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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 66664 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 64 66644 full house 24 0.10% 1 : 1043 99.98%
3 44 66444 full house 24 0.10% 1 : 1043 99.89%
 
4 A6 A6664 three of a kind 64 0.26% 1 : 390 99.79%
5 K6 K6664 three of a kind 64 0.26% 1 : 390 99.54%
6 Q6 Q6664 three of a kind 64 0.26% 1 : 390 99.28%
7 J6 J6664 three of a kind 64 0.26% 1 : 390 99.03%
8 T6 T6664 three of a kind 64 0.26% 1 : 390 98.77%
9 96 96664 three of a kind 64 0.26% 1 : 390 98.51%
10 86 86664 three of a kind 64 0.26% 1 : 390 98.26%
11 76 76664 three of a kind 64 0.26% 1 : 390 98.00%
12 65 66654 three of a kind 64 0.26% 1 : 390 97.75%
13 63 66643 three of a kind 64 0.26% 1 : 390 97.49%
14 62 66642 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA664 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK664 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ664 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ664 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT664 two pairs 144 0.57% 1 : 173 94.68%
20 99 99664 two pairs 144 0.57% 1 : 173 94.11%
21 88 88664 two pairs 144 0.57% 1 : 173 93.53%
22 77 77664 two pairs 144 0.57% 1 : 173 92.96%
23 55 66554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 A6644 two pairs 144 0.57% 1 : 173 91.81%
25 K4 K6644 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 Q6644 two pairs 144 0.57% 1 : 173 90.66%
27 J4 J6644 two pairs 144 0.57% 1 : 173 90.08%
28 T4 T6644 two pairs 144 0.57% 1 : 173 89.51%
29 94 96644 two pairs 144 0.57% 1 : 173 88.93%
30 84 86644 two pairs 144 0.57% 1 : 173 88.36%
31 74 76644 two pairs 144 0.57% 1 : 173 87.78%
32 54 66544 two pairs 144 0.57% 1 : 173 87.21%
33 43 66443 two pairs 144 0.57% 1 : 173 86.63%
34 42 66442 two pairs 144 0.57% 1 : 173 86.06%
35 33 66433 two pairs 144 0.57% 1 : 173 85.48%
36 22 66422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK664 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ664 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ664 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT664 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9664 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8664 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7664 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A6654 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A6643 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A6642 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ664 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ664 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT664 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9664 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8664 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7664 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K6654 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K6643 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K6642 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ664 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT664 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9664 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8664 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7664 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q6654 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q6643 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q6642 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT664 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9664 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8664 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7664 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J6654 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J6643 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J6642 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9664 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8664 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7664 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T6654 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T6643 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T6642 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98664 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97664 one pair 384 1.53% 1 : 64.2 21.47%
79 95 96654 one pair 384 1.53% 1 : 64.2 19.93%
80 93 96643 one pair 384 1.53% 1 : 64.2 18.40%
81 92 96642 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87664 one pair 384 1.53% 1 : 64.2 15.33%
83 85 86654 one pair 384 1.53% 1 : 64.2 13.80%
84 83 86643 one pair 384 1.53% 1 : 64.2 12.27%
85 82 86642 one pair 384 1.53% 1 : 64.2 10.73%
86 75 76654 one pair 384 1.53% 1 : 64.2 9.20%
87 73 76643 one pair 384 1.53% 1 : 64.2 7.67%
88 72 76642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 66543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 66542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 66432 one pair 384 1.53% 1 : 64.2 1.53%