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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 99995 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 95 99955 full house 24 0.10% 1 : 1043 99.98%
3 55 99555 full house 24 0.10% 1 : 1043 99.89%
 
4 A9 A9995 three of a kind 64 0.26% 1 : 390 99.79%
5 K9 K9995 three of a kind 64 0.26% 1 : 390 99.54%
6 Q9 Q9995 three of a kind 64 0.26% 1 : 390 99.28%
7 J9 J9995 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 T9995 three of a kind 64 0.26% 1 : 390 98.77%
9 98 99985 three of a kind 64 0.26% 1 : 390 98.51%
10 97 99975 three of a kind 64 0.26% 1 : 390 98.26%
11 96 99965 three of a kind 64 0.26% 1 : 390 98.00%
12 94 99954 three of a kind 64 0.26% 1 : 390 97.75%
13 93 99953 three of a kind 64 0.26% 1 : 390 97.49%
14 92 99952 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA995 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK995 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ995 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ995 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT995 two pairs 144 0.57% 1 : 173 94.68%
20 88 99885 two pairs 144 0.57% 1 : 173 94.11%
21 77 99775 two pairs 144 0.57% 1 : 173 93.53%
22 66 99665 two pairs 144 0.57% 1 : 173 92.96%
23 A5 A9955 two pairs 144 0.57% 1 : 173 92.38%
24 K5 K9955 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 Q9955 two pairs 144 0.57% 1 : 173 91.23%
26 J5 J9955 two pairs 144 0.57% 1 : 173 90.66%
27 T5 T9955 two pairs 144 0.57% 1 : 173 90.08%
28 85 99855 two pairs 144 0.57% 1 : 173 89.51%
29 75 99755 two pairs 144 0.57% 1 : 173 88.93%
30 65 99655 two pairs 144 0.57% 1 : 173 88.36%
31 54 99554 two pairs 144 0.57% 1 : 173 87.78%
32 53 99553 two pairs 144 0.57% 1 : 173 87.21%
33 52 99552 two pairs 144 0.57% 1 : 173 86.63%
34 44 99544 two pairs 144 0.57% 1 : 173 86.06%
35 33 99533 two pairs 144 0.57% 1 : 173 85.48%
36 22 99522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK995 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ995 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ995 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT995 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 A9985 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A9975 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A9965 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A9954 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A9953 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A9952 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ995 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ995 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT995 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 K9985 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K9975 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K9965 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K9954 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K9953 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K9952 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ995 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT995 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 Q9985 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q9975 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q9965 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q9954 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q9953 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q9952 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT995 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 J9985 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J9975 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J9965 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J9954 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J9953 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J9952 one pair 384 1.53% 1 : 64.2 33.73%
71 T8 T9985 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T9975 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T9965 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T9954 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T9953 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T9952 one pair 384 1.53% 1 : 64.2 24.53%
77 87 99875 one pair 384 1.53% 1 : 64.2 23.00%
78 86 99865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 99854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 99853 one pair 384 1.53% 1 : 64.2 18.40%
81 82 99852 one pair 384 1.53% 1 : 64.2 16.87%
82 76 99765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 99754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 99753 one pair 384 1.53% 1 : 64.2 12.27%
85 72 99752 one pair 384 1.53% 1 : 64.2 10.73%
86 64 99654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 99653 one pair 384 1.53% 1 : 64.2 7.67%
88 62 99652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 99543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 99542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 99532 one pair 384 1.53% 1 : 64.2 1.53%