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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 KK KKKK6 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 K6 KKK66 full house 24 0.10% 1 : 1043 99.98%
3 66 KK666 full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKK6 three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KKKQ6 three of a kind 64 0.26% 1 : 390 99.54%
6 KJ KKKJ6 three of a kind 64 0.26% 1 : 390 99.28%
7 KT KKKT6 three of a kind 64 0.26% 1 : 390 99.03%
8 K9 KKK96 three of a kind 64 0.26% 1 : 390 98.77%
9 K8 KKK86 three of a kind 64 0.26% 1 : 390 98.51%
10 K7 KKK76 three of a kind 64 0.26% 1 : 390 98.26%
11 K5 KKK65 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 KKK64 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKK63 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKK62 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKK6 two pairs 144 0.57% 1 : 173 96.98%
16 QQ KKQQ6 two pairs 144 0.57% 1 : 173 96.41%
17 JJ KKJJ6 two pairs 144 0.57% 1 : 173 95.83%
18 TT KKTT6 two pairs 144 0.57% 1 : 173 95.26%
19 99 KK996 two pairs 144 0.57% 1 : 173 94.68%
20 88 KK886 two pairs 144 0.57% 1 : 173 94.11%
21 77 KK776 two pairs 144 0.57% 1 : 173 93.53%
22 A6 AKK66 two pairs 144 0.57% 1 : 173 92.96%
23 Q6 KKQ66 two pairs 144 0.57% 1 : 173 92.38%
24 J6 KKJ66 two pairs 144 0.57% 1 : 173 91.81%
25 T6 KKT66 two pairs 144 0.57% 1 : 173 91.23%
26 96 KK966 two pairs 144 0.57% 1 : 173 90.66%
27 86 KK866 two pairs 144 0.57% 1 : 173 90.08%
28 76 KK766 two pairs 144 0.57% 1 : 173 89.51%
29 65 KK665 two pairs 144 0.57% 1 : 173 88.93%
30 64 KK664 two pairs 144 0.57% 1 : 173 88.36%
31 63 KK663 two pairs 144 0.57% 1 : 173 87.78%
32 62 KK662 two pairs 144 0.57% 1 : 173 87.21%
33 55 KK655 two pairs 144 0.57% 1 : 173 86.63%
34 44 KK644 two pairs 144 0.57% 1 : 173 86.06%
35 33 KK633 two pairs 144 0.57% 1 : 173 85.48%
36 22 KK622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKKQ6 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKKJ6 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKKT6 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AKK96 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AKK86 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AKK76 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKK65 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKK64 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKK63 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKK62 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KKQJ6 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KKQT6 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KKQ96 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KKQ86 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KKQ76 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KKQ65 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KKQ64 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KKQ63 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KKQ62 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KKJT6 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KKJ96 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KKJ86 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KKJ76 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KKJ65 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KKJ64 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KKJ63 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KKJ62 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KKT96 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KKT86 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KKT76 one pair 384 1.53% 1 : 64.2 39.87%
67 T5 KKT65 one pair 384 1.53% 1 : 64.2 38.33%
68 T4 KKT64 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 KKT63 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KKT62 one pair 384 1.53% 1 : 64.2 33.73%
71 98 KK986 one pair 384 1.53% 1 : 64.2 32.20%
72 97 KK976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 KK965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 KK964 one pair 384 1.53% 1 : 64.2 27.60%
75 93 KK963 one pair 384 1.53% 1 : 64.2 26.07%
76 92 KK962 one pair 384 1.53% 1 : 64.2 24.53%
77 87 KK876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 KK865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 KK864 one pair 384 1.53% 1 : 64.2 19.93%
80 83 KK863 one pair 384 1.53% 1 : 64.2 18.40%
81 82 KK862 one pair 384 1.53% 1 : 64.2 16.87%
82 75 KK765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 KK764 one pair 384 1.53% 1 : 64.2 13.80%
84 73 KK763 one pair 384 1.53% 1 : 64.2 12.27%
85 72 KK762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KK654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KK653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KK652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KK643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KK642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KK632 one pair 384 1.53% 1 : 64.2 1.53%