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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 T4444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 TT TTT44 full house 24 0.10% 1 : 1043 99.98%
3 T4 TT444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 AT444 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 KT444 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 QT444 three of a kind 64 0.26% 1 : 390 99.28%
7 J4 JT444 three of a kind 64 0.26% 1 : 390 99.03%
8 94 T9444 three of a kind 64 0.26% 1 : 390 98.77%
9 84 T8444 three of a kind 64 0.26% 1 : 390 98.51%
10 74 T7444 three of a kind 64 0.26% 1 : 390 98.26%
11 64 T6444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 T5444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 T4443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 T4442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAT44 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKT44 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQT44 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJT44 two pairs 144 0.57% 1 : 173 95.26%
19 AT ATT44 two pairs 144 0.57% 1 : 173 94.68%
20 KT KTT44 two pairs 144 0.57% 1 : 173 94.11%
21 QT QTT44 two pairs 144 0.57% 1 : 173 93.53%
22 JT JTT44 two pairs 144 0.57% 1 : 173 92.96%
23 T9 TT944 two pairs 144 0.57% 1 : 173 92.38%
24 T8 TT844 two pairs 144 0.57% 1 : 173 91.81%
25 T7 TT744 two pairs 144 0.57% 1 : 173 91.23%
26 T6 TT644 two pairs 144 0.57% 1 : 173 90.66%
27 T5 TT544 two pairs 144 0.57% 1 : 173 90.08%
28 T3 TT443 two pairs 144 0.57% 1 : 173 89.51%
29 T2 TT442 two pairs 144 0.57% 1 : 173 88.93%
30 99 T9944 two pairs 144 0.57% 1 : 173 88.36%
31 88 T8844 two pairs 144 0.57% 1 : 173 87.78%
32 77 T7744 two pairs 144 0.57% 1 : 173 87.21%
33 66 T6644 two pairs 144 0.57% 1 : 173 86.63%
34 55 T5544 two pairs 144 0.57% 1 : 173 86.06%
35 33 T4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 T4422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKT44 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQT44 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJT44 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AT944 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AT844 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AT744 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AT644 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AT544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AT443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AT442 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQT44 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJT44 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KT944 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KT844 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KT744 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KT644 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KT544 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KT443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KT442 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJT44 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QT944 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QT844 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QT744 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QT644 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QT544 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QT443 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QT442 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JT944 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JT844 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JT744 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 JT644 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 JT544 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JT443 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JT442 one pair 384 1.53% 1 : 64.2 33.73%
71 98 T9844 one pair 384 1.53% 1 : 64.2 32.20%
72 97 T9744 one pair 384 1.53% 1 : 64.2 30.67%
73 96 T9644 one pair 384 1.53% 1 : 64.2 29.13%
74 95 T9544 one pair 384 1.53% 1 : 64.2 27.60%
75 93 T9443 one pair 384 1.53% 1 : 64.2 26.07%
76 92 T9442 one pair 384 1.53% 1 : 64.2 24.53%
77 87 T8744 one pair 384 1.53% 1 : 64.2 23.00%
78 86 T8644 one pair 384 1.53% 1 : 64.2 21.47%
79 85 T8544 one pair 384 1.53% 1 : 64.2 19.93%
80 83 T8443 one pair 384 1.53% 1 : 64.2 18.40%
81 82 T8442 one pair 384 1.53% 1 : 64.2 16.87%
82 76 T7644 one pair 384 1.53% 1 : 64.2 15.33%
83 75 T7544 one pair 384 1.53% 1 : 64.2 13.80%
84 73 T7443 one pair 384 1.53% 1 : 64.2 12.27%
85 72 T7442 one pair 384 1.53% 1 : 64.2 10.73%
86 65 T6544 one pair 384 1.53% 1 : 64.2 9.20%
87 63 T6443 one pair 384 1.53% 1 : 64.2 7.67%
88 62 T6442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 T5443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 T5442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 T4432 one pair 384 1.53% 1 : 64.2 1.53%