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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 K5555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKK55 full house 24 0.10% 1 : 1043 99.98%
3 K5 KK555 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 AK555 three of a kind 64 0.26% 1 : 390 99.79%
5 Q5 KQ555 three of a kind 64 0.26% 1 : 390 99.54%
6 J5 KJ555 three of a kind 64 0.26% 1 : 390 99.28%
7 T5 KT555 three of a kind 64 0.26% 1 : 390 99.03%
8 95 K9555 three of a kind 64 0.26% 1 : 390 98.77%
9 85 K8555 three of a kind 64 0.26% 1 : 390 98.51%
10 75 K7555 three of a kind 64 0.26% 1 : 390 98.26%
11 65 K6555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 K5554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 K5553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 K5552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAK55 two pairs 144 0.57% 1 : 173 96.98%
16 AK AKK55 two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQ55 two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJ55 two pairs 144 0.57% 1 : 173 95.26%
19 KT KKT55 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KK955 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KK855 two pairs 144 0.57% 1 : 173 93.53%
22 K7 KK755 two pairs 144 0.57% 1 : 173 92.96%
23 K6 KK655 two pairs 144 0.57% 1 : 173 92.38%
24 K4 KK554 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KK553 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KK552 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQ55 two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJ55 two pairs 144 0.57% 1 : 173 89.51%
29 TT KTT55 two pairs 144 0.57% 1 : 173 88.93%
30 99 K9955 two pairs 144 0.57% 1 : 173 88.36%
31 88 K8855 two pairs 144 0.57% 1 : 173 87.78%
32 77 K7755 two pairs 144 0.57% 1 : 173 87.21%
33 66 K6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 K5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 K5533 two pairs 144 0.57% 1 : 173 85.48%
36 22 K5522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQ55 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJ55 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKT55 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AK955 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AK855 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AK755 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AK655 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AK554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AK553 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AK552 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJ55 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KQT55 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KQ955 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KQ855 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KQ755 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 KQ655 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KQ554 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KQ553 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQ552 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KJT55 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KJ955 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KJ855 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KJ755 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 KJ655 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KJ554 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KJ553 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KJ552 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KT955 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KT855 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KT755 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 KT655 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KT554 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KT553 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KT552 one pair 384 1.53% 1 : 64.2 33.73%
71 98 K9855 one pair 384 1.53% 1 : 64.2 32.20%
72 97 K9755 one pair 384 1.53% 1 : 64.2 30.67%
73 96 K9655 one pair 384 1.53% 1 : 64.2 29.13%
74 94 K9554 one pair 384 1.53% 1 : 64.2 27.60%
75 93 K9553 one pair 384 1.53% 1 : 64.2 26.07%
76 92 K9552 one pair 384 1.53% 1 : 64.2 24.53%
77 87 K8755 one pair 384 1.53% 1 : 64.2 23.00%
78 86 K8655 one pair 384 1.53% 1 : 64.2 21.47%
79 84 K8554 one pair 384 1.53% 1 : 64.2 19.93%
80 83 K8553 one pair 384 1.53% 1 : 64.2 18.40%
81 82 K8552 one pair 384 1.53% 1 : 64.2 16.87%
82 76 K7655 one pair 384 1.53% 1 : 64.2 15.33%
83 74 K7554 one pair 384 1.53% 1 : 64.2 13.80%
84 73 K7553 one pair 384 1.53% 1 : 64.2 12.27%
85 72 K7552 one pair 384 1.53% 1 : 64.2 10.73%
86 64 K6554 one pair 384 1.53% 1 : 64.2 9.20%
87 63 K6553 one pair 384 1.53% 1 : 64.2 7.67%
88 62 K6552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 K5543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 K5542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 K5532 one pair 384 1.53% 1 : 64.2 1.53%