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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 44 64444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 66 66644 full house 24 0.10% 1 : 1043 99.98%
3 64 66444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 A6444 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 K6444 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 Q6444 three of a kind 64 0.26% 1 : 390 99.28%
7 J4 J6444 three of a kind 64 0.26% 1 : 390 99.03%
8 T4 T6444 three of a kind 64 0.26% 1 : 390 98.77%
9 94 96444 three of a kind 64 0.26% 1 : 390 98.51%
10 84 86444 three of a kind 64 0.26% 1 : 390 98.26%
11 74 76444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 65444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 64443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 64442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA644 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK644 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ644 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ644 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT644 two pairs 144 0.57% 1 : 173 94.68%
20 99 99644 two pairs 144 0.57% 1 : 173 94.11%
21 88 88644 two pairs 144 0.57% 1 : 173 93.53%
22 77 77644 two pairs 144 0.57% 1 : 173 92.96%
23 A6 A6644 two pairs 144 0.57% 1 : 173 92.38%
24 K6 K6644 two pairs 144 0.57% 1 : 173 91.81%
25 Q6 Q6644 two pairs 144 0.57% 1 : 173 91.23%
26 J6 J6644 two pairs 144 0.57% 1 : 173 90.66%
27 T6 T6644 two pairs 144 0.57% 1 : 173 90.08%
28 96 96644 two pairs 144 0.57% 1 : 173 89.51%
29 86 86644 two pairs 144 0.57% 1 : 173 88.93%
30 76 76644 two pairs 144 0.57% 1 : 173 88.36%
31 65 66544 two pairs 144 0.57% 1 : 173 87.78%
32 63 66443 two pairs 144 0.57% 1 : 173 87.21%
33 62 66442 two pairs 144 0.57% 1 : 173 86.63%
34 55 65544 two pairs 144 0.57% 1 : 173 86.06%
35 33 64433 two pairs 144 0.57% 1 : 173 85.48%
36 22 64422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK644 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ644 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ644 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT644 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9644 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8644 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7644 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A6544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A6443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A6442 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ644 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ644 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT644 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9644 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8644 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7644 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K6544 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K6443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K6442 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ644 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT644 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9644 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8644 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7644 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q6544 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q6443 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q6442 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT644 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9644 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8644 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7644 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J6544 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J6443 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J6442 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9644 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8644 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7644 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T6544 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T6443 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T6442 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98644 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97644 one pair 384 1.53% 1 : 64.2 21.47%
79 95 96544 one pair 384 1.53% 1 : 64.2 19.93%
80 93 96443 one pair 384 1.53% 1 : 64.2 18.40%
81 92 96442 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87644 one pair 384 1.53% 1 : 64.2 15.33%
83 85 86544 one pair 384 1.53% 1 : 64.2 13.80%
84 83 86443 one pair 384 1.53% 1 : 64.2 12.27%
85 82 86442 one pair 384 1.53% 1 : 64.2 10.73%
86 75 76544 one pair 384 1.53% 1 : 64.2 9.20%
87 73 76443 one pair 384 1.53% 1 : 64.2 7.67%
88 72 76442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 65443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 65442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 64432 one pair 384 1.53% 1 : 64.2 1.53%