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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 A5555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAA55 full house 24 0.10% 1 : 1043 99.98%
3 A5 AA555 full house 24 0.10% 1 : 1043 99.89%
 
4 K5 AK555 three of a kind 64 0.26% 1 : 390 99.79%
5 Q5 AQ555 three of a kind 64 0.26% 1 : 390 99.54%
6 J5 AJ555 three of a kind 64 0.26% 1 : 390 99.28%
7 T5 AT555 three of a kind 64 0.26% 1 : 390 99.03%
8 95 A9555 three of a kind 64 0.26% 1 : 390 98.77%
9 85 A8555 three of a kind 64 0.26% 1 : 390 98.51%
10 75 A7555 three of a kind 64 0.26% 1 : 390 98.26%
11 65 A6555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 A5554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 A5553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 A5552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAK55 two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQ55 two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJ55 two pairs 144 0.57% 1 : 173 95.83%
18 AT AAT55 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AA955 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AA855 two pairs 144 0.57% 1 : 173 94.11%
21 A7 AA755 two pairs 144 0.57% 1 : 173 93.53%
22 A6 AA655 two pairs 144 0.57% 1 : 173 92.96%
23 A4 AA554 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AA553 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AA552 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKK55 two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQ55 two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJ55 two pairs 144 0.57% 1 : 173 89.51%
29 TT ATT55 two pairs 144 0.57% 1 : 173 88.93%
30 99 A9955 two pairs 144 0.57% 1 : 173 88.36%
31 88 A8855 two pairs 144 0.57% 1 : 173 87.78%
32 77 A7755 two pairs 144 0.57% 1 : 173 87.21%
33 66 A6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 A5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 A5533 two pairs 144 0.57% 1 : 173 85.48%
36 22 A5522 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQ55 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJ55 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AKT55 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AK955 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AK855 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AK755 one pair 384 1.53% 1 : 64.2 76.67%
43 K6 AK655 one pair 384 1.53% 1 : 64.2 75.13%
44 K4 AK554 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AK553 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AK552 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJ55 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AQT55 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AQ955 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AQ855 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AQ755 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 AQ655 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 AQ554 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AQ553 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQ552 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AJT55 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AJ955 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AJ855 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AJ755 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 AJ655 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 AJ554 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AJ553 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AJ552 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AT955 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AT855 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AT755 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 AT655 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 AT554 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AT553 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AT552 one pair 384 1.53% 1 : 64.2 33.73%
71 98 A9855 one pair 384 1.53% 1 : 64.2 32.20%
72 97 A9755 one pair 384 1.53% 1 : 64.2 30.67%
73 96 A9655 one pair 384 1.53% 1 : 64.2 29.13%
74 94 A9554 one pair 384 1.53% 1 : 64.2 27.60%
75 93 A9553 one pair 384 1.53% 1 : 64.2 26.07%
76 92 A9552 one pair 384 1.53% 1 : 64.2 24.53%
77 87 A8755 one pair 384 1.53% 1 : 64.2 23.00%
78 86 A8655 one pair 384 1.53% 1 : 64.2 21.47%
79 84 A8554 one pair 384 1.53% 1 : 64.2 19.93%
80 83 A8553 one pair 384 1.53% 1 : 64.2 18.40%
81 82 A8552 one pair 384 1.53% 1 : 64.2 16.87%
82 76 A7655 one pair 384 1.53% 1 : 64.2 15.33%
83 74 A7554 one pair 384 1.53% 1 : 64.2 13.80%
84 73 A7553 one pair 384 1.53% 1 : 64.2 12.27%
85 72 A7552 one pair 384 1.53% 1 : 64.2 10.73%
86 64 A6554 one pair 384 1.53% 1 : 64.2 9.20%
87 63 A6553 one pair 384 1.53% 1 : 64.2 7.67%
88 62 A6552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 A5543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 A5542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 A5532 one pair 384 1.53% 1 : 64.2 1.53%