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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 T5555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 TT TTT55 full house 24 0.10% 1 : 1043 99.98%
3 T5 TT555 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 AT555 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 KT555 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 QT555 three of a kind 64 0.26% 1 : 390 99.28%
7 J5 JT555 three of a kind 64 0.26% 1 : 390 99.03%
8 95 T9555 three of a kind 64 0.26% 1 : 390 98.77%
9 85 T8555 three of a kind 64 0.26% 1 : 390 98.51%
10 75 T7555 three of a kind 64 0.26% 1 : 390 98.26%
11 65 T6555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 T5554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 T5553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 T5552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAT55 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKT55 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQT55 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJT55 two pairs 144 0.57% 1 : 173 95.26%
19 AT ATT55 two pairs 144 0.57% 1 : 173 94.68%
20 KT KTT55 two pairs 144 0.57% 1 : 173 94.11%
21 QT QTT55 two pairs 144 0.57% 1 : 173 93.53%
22 JT JTT55 two pairs 144 0.57% 1 : 173 92.96%
23 T9 TT955 two pairs 144 0.57% 1 : 173 92.38%
24 T8 TT855 two pairs 144 0.57% 1 : 173 91.81%
25 T7 TT755 two pairs 144 0.57% 1 : 173 91.23%
26 T6 TT655 two pairs 144 0.57% 1 : 173 90.66%
27 T4 TT554 two pairs 144 0.57% 1 : 173 90.08%
28 T3 TT553 two pairs 144 0.57% 1 : 173 89.51%
29 T2 TT552 two pairs 144 0.57% 1 : 173 88.93%
30 99 T9955 two pairs 144 0.57% 1 : 173 88.36%
31 88 T8855 two pairs 144 0.57% 1 : 173 87.78%
32 77 T7755 two pairs 144 0.57% 1 : 173 87.21%
33 66 T6655 two pairs 144 0.57% 1 : 173 86.63%
34 44 T5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 T5533 two pairs 144 0.57% 1 : 173 85.48%
36 22 T5522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKT55 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQT55 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJT55 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AT955 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AT855 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AT755 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AT655 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AT554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AT553 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AT552 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQT55 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJT55 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KT955 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KT855 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KT755 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KT655 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KT554 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KT553 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KT552 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJT55 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QT955 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QT855 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QT755 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QT655 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QT554 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QT553 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QT552 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JT955 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JT855 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JT755 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 JT655 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JT554 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JT553 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JT552 one pair 384 1.53% 1 : 64.2 33.73%
71 98 T9855 one pair 384 1.53% 1 : 64.2 32.20%
72 97 T9755 one pair 384 1.53% 1 : 64.2 30.67%
73 96 T9655 one pair 384 1.53% 1 : 64.2 29.13%
74 94 T9554 one pair 384 1.53% 1 : 64.2 27.60%
75 93 T9553 one pair 384 1.53% 1 : 64.2 26.07%
76 92 T9552 one pair 384 1.53% 1 : 64.2 24.53%
77 87 T8755 one pair 384 1.53% 1 : 64.2 23.00%
78 86 T8655 one pair 384 1.53% 1 : 64.2 21.47%
79 84 T8554 one pair 384 1.53% 1 : 64.2 19.93%
80 83 T8553 one pair 384 1.53% 1 : 64.2 18.40%
81 82 T8552 one pair 384 1.53% 1 : 64.2 16.87%
82 76 T7655 one pair 384 1.53% 1 : 64.2 15.33%
83 74 T7554 one pair 384 1.53% 1 : 64.2 13.80%
84 73 T7553 one pair 384 1.53% 1 : 64.2 12.27%
85 72 T7552 one pair 384 1.53% 1 : 64.2 10.73%
86 64 T6554 one pair 384 1.53% 1 : 64.2 9.20%
87 63 T6553 one pair 384 1.53% 1 : 64.2 7.67%
88 62 T6552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 T5543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 T5542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 T5532 one pair 384 1.53% 1 : 64.2 1.53%