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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 TT TTTT2 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 T2 TTT22 full house 24 0.10% 1 : 1043 99.98%
3 22 TT222 full house 24 0.10% 1 : 1043 99.89%
 
4 AT ATTT2 three of a kind 64 0.26% 1 : 390 99.79%
5 KT KTTT2 three of a kind 64 0.26% 1 : 390 99.54%
6 QT QTTT2 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JTTT2 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 TTT92 three of a kind 64 0.26% 1 : 390 98.77%
9 T8 TTT82 three of a kind 64 0.26% 1 : 390 98.51%
10 T7 TTT72 three of a kind 64 0.26% 1 : 390 98.26%
11 T6 TTT62 three of a kind 64 0.26% 1 : 390 98.00%
12 T5 TTT52 three of a kind 64 0.26% 1 : 390 97.75%
13 T4 TTT42 three of a kind 64 0.26% 1 : 390 97.49%
14 T3 TTT32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AATT2 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKTT2 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQTT2 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJTT2 two pairs 144 0.57% 1 : 173 95.26%
19 99 TT992 two pairs 144 0.57% 1 : 173 94.68%
20 88 TT882 two pairs 144 0.57% 1 : 173 94.11%
21 77 TT772 two pairs 144 0.57% 1 : 173 93.53%
22 66 TT662 two pairs 144 0.57% 1 : 173 92.96%
23 55 TT552 two pairs 144 0.57% 1 : 173 92.38%
24 44 TT442 two pairs 144 0.57% 1 : 173 91.81%
25 33 TT332 two pairs 144 0.57% 1 : 173 91.23%
26 A2 ATT22 two pairs 144 0.57% 1 : 173 90.66%
27 K2 KTT22 two pairs 144 0.57% 1 : 173 90.08%
28 Q2 QTT22 two pairs 144 0.57% 1 : 173 89.51%
29 J2 JTT22 two pairs 144 0.57% 1 : 173 88.93%
30 92 TT922 two pairs 144 0.57% 1 : 173 88.36%
31 82 TT822 two pairs 144 0.57% 1 : 173 87.78%
32 72 TT722 two pairs 144 0.57% 1 : 173 87.21%
33 62 TT622 two pairs 144 0.57% 1 : 173 86.63%
34 52 TT522 two pairs 144 0.57% 1 : 173 86.06%
35 42 TT422 two pairs 144 0.57% 1 : 173 85.48%
36 32 TT322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKTT2 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQTT2 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJTT2 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 ATT92 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 ATT82 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 ATT72 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 ATT62 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 ATT52 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 ATT42 one pair 384 1.53% 1 : 64.2 72.07%
46 A3 ATT32 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQTT2 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJTT2 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KTT92 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KTT82 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KTT72 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KTT62 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KTT52 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KTT42 one pair 384 1.53% 1 : 64.2 58.27%
55 K3 KTT32 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJTT2 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QTT92 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QTT82 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QTT72 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QTT62 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QTT52 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 QTT42 one pair 384 1.53% 1 : 64.2 46.00%
63 Q3 QTT32 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JTT92 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JTT82 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JTT72 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 JTT62 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 JTT52 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 JTT42 one pair 384 1.53% 1 : 64.2 35.27%
70 J3 JTT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 TT982 one pair 384 1.53% 1 : 64.2 32.20%
72 97 TT972 one pair 384 1.53% 1 : 64.2 30.67%
73 96 TT962 one pair 384 1.53% 1 : 64.2 29.13%
74 95 TT952 one pair 384 1.53% 1 : 64.2 27.60%
75 94 TT942 one pair 384 1.53% 1 : 64.2 26.07%
76 93 TT932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 TT872 one pair 384 1.53% 1 : 64.2 23.00%
78 86 TT862 one pair 384 1.53% 1 : 64.2 21.47%
79 85 TT852 one pair 384 1.53% 1 : 64.2 19.93%
80 84 TT842 one pair 384 1.53% 1 : 64.2 18.40%
81 83 TT832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 TT762 one pair 384 1.53% 1 : 64.2 15.33%
83 75 TT752 one pair 384 1.53% 1 : 64.2 13.80%
84 74 TT742 one pair 384 1.53% 1 : 64.2 12.27%
85 73 TT732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 TT652 one pair 384 1.53% 1 : 64.2 9.20%
87 64 TT642 one pair 384 1.53% 1 : 64.2 7.67%
88 63 TT632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 TT542 one pair 384 1.53% 1 : 64.2 4.60%
90 53 TT532 one pair 384 1.53% 1 : 64.2 3.07%
91 43 TT432 one pair 384 1.53% 1 : 64.2 1.53%