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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 Q5555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQ55 full house 24 0.10% 1 : 1043 99.98%
3 Q5 QQ555 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 AQ555 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 KQ555 three of a kind 64 0.26% 1 : 390 99.54%
6 J5 QJ555 three of a kind 64 0.26% 1 : 390 99.28%
7 T5 QT555 three of a kind 64 0.26% 1 : 390 99.03%
8 95 Q9555 three of a kind 64 0.26% 1 : 390 98.77%
9 85 Q8555 three of a kind 64 0.26% 1 : 390 98.51%
10 75 Q7555 three of a kind 64 0.26% 1 : 390 98.26%
11 65 Q6555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 Q5554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 Q5553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 Q5552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQ55 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQ55 two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQ55 two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQ55 two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJ55 two pairs 144 0.57% 1 : 173 94.68%
20 QT QQT55 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QQ955 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 QQ855 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 QQ755 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 QQ655 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 QQ554 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 QQ553 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQ552 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJ55 two pairs 144 0.57% 1 : 173 89.51%
29 TT QTT55 two pairs 144 0.57% 1 : 173 88.93%
30 99 Q9955 two pairs 144 0.57% 1 : 173 88.36%
31 88 Q8855 two pairs 144 0.57% 1 : 173 87.78%
32 77 Q7755 two pairs 144 0.57% 1 : 173 87.21%
33 66 Q6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 Q5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 Q5533 two pairs 144 0.57% 1 : 173 85.48%
36 22 Q5522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQ55 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJ55 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQT55 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQ955 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQ855 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQ755 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AQ655 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQ554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQ553 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQ552 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJ55 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQT55 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQ955 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQ855 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQ755 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KQ655 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQ554 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQ553 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQ552 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QJT55 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QJ955 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QJ855 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QJ755 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 QJ655 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QJ554 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QJ553 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QJ552 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QT955 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QT855 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QT755 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 QT655 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 QT554 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QT553 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QT552 one pair 384 1.53% 1 : 64.2 33.73%
71 98 Q9855 one pair 384 1.53% 1 : 64.2 32.20%
72 97 Q9755 one pair 384 1.53% 1 : 64.2 30.67%
73 96 Q9655 one pair 384 1.53% 1 : 64.2 29.13%
74 94 Q9554 one pair 384 1.53% 1 : 64.2 27.60%
75 93 Q9553 one pair 384 1.53% 1 : 64.2 26.07%
76 92 Q9552 one pair 384 1.53% 1 : 64.2 24.53%
77 87 Q8755 one pair 384 1.53% 1 : 64.2 23.00%
78 86 Q8655 one pair 384 1.53% 1 : 64.2 21.47%
79 84 Q8554 one pair 384 1.53% 1 : 64.2 19.93%
80 83 Q8553 one pair 384 1.53% 1 : 64.2 18.40%
81 82 Q8552 one pair 384 1.53% 1 : 64.2 16.87%
82 76 Q7655 one pair 384 1.53% 1 : 64.2 15.33%
83 74 Q7554 one pair 384 1.53% 1 : 64.2 13.80%
84 73 Q7553 one pair 384 1.53% 1 : 64.2 12.27%
85 72 Q7552 one pair 384 1.53% 1 : 64.2 10.73%
86 64 Q6554 one pair 384 1.53% 1 : 64.2 9.20%
87 63 Q6553 one pair 384 1.53% 1 : 64.2 7.67%
88 62 Q6552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 Q5543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 Q5542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 Q5532 one pair 384 1.53% 1 : 64.2 1.53%