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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 99996 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 96 99966 full house 24 0.10% 1 : 1043 99.98%
3 66 99666 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 A9996 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 K9996 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 Q9996 three of a kind 64 0.26% 1 : 390 99.28%
7 J9 J9996 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 T9996 three of a kind 64 0.26% 1 : 390 98.77%
9 98 99986 three of a kind 64 0.26% 1 : 390 98.51%
10 97 99976 three of a kind 64 0.26% 1 : 390 98.26%
11 95 99965 three of a kind 64 0.26% 1 : 390 98.00%
12 94 99964 three of a kind 64 0.26% 1 : 390 97.75%
13 93 99963 three of a kind 64 0.26% 1 : 390 97.49%
14 92 99962 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA996 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK996 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ996 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ996 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT996 two pairs 144 0.57% 1 : 173 94.68%
20 88 99886 two pairs 144 0.57% 1 : 173 94.11%
21 77 99776 two pairs 144 0.57% 1 : 173 93.53%
22 A6 A9966 two pairs 144 0.57% 1 : 173 92.96%
23 K6 K9966 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 Q9966 two pairs 144 0.57% 1 : 173 91.81%
25 J6 J9966 two pairs 144 0.57% 1 : 173 91.23%
26 T6 T9966 two pairs 144 0.57% 1 : 173 90.66%
27 86 99866 two pairs 144 0.57% 1 : 173 90.08%
28 76 99766 two pairs 144 0.57% 1 : 173 89.51%
29 65 99665 two pairs 144 0.57% 1 : 173 88.93%
30 64 99664 two pairs 144 0.57% 1 : 173 88.36%
31 63 99663 two pairs 144 0.57% 1 : 173 87.78%
32 62 99662 two pairs 144 0.57% 1 : 173 87.21%
33 55 99655 two pairs 144 0.57% 1 : 173 86.63%
34 44 99644 two pairs 144 0.57% 1 : 173 86.06%
35 33 99633 two pairs 144 0.57% 1 : 173 85.48%
36 22 99622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK996 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ996 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ996 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT996 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9986 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9976 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A9965 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A9964 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9963 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9962 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ996 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ996 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT996 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9986 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9976 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K9965 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K9964 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9963 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9962 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ996 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT996 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9986 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9976 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q9965 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q9964 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9963 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9962 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT996 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9986 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9976 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J9965 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J9964 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9963 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9962 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9986 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9976 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T9965 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T9964 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9963 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9962 one pair 384 1.53% 1 : 64.2 24.53%
77 87 99876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 99865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 99864 one pair 384 1.53% 1 : 64.2 19.93%
80 83 99863 one pair 384 1.53% 1 : 64.2 18.40%
81 82 99862 one pair 384 1.53% 1 : 64.2 16.87%
82 75 99765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 99764 one pair 384 1.53% 1 : 64.2 13.80%
84 73 99763 one pair 384 1.53% 1 : 64.2 12.27%
85 72 99762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 99654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 99653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 99652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 99643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 99642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 99632 one pair 384 1.53% 1 : 64.2 1.53%