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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 55 55553 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 53 55533 full house 24 0.10% 1 : 1043 99.98%
3 33 55333 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 A5553 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 K5553 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 Q5553 three of a kind 64 0.26% 1 : 390 99.28%
7 J5 J5553 three of a kind 64 0.26% 1 : 390 99.03%
8 T5 T5553 three of a kind 64 0.26% 1 : 390 98.77%
9 95 95553 three of a kind 64 0.26% 1 : 390 98.51%
10 85 85553 three of a kind 64 0.26% 1 : 390 98.26%
11 75 75553 three of a kind 64 0.26% 1 : 390 98.00%
12 65 65553 three of a kind 64 0.26% 1 : 390 97.75%
13 54 55543 three of a kind 64 0.26% 1 : 390 97.49%
14 52 55532 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA553 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK553 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ553 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ553 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT553 two pairs 144 0.57% 1 : 173 94.68%
20 99 99553 two pairs 144 0.57% 1 : 173 94.11%
21 88 88553 two pairs 144 0.57% 1 : 173 93.53%
22 77 77553 two pairs 144 0.57% 1 : 173 92.96%
23 66 66553 two pairs 144 0.57% 1 : 173 92.38%
24 44 55443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 A5533 two pairs 144 0.57% 1 : 173 91.23%
26 K3 K5533 two pairs 144 0.57% 1 : 173 90.66%
27 Q3 Q5533 two pairs 144 0.57% 1 : 173 90.08%
28 J3 J5533 two pairs 144 0.57% 1 : 173 89.51%
29 T3 T5533 two pairs 144 0.57% 1 : 173 88.93%
30 93 95533 two pairs 144 0.57% 1 : 173 88.36%
31 83 85533 two pairs 144 0.57% 1 : 173 87.78%
32 73 75533 two pairs 144 0.57% 1 : 173 87.21%
33 63 65533 two pairs 144 0.57% 1 : 173 86.63%
34 43 55433 two pairs 144 0.57% 1 : 173 86.06%
35 32 55332 two pairs 144 0.57% 1 : 173 85.48%
36 22 55322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK553 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ553 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ553 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT553 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9553 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8553 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7553 one pair 384 1.53% 1 : 64.2 75.13%
44 A6 A6553 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A5543 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A5532 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ553 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ553 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT553 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9553 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8553 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7553 one pair 384 1.53% 1 : 64.2 61.33%
53 K6 K6553 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K5543 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K5532 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ553 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT553 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9553 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8553 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7553 one pair 384 1.53% 1 : 64.2 49.07%
61 Q6 Q6553 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q5543 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q5532 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT553 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9553 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8553 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7553 one pair 384 1.53% 1 : 64.2 38.33%
68 J6 J6553 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J5543 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J5532 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9553 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8553 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7553 one pair 384 1.53% 1 : 64.2 29.13%
74 T6 T6553 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T5543 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T5532 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98553 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97553 one pair 384 1.53% 1 : 64.2 21.47%
79 96 96553 one pair 384 1.53% 1 : 64.2 19.93%
80 94 95543 one pair 384 1.53% 1 : 64.2 18.40%
81 92 95532 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87553 one pair 384 1.53% 1 : 64.2 15.33%
83 86 86553 one pair 384 1.53% 1 : 64.2 13.80%
84 84 85543 one pair 384 1.53% 1 : 64.2 12.27%
85 82 85532 one pair 384 1.53% 1 : 64.2 10.73%
86 76 76553 one pair 384 1.53% 1 : 64.2 9.20%
87 74 75543 one pair 384 1.53% 1 : 64.2 7.67%
88 72 75532 one pair 384 1.53% 1 : 64.2 6.13%
89 64 65543 one pair 384 1.53% 1 : 64.2 4.60%
90 62 65532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 55432 one pair 384 1.53% 1 : 64.2 1.53%