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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 66 76666 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 77 77766 full house 24 0.10% 1 : 1043 99.98%
3 76 77666 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 A7666 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 K7666 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 Q7666 three of a kind 64 0.26% 1 : 390 99.28%
7 J6 J7666 three of a kind 64 0.26% 1 : 390 99.03%
8 T6 T7666 three of a kind 64 0.26% 1 : 390 98.77%
9 96 97666 three of a kind 64 0.26% 1 : 390 98.51%
10 86 87666 three of a kind 64 0.26% 1 : 390 98.26%
11 65 76665 three of a kind 64 0.26% 1 : 390 98.00%
12 64 76664 three of a kind 64 0.26% 1 : 390 97.75%
13 63 76663 three of a kind 64 0.26% 1 : 390 97.49%
14 62 76662 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA766 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK766 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ766 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ766 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT766 two pairs 144 0.57% 1 : 173 94.68%
20 99 99766 two pairs 144 0.57% 1 : 173 94.11%
21 88 88766 two pairs 144 0.57% 1 : 173 93.53%
22 A7 A7766 two pairs 144 0.57% 1 : 173 92.96%
23 K7 K7766 two pairs 144 0.57% 1 : 173 92.38%
24 Q7 Q7766 two pairs 144 0.57% 1 : 173 91.81%
25 J7 J7766 two pairs 144 0.57% 1 : 173 91.23%
26 T7 T7766 two pairs 144 0.57% 1 : 173 90.66%
27 97 97766 two pairs 144 0.57% 1 : 173 90.08%
28 87 87766 two pairs 144 0.57% 1 : 173 89.51%
29 75 77665 two pairs 144 0.57% 1 : 173 88.93%
30 74 77664 two pairs 144 0.57% 1 : 173 88.36%
31 73 77663 two pairs 144 0.57% 1 : 173 87.78%
32 72 77662 two pairs 144 0.57% 1 : 173 87.21%
33 55 76655 two pairs 144 0.57% 1 : 173 86.63%
34 44 76644 two pairs 144 0.57% 1 : 173 86.06%
35 33 76633 two pairs 144 0.57% 1 : 173 85.48%
36 22 76622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK766 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ766 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ766 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT766 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9766 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8766 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 A7665 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A7664 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A7663 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A7662 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ766 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ766 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT766 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9766 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8766 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 K7665 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K7664 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K7663 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K7662 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ766 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT766 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9766 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8766 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 Q7665 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q7664 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q7663 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q7662 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT766 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9766 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8766 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 J7665 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J7664 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J7663 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J7662 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9766 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8766 one pair 384 1.53% 1 : 64.2 30.67%
73 T5 T7665 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T7664 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T7663 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T7662 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98766 one pair 384 1.53% 1 : 64.2 23.00%
78 95 97665 one pair 384 1.53% 1 : 64.2 21.47%
79 94 97664 one pair 384 1.53% 1 : 64.2 19.93%
80 93 97663 one pair 384 1.53% 1 : 64.2 18.40%
81 92 97662 one pair 384 1.53% 1 : 64.2 16.87%
82 85 87665 one pair 384 1.53% 1 : 64.2 15.33%
83 84 87664 one pair 384 1.53% 1 : 64.2 13.80%
84 83 87663 one pair 384 1.53% 1 : 64.2 12.27%
85 82 87662 one pair 384 1.53% 1 : 64.2 10.73%
86 54 76654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 76653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 76652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 76643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 76642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 76632 one pair 384 1.53% 1 : 64.2 1.53%