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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 75555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 77 77755 full house 24 0.10% 1 : 1043 99.98%
3 75 77555 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 A7555 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 K7555 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 Q7555 three of a kind 64 0.26% 1 : 390 99.28%
7 J5 J7555 three of a kind 64 0.26% 1 : 390 99.03%
8 T5 T7555 three of a kind 64 0.26% 1 : 390 98.77%
9 95 97555 three of a kind 64 0.26% 1 : 390 98.51%
10 85 87555 three of a kind 64 0.26% 1 : 390 98.26%
11 65 76555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 75554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 75553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 75552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA755 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK755 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ755 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ755 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT755 two pairs 144 0.57% 1 : 173 94.68%
20 99 99755 two pairs 144 0.57% 1 : 173 94.11%
21 88 88755 two pairs 144 0.57% 1 : 173 93.53%
22 A7 A7755 two pairs 144 0.57% 1 : 173 92.96%
23 K7 K7755 two pairs 144 0.57% 1 : 173 92.38%
24 Q7 Q7755 two pairs 144 0.57% 1 : 173 91.81%
25 J7 J7755 two pairs 144 0.57% 1 : 173 91.23%
26 T7 T7755 two pairs 144 0.57% 1 : 173 90.66%
27 97 97755 two pairs 144 0.57% 1 : 173 90.08%
28 87 87755 two pairs 144 0.57% 1 : 173 89.51%
29 76 77655 two pairs 144 0.57% 1 : 173 88.93%
30 74 77554 two pairs 144 0.57% 1 : 173 88.36%
31 73 77553 two pairs 144 0.57% 1 : 173 87.78%
32 72 77552 two pairs 144 0.57% 1 : 173 87.21%
33 66 76655 two pairs 144 0.57% 1 : 173 86.63%
34 44 75544 two pairs 144 0.57% 1 : 173 86.06%
35 33 75533 two pairs 144 0.57% 1 : 173 85.48%
36 22 75522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK755 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ755 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ755 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT755 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9755 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8755 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A7655 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A7554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A7553 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A7552 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ755 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ755 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT755 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9755 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8755 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K7655 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K7554 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K7553 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K7552 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ755 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT755 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9755 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8755 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q7655 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q7554 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q7553 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q7552 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT755 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9755 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8755 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J7655 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J7554 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J7553 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J7552 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9755 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8755 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T7655 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T7554 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T7553 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T7552 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98755 one pair 384 1.53% 1 : 64.2 23.00%
78 96 97655 one pair 384 1.53% 1 : 64.2 21.47%
79 94 97554 one pair 384 1.53% 1 : 64.2 19.93%
80 93 97553 one pair 384 1.53% 1 : 64.2 18.40%
81 92 97552 one pair 384 1.53% 1 : 64.2 16.87%
82 86 87655 one pair 384 1.53% 1 : 64.2 15.33%
83 84 87554 one pair 384 1.53% 1 : 64.2 13.80%
84 83 87553 one pair 384 1.53% 1 : 64.2 12.27%
85 82 87552 one pair 384 1.53% 1 : 64.2 10.73%
86 64 76554 one pair 384 1.53% 1 : 64.2 9.20%
87 63 76553 one pair 384 1.53% 1 : 64.2 7.67%
88 62 76552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 75543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 75542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 75532 one pair 384 1.53% 1 : 64.2 1.53%