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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 T9999 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 TT TTT99 full house 24 0.10% 1 : 1043 99.98%
3 T9 TT999 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 AT999 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 KT999 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 QT999 three of a kind 64 0.26% 1 : 390 99.28%
7 J9 JT999 three of a kind 64 0.26% 1 : 390 99.03%
8 98 T9998 three of a kind 64 0.26% 1 : 390 98.77%
9 97 T9997 three of a kind 64 0.26% 1 : 390 98.51%
10 96 T9996 three of a kind 64 0.26% 1 : 390 98.26%
11 95 T9995 three of a kind 64 0.26% 1 : 390 98.00%
12 94 T9994 three of a kind 64 0.26% 1 : 390 97.75%
13 93 T9993 three of a kind 64 0.26% 1 : 390 97.49%
14 92 T9992 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAT99 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKT99 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQT99 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJT99 two pairs 144 0.57% 1 : 173 95.26%
19 AT ATT99 two pairs 144 0.57% 1 : 173 94.68%
20 KT KTT99 two pairs 144 0.57% 1 : 173 94.11%
21 QT QTT99 two pairs 144 0.57% 1 : 173 93.53%
22 JT JTT99 two pairs 144 0.57% 1 : 173 92.96%
23 T8 TT998 two pairs 144 0.57% 1 : 173 92.38%
24 T7 TT997 two pairs 144 0.57% 1 : 173 91.81%
25 T6 TT996 two pairs 144 0.57% 1 : 173 91.23%
26 T5 TT995 two pairs 144 0.57% 1 : 173 90.66%
27 T4 TT994 two pairs 144 0.57% 1 : 173 90.08%
28 T3 TT993 two pairs 144 0.57% 1 : 173 89.51%
29 T2 TT992 two pairs 144 0.57% 1 : 173 88.93%
30 88 T9988 two pairs 144 0.57% 1 : 173 88.36%
31 77 T9977 two pairs 144 0.57% 1 : 173 87.78%
32 66 T9966 two pairs 144 0.57% 1 : 173 87.21%
33 55 T9955 two pairs 144 0.57% 1 : 173 86.63%
34 44 T9944 two pairs 144 0.57% 1 : 173 86.06%
35 33 T9933 two pairs 144 0.57% 1 : 173 85.48%
36 22 T9922 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKT99 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQT99 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJT99 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AT998 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AT997 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AT996 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AT995 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AT994 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AT993 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AT992 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQT99 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJT99 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KT998 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KT997 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KT996 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KT995 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KT994 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KT993 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KT992 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJT99 one pair 384 1.53% 1 : 64.2 55.20%
57 Q8 QT998 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QT997 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QT996 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QT995 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QT994 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QT993 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QT992 one pair 384 1.53% 1 : 64.2 44.47%
64 J8 JT998 one pair 384 1.53% 1 : 64.2 42.93%
65 J7 JT997 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 JT996 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 JT995 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JT994 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JT993 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JT992 one pair 384 1.53% 1 : 64.2 33.73%
71 87 T9987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 T9986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 T9985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 T9984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 T9983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 T9982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 T9976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 T9975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 T9974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 T9973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 T9972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 T9965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 T9964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 T9963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 T9962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 T9954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 T9953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 T9952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 T9943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 T9942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 T9932 one pair 384 1.53% 1 : 64.2 1.53%