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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 Q4444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQ44 full house 24 0.10% 1 : 1043 99.98%
3 Q4 QQ444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 AQ444 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 KQ444 three of a kind 64 0.26% 1 : 390 99.54%
6 J4 QJ444 three of a kind 64 0.26% 1 : 390 99.28%
7 T4 QT444 three of a kind 64 0.26% 1 : 390 99.03%
8 94 Q9444 three of a kind 64 0.26% 1 : 390 98.77%
9 84 Q8444 three of a kind 64 0.26% 1 : 390 98.51%
10 74 Q7444 three of a kind 64 0.26% 1 : 390 98.26%
11 64 Q6444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 Q5444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 Q4443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 Q4442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQ44 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQ44 two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQ44 two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQ44 two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJ44 two pairs 144 0.57% 1 : 173 94.68%
20 QT QQT44 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QQ944 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 QQ844 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 QQ744 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 QQ644 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 QQ544 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 QQ443 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQ442 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJ44 two pairs 144 0.57% 1 : 173 89.51%
29 TT QTT44 two pairs 144 0.57% 1 : 173 88.93%
30 99 Q9944 two pairs 144 0.57% 1 : 173 88.36%
31 88 Q8844 two pairs 144 0.57% 1 : 173 87.78%
32 77 Q7744 two pairs 144 0.57% 1 : 173 87.21%
33 66 Q6644 two pairs 144 0.57% 1 : 173 86.63%
34 55 Q5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 Q4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 Q4422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQ44 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJ44 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQT44 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQ944 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQ844 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQ744 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AQ644 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AQ544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQ443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQ442 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJ44 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQT44 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQ944 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQ844 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQ744 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KQ644 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KQ544 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQ443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQ442 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QJT44 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QJ944 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QJ844 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QJ744 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 QJ644 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 QJ544 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QJ443 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QJ442 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QT944 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QT844 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QT744 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 QT644 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 QT544 one pair 384 1.53% 1 : 64.2 36.80%
69 T3 QT443 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QT442 one pair 384 1.53% 1 : 64.2 33.73%
71 98 Q9844 one pair 384 1.53% 1 : 64.2 32.20%
72 97 Q9744 one pair 384 1.53% 1 : 64.2 30.67%
73 96 Q9644 one pair 384 1.53% 1 : 64.2 29.13%
74 95 Q9544 one pair 384 1.53% 1 : 64.2 27.60%
75 93 Q9443 one pair 384 1.53% 1 : 64.2 26.07%
76 92 Q9442 one pair 384 1.53% 1 : 64.2 24.53%
77 87 Q8744 one pair 384 1.53% 1 : 64.2 23.00%
78 86 Q8644 one pair 384 1.53% 1 : 64.2 21.47%
79 85 Q8544 one pair 384 1.53% 1 : 64.2 19.93%
80 83 Q8443 one pair 384 1.53% 1 : 64.2 18.40%
81 82 Q8442 one pair 384 1.53% 1 : 64.2 16.87%
82 76 Q7644 one pair 384 1.53% 1 : 64.2 15.33%
83 75 Q7544 one pair 384 1.53% 1 : 64.2 13.80%
84 73 Q7443 one pair 384 1.53% 1 : 64.2 12.27%
85 72 Q7442 one pair 384 1.53% 1 : 64.2 10.73%
86 65 Q6544 one pair 384 1.53% 1 : 64.2 9.20%
87 63 Q6443 one pair 384 1.53% 1 : 64.2 7.67%
88 62 Q6442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 Q5443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 Q5442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 Q4432 one pair 384 1.53% 1 : 64.2 1.53%