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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 TTTT3 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 T3 TTT33 full house 24 0.10% 1 : 1043 99.98%
3 33 TT333 full house 24 0.10% 1 : 1043 99.89%
 
4 AT ATTT3 three of a kind 64 0.26% 1 : 390 99.79%
5 KT KTTT3 three of a kind 64 0.26% 1 : 390 99.54%
6 QT QTTT3 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JTTT3 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 TTT93 three of a kind 64 0.26% 1 : 390 98.77%
9 T8 TTT83 three of a kind 64 0.26% 1 : 390 98.51%
10 T7 TTT73 three of a kind 64 0.26% 1 : 390 98.26%
11 T6 TTT63 three of a kind 64 0.26% 1 : 390 98.00%
12 T5 TTT53 three of a kind 64 0.26% 1 : 390 97.75%
13 T4 TTT43 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 TTT32 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AATT3 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKTT3 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQTT3 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJTT3 two pairs 144 0.57% 1 : 173 95.26%
19 99 TT993 two pairs 144 0.57% 1 : 173 94.68%
20 88 TT883 two pairs 144 0.57% 1 : 173 94.11%
21 77 TT773 two pairs 144 0.57% 1 : 173 93.53%
22 66 TT663 two pairs 144 0.57% 1 : 173 92.96%
23 55 TT553 two pairs 144 0.57% 1 : 173 92.38%
24 44 TT443 two pairs 144 0.57% 1 : 173 91.81%
25 A3 ATT33 two pairs 144 0.57% 1 : 173 91.23%
26 K3 KTT33 two pairs 144 0.57% 1 : 173 90.66%
27 Q3 QTT33 two pairs 144 0.57% 1 : 173 90.08%
28 J3 JTT33 two pairs 144 0.57% 1 : 173 89.51%
29 93 TT933 two pairs 144 0.57% 1 : 173 88.93%
30 83 TT833 two pairs 144 0.57% 1 : 173 88.36%
31 73 TT733 two pairs 144 0.57% 1 : 173 87.78%
32 63 TT633 two pairs 144 0.57% 1 : 173 87.21%
33 53 TT533 two pairs 144 0.57% 1 : 173 86.63%
34 43 TT433 two pairs 144 0.57% 1 : 173 86.06%
35 32 TT332 two pairs 144 0.57% 1 : 173 85.48%
36 22 TT322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKTT3 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQTT3 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJTT3 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 ATT93 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 ATT83 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 ATT73 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 ATT63 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 ATT53 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 ATT43 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 ATT32 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQTT3 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJTT3 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KTT93 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KTT83 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KTT73 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KTT63 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KTT53 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KTT43 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KTT32 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJTT3 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QTT93 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QTT83 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QTT73 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QTT63 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QTT53 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 QTT43 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QTT32 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JTT93 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JTT83 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JTT73 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 JTT63 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 JTT53 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 JTT43 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JTT32 one pair 384 1.53% 1 : 64.2 33.73%
71 98 TT983 one pair 384 1.53% 1 : 64.2 32.20%
72 97 TT973 one pair 384 1.53% 1 : 64.2 30.67%
73 96 TT963 one pair 384 1.53% 1 : 64.2 29.13%
74 95 TT953 one pair 384 1.53% 1 : 64.2 27.60%
75 94 TT943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 TT932 one pair 384 1.53% 1 : 64.2 24.53%
77 87 TT873 one pair 384 1.53% 1 : 64.2 23.00%
78 86 TT863 one pair 384 1.53% 1 : 64.2 21.47%
79 85 TT853 one pair 384 1.53% 1 : 64.2 19.93%
80 84 TT843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 TT832 one pair 384 1.53% 1 : 64.2 16.87%
82 76 TT763 one pair 384 1.53% 1 : 64.2 15.33%
83 75 TT753 one pair 384 1.53% 1 : 64.2 13.80%
84 74 TT743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 TT732 one pair 384 1.53% 1 : 64.2 10.73%
86 65 TT653 one pair 384 1.53% 1 : 64.2 9.20%
87 64 TT643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 TT632 one pair 384 1.53% 1 : 64.2 6.13%
89 54 TT543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 TT532 one pair 384 1.53% 1 : 64.2 3.07%
91 42 TT432 one pair 384 1.53% 1 : 64.2 1.53%