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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 A4444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 AA AAA44 full house 24 0.10% 1 : 1043 99.98%
3 A4 AA444 full house 24 0.10% 1 : 1043 99.89%
 
4 K4 AK444 three of a kind 64 0.26% 1 : 390 99.79%
5 Q4 AQ444 three of a kind 64 0.26% 1 : 390 99.54%
6 J4 AJ444 three of a kind 64 0.26% 1 : 390 99.28%
7 T4 AT444 three of a kind 64 0.26% 1 : 390 99.03%
8 94 A9444 three of a kind 64 0.26% 1 : 390 98.77%
9 84 A8444 three of a kind 64 0.26% 1 : 390 98.51%
10 74 A7444 three of a kind 64 0.26% 1 : 390 98.26%
11 64 A6444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 A5444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 A4443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 A4442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AK AAK44 two pairs 144 0.57% 1 : 173 96.98%
16 AQ AAQ44 two pairs 144 0.57% 1 : 173 96.41%
17 AJ AAJ44 two pairs 144 0.57% 1 : 173 95.83%
18 AT AAT44 two pairs 144 0.57% 1 : 173 95.26%
19 A9 AA944 two pairs 144 0.57% 1 : 173 94.68%
20 A8 AA844 two pairs 144 0.57% 1 : 173 94.11%
21 A7 AA744 two pairs 144 0.57% 1 : 173 93.53%
22 A6 AA644 two pairs 144 0.57% 1 : 173 92.96%
23 A5 AA544 two pairs 144 0.57% 1 : 173 92.38%
24 A3 AA443 two pairs 144 0.57% 1 : 173 91.81%
25 A2 AA442 two pairs 144 0.57% 1 : 173 91.23%
26 KK AKK44 two pairs 144 0.57% 1 : 173 90.66%
27 QQ AQQ44 two pairs 144 0.57% 1 : 173 90.08%
28 JJ AJJ44 two pairs 144 0.57% 1 : 173 89.51%
29 TT ATT44 two pairs 144 0.57% 1 : 173 88.93%
30 99 A9944 two pairs 144 0.57% 1 : 173 88.36%
31 88 A8844 two pairs 144 0.57% 1 : 173 87.78%
32 77 A7744 two pairs 144 0.57% 1 : 173 87.21%
33 66 A6644 two pairs 144 0.57% 1 : 173 86.63%
34 55 A5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 A4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 A4422 two pairs 144 0.57% 1 : 173 84.91%
 
37 KQ AKQ44 one pair 384 1.53% 1 : 64.2 84.33%
38 KJ AKJ44 one pair 384 1.53% 1 : 64.2 82.80%
39 KT AKT44 one pair 384 1.53% 1 : 64.2 81.26%
40 K9 AK944 one pair 384 1.53% 1 : 64.2 79.73%
41 K8 AK844 one pair 384 1.53% 1 : 64.2 78.20%
42 K7 AK744 one pair 384 1.53% 1 : 64.2 76.67%
43 K6 AK644 one pair 384 1.53% 1 : 64.2 75.13%
44 K5 AK544 one pair 384 1.53% 1 : 64.2 73.60%
45 K3 AK443 one pair 384 1.53% 1 : 64.2 72.07%
46 K2 AK442 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ AQJ44 one pair 384 1.53% 1 : 64.2 69.00%
48 QT AQT44 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 AQ944 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 AQ844 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 AQ744 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 AQ644 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 AQ544 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 AQ443 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 AQ442 one pair 384 1.53% 1 : 64.2 56.73%
56 JT AJT44 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 AJ944 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 AJ844 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 AJ744 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 AJ644 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 AJ544 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 AJ443 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 AJ442 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 AT944 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 AT844 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 AT744 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 AT644 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 AT544 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 AT443 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 AT442 one pair 384 1.53% 1 : 64.2 33.73%
71 98 A9844 one pair 384 1.53% 1 : 64.2 32.20%
72 97 A9744 one pair 384 1.53% 1 : 64.2 30.67%
73 96 A9644 one pair 384 1.53% 1 : 64.2 29.13%
74 95 A9544 one pair 384 1.53% 1 : 64.2 27.60%
75 93 A9443 one pair 384 1.53% 1 : 64.2 26.07%
76 92 A9442 one pair 384 1.53% 1 : 64.2 24.53%
77 87 A8744 one pair 384 1.53% 1 : 64.2 23.00%
78 86 A8644 one pair 384 1.53% 1 : 64.2 21.47%
79 85 A8544 one pair 384 1.53% 1 : 64.2 19.93%
80 83 A8443 one pair 384 1.53% 1 : 64.2 18.40%
81 82 A8442 one pair 384 1.53% 1 : 64.2 16.87%
82 76 A7644 one pair 384 1.53% 1 : 64.2 15.33%
83 75 A7544 one pair 384 1.53% 1 : 64.2 13.80%
84 73 A7443 one pair 384 1.53% 1 : 64.2 12.27%
85 72 A7442 one pair 384 1.53% 1 : 64.2 10.73%
86 65 A6544 one pair 384 1.53% 1 : 64.2 9.20%
87 63 A6443 one pair 384 1.53% 1 : 64.2 7.67%
88 62 A6442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 A5443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 A5442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 A4432 one pair 384 1.53% 1 : 64.2 1.53%