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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 77775 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 75 77755 full house 24 0.10% 1 : 1043 99.98%
3 55 77555 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 A7775 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 K7775 three of a kind 64 0.26% 1 : 390 99.54%
6 Q7 Q7775 three of a kind 64 0.26% 1 : 390 99.28%
7 J7 J7775 three of a kind 64 0.26% 1 : 390 99.03%
8 T7 T7775 three of a kind 64 0.26% 1 : 390 98.77%
9 97 97775 three of a kind 64 0.26% 1 : 390 98.51%
10 87 87775 three of a kind 64 0.26% 1 : 390 98.26%
11 76 77765 three of a kind 64 0.26% 1 : 390 98.00%
12 74 77754 three of a kind 64 0.26% 1 : 390 97.75%
13 73 77753 three of a kind 64 0.26% 1 : 390 97.49%
14 72 77752 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA775 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK775 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ775 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ775 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT775 two pairs 144 0.57% 1 : 173 94.68%
20 99 99775 two pairs 144 0.57% 1 : 173 94.11%
21 88 88775 two pairs 144 0.57% 1 : 173 93.53%
22 66 77665 two pairs 144 0.57% 1 : 173 92.96%
23 A5 A7755 two pairs 144 0.57% 1 : 173 92.38%
24 K5 K7755 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 Q7755 two pairs 144 0.57% 1 : 173 91.23%
26 J5 J7755 two pairs 144 0.57% 1 : 173 90.66%
27 T5 T7755 two pairs 144 0.57% 1 : 173 90.08%
28 95 97755 two pairs 144 0.57% 1 : 173 89.51%
29 85 87755 two pairs 144 0.57% 1 : 173 88.93%
30 65 77655 two pairs 144 0.57% 1 : 173 88.36%
31 54 77554 two pairs 144 0.57% 1 : 173 87.78%
32 53 77553 two pairs 144 0.57% 1 : 173 87.21%
33 52 77552 two pairs 144 0.57% 1 : 173 86.63%
34 44 77544 two pairs 144 0.57% 1 : 173 86.06%
35 33 77533 two pairs 144 0.57% 1 : 173 85.48%
36 22 77522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK775 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ775 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ775 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT775 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9775 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8775 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A7765 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A7754 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A7753 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A7752 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ775 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ775 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT775 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9775 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8775 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K7765 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K7754 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K7753 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K7752 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ775 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT775 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9775 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8775 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q7765 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q7754 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q7753 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q7752 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT775 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9775 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8775 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J7765 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J7754 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J7753 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J7752 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9775 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8775 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T7765 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T7754 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T7753 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T7752 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98775 one pair 384 1.53% 1 : 64.2 23.00%
78 96 97765 one pair 384 1.53% 1 : 64.2 21.47%
79 94 97754 one pair 384 1.53% 1 : 64.2 19.93%
80 93 97753 one pair 384 1.53% 1 : 64.2 18.40%
81 92 97752 one pair 384 1.53% 1 : 64.2 16.87%
82 86 87765 one pair 384 1.53% 1 : 64.2 15.33%
83 84 87754 one pair 384 1.53% 1 : 64.2 13.80%
84 83 87753 one pair 384 1.53% 1 : 64.2 12.27%
85 82 87752 one pair 384 1.53% 1 : 64.2 10.73%
86 64 77654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 77653 one pair 384 1.53% 1 : 64.2 7.67%
88 62 77652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 77543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 77542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 77532 one pair 384 1.53% 1 : 64.2 1.53%