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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 77 77774 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 74 77744 full house 24 0.10% 1 : 1043 99.98%
3 44 77444 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 A7774 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 K7774 three of a kind 64 0.26% 1 : 390 99.54%
6 Q7 Q7774 three of a kind 64 0.26% 1 : 390 99.28%
7 J7 J7774 three of a kind 64 0.26% 1 : 390 99.03%
8 T7 T7774 three of a kind 64 0.26% 1 : 390 98.77%
9 97 97774 three of a kind 64 0.26% 1 : 390 98.51%
10 87 87774 three of a kind 64 0.26% 1 : 390 98.26%
11 76 77764 three of a kind 64 0.26% 1 : 390 98.00%
12 75 77754 three of a kind 64 0.26% 1 : 390 97.75%
13 73 77743 three of a kind 64 0.26% 1 : 390 97.49%
14 72 77742 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA774 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK774 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ774 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ774 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT774 two pairs 144 0.57% 1 : 173 94.68%
20 99 99774 two pairs 144 0.57% 1 : 173 94.11%
21 88 88774 two pairs 144 0.57% 1 : 173 93.53%
22 66 77664 two pairs 144 0.57% 1 : 173 92.96%
23 55 77554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 A7744 two pairs 144 0.57% 1 : 173 91.81%
25 K4 K7744 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 Q7744 two pairs 144 0.57% 1 : 173 90.66%
27 J4 J7744 two pairs 144 0.57% 1 : 173 90.08%
28 T4 T7744 two pairs 144 0.57% 1 : 173 89.51%
29 94 97744 two pairs 144 0.57% 1 : 173 88.93%
30 84 87744 two pairs 144 0.57% 1 : 173 88.36%
31 64 77644 two pairs 144 0.57% 1 : 173 87.78%
32 54 77544 two pairs 144 0.57% 1 : 173 87.21%
33 43 77443 two pairs 144 0.57% 1 : 173 86.63%
34 42 77442 two pairs 144 0.57% 1 : 173 86.06%
35 33 77433 two pairs 144 0.57% 1 : 173 85.48%
36 22 77422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK774 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ774 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ774 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT774 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9774 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8774 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A7764 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A7754 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A7743 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A7742 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ774 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ774 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT774 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9774 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8774 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K7764 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K7754 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K7743 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K7742 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ774 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT774 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9774 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8774 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q7764 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q7754 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q7743 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q7742 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT774 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9774 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8774 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J7764 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J7754 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J7743 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J7742 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9774 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8774 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T7764 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T7754 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T7743 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T7742 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98774 one pair 384 1.53% 1 : 64.2 23.00%
78 96 97764 one pair 384 1.53% 1 : 64.2 21.47%
79 95 97754 one pair 384 1.53% 1 : 64.2 19.93%
80 93 97743 one pair 384 1.53% 1 : 64.2 18.40%
81 92 97742 one pair 384 1.53% 1 : 64.2 16.87%
82 86 87764 one pair 384 1.53% 1 : 64.2 15.33%
83 85 87754 one pair 384 1.53% 1 : 64.2 13.80%
84 83 87743 one pair 384 1.53% 1 : 64.2 12.27%
85 82 87742 one pair 384 1.53% 1 : 64.2 10.73%
86 65 77654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 77643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 77642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 77543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 77542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 77432 one pair 384 1.53% 1 : 64.2 1.53%