 1 : 173 86.63%
34 44 Q9944 two pairs 144 0.57% 1 : 173 86.06%
35 33 Q9933 two pairs 144 0.57% 1 : 173 85.48%
36 22 Q9922 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQ99 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJ99 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQT99 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AQ998 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AQ997 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQ996 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQ995 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQ994 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQ993 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQ992 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJ99 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQT99 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KQ998 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KQ997 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQ996 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQ995 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQ994 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQ993 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQ992 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QJT99 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 QJ998 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 QJ997 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 QJ996 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QJ995 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QJ994 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QJ993 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QJ992 one pair 384 1.53% 1 : 64.2 44.47%
64 T8 QT998 one pair 384 1.53% 1 : 64.2 42.93%
65 T7 QT997 one pair 384 1.53% 1 : 64.2 41.40%
66 T6 QT996 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 QT995 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QT994 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QT993 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QT992 one pair 384 1.53% 1 : 64.2 33.73%
71 87 Q9987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 Q9986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 Q9985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 Q9984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 Q9983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 Q9982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 Q9976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 Q9975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 Q9974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 Q9973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 Q9972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 Q9965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 Q9964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 Q9963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 Q9962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 Q9954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 Q9953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 Q9952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 Q9943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 Q9942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 Q9932 one pair 384 1.53% 1 : 64.2 1.53%