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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 33 A3333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAA33 full house 24 0.10% 1 : 1043 99.98%
3 A3 AA333 full house 24 0.10% 1 : 1043 99.89%
 
4 K3 AK333 three of a kind 64 0.26% 1 : 390 99.79%
5 Q3 AQ333 three of a kind 64 0.26% 1 : 390 99.54%
6 J3 AJ333 three of a kind 64 0.26% 1 : 390 99.28%
7 T3 AT333 three of a kind 64 0.26% 1 : 390 99.03%
8 93 A9333 three of a kind 64 0.26% 1 : 390 98.77%
9 83 A8333 three of a kind 64 0.26% 1 : 390 98.51%
10 73 A7333 three of a kind 64 0.26% 1 : 390 98.26%
11 63 A6333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 A5333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 A4333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 A3332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAK33 two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQ33 two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJ33 two pairs 144 0.57% 1 : 173 95.83%
18 AT AAT33 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AA933 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AA833 two pairs 144 0.57% 1 : 173 94.11%
21 A7 AA733 two pairs 144 0.57% 1 : 173 93.53%
22 A6 AA633 two pairs 144 0.57% 1 : 173 92.96%
23 A5 AA533 two pairs 144 0.57% 1 : 173 92.38%
24 A4 AA433 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AA332 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKK33 two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQ33 two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJ33 two pairs 144 0.57% 1 : 173 89.51%
29 TT ATT33 two pairs 144 0.57% 1 : 173 88.93%
30 99 A9933 two pairs 144 0.57% 1 : 173 88.36%
31 88 A8833 two pairs 144 0.57% 1 : 173 87.78%
32 77 A7733 two pairs 144 0.57% 1 : 173 87.21%
33 66 A6633 two pairs 144 0.57% 1 : 173 86.63%
34 55 A5533 two pairs 144 0.57% 1 : 173 86.06%
35 44 A4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 A3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQ33 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJ33 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AKT33 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AK933 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AK833 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AK733 one pair 384 1.53% 1 : 64.2 76.67%
43 K6 AK633 one pair 384 1.53% 1 : 64.2 75.13%
44 K5 AK533 one pair 384 1.53% 1 : 64.2 73.60%
45 K4 AK433 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AK332 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJ33 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AQT33 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AQ933 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AQ833 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AQ733 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 AQ633 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 AQ533 one pair 384 1.53% 1 : 64.2 59.80%
54 Q4 AQ433 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQ332 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AJT33 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AJ933 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AJ833 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AJ733 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 AJ633 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 AJ533 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 AJ433 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AJ332 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AT933 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AT833 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AT733 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 AT633 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 AT533 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 AT433 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AT332 one pair 384 1.53% 1 : 64.2 33.73%
71 98 A9833 one pair 384 1.53% 1 : 64.2 32.20%
72 97 A9733 one pair 384 1.53% 1 : 64.2 30.67%
73 96 A9633 one pair 384 1.53% 1 : 64.2 29.13%
74 95 A9533 one pair 384 1.53% 1 : 64.2 27.60%
75 94 A9433 one pair 384 1.53% 1 : 64.2 26.07%
76 92 A9332 one pair 384 1.53% 1 : 64.2 24.53%
77 87 A8733 one pair 384 1.53% 1 : 64.2 23.00%
78 86 A8633 one pair 384 1.53% 1 : 64.2 21.47%
79 85 A8533 one pair 384 1.53% 1 : 64.2 19.93%
80 84 A8433 one pair 384 1.53% 1 : 64.2 18.40%
81 82 A8332 one pair 384 1.53% 1 : 64.2 16.87%
82 76 A7633 one pair 384 1.53% 1 : 64.2 15.33%
83 75 A7533 one pair 384 1.53% 1 : 64.2 13.80%
84 74 A7433 one pair 384 1.53% 1 : 64.2 12.27%
85 72 A7332 one pair 384 1.53% 1 : 64.2 10.73%
86 65 A6533 one pair 384 1.53% 1 : 64.2 9.20%
87 64 A6433 one pair 384 1.53% 1 : 64.2 7.67%
88 62 A6332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 A5433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 A5332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 A4332 one pair 384 1.53% 1 : 64.2 1.53%