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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 TTTT7 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 T7 TTT77 full house 24 0.10% 1 : 1043 99.98%
3 77 TT777 full house 24 0.10% 1 : 1043 99.89%
 
4 AT ATTT7 three of a kind 64 0.26% 1 : 390 99.79%
5 KT KTTT7 three of a kind 64 0.26% 1 : 390 99.54%
6 QT QTTT7 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JTTT7 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 TTT97 three of a kind 64 0.26% 1 : 390 98.77%
9 T8 TTT87 three of a kind 64 0.26% 1 : 390 98.51%
10 T6 TTT76 three of a kind 64 0.26% 1 : 390 98.26%
11 T5 TTT75 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 TTT74 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 TTT73 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 TTT72 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AATT7 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKTT7 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQTT7 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJTT7 two pairs 144 0.57% 1 : 173 95.26%
19 99 TT997 two pairs 144 0.57% 1 : 173 94.68%
20 88 TT887 two pairs 144 0.57% 1 : 173 94.11%
21 A7 ATT77 two pairs 144 0.57% 1 : 173 93.53%
22 K7 KTT77 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 QTT77 two pairs 144 0.57% 1 : 173 92.38%
24 J7 JTT77 two pairs 144 0.57% 1 : 173 91.81%
25 97 TT977 two pairs 144 0.57% 1 : 173 91.23%
26 87 TT877 two pairs 144 0.57% 1 : 173 90.66%
27 76 TT776 two pairs 144 0.57% 1 : 173 90.08%
28 75 TT775 two pairs 144 0.57% 1 : 173 89.51%
29 74 TT774 two pairs 144 0.57% 1 : 173 88.93%
30 73 TT773 two pairs 144 0.57% 1 : 173 88.36%
31 72 TT772 two pairs 144 0.57% 1 : 173 87.78%
32 66 TT766 two pairs 144 0.57% 1 : 173 87.21%
33 55 TT755 two pairs 144 0.57% 1 : 173 86.63%
34 44 TT744 two pairs 144 0.57% 1 : 173 86.06%
35 33 TT733 two pairs 144 0.57% 1 : 173 85.48%
36 22 TT722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKTT7 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQTT7 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJTT7 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 ATT97 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 ATT87 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 ATT76 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 ATT75 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 ATT74 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 ATT73 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 ATT72 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQTT7 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJTT7 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KTT97 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KTT87 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KTT76 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KTT75 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KTT74 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KTT73 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KTT72 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJTT7 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QTT97 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QTT87 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QTT76 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QTT75 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QTT74 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QTT73 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QTT72 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JTT97 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JTT87 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 JTT76 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 JTT75 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JTT74 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JTT73 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JTT72 one pair 384 1.53% 1 : 64.2 33.73%
71 98 TT987 one pair 384 1.53% 1 : 64.2 32.20%
72 96 TT976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 TT975 one pair 384 1.53% 1 : 64.2 29.13%
74 94 TT974 one pair 384 1.53% 1 : 64.2 27.60%
75 93 TT973 one pair 384 1.53% 1 : 64.2 26.07%
76 92 TT972 one pair 384 1.53% 1 : 64.2 24.53%
77 86 TT876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 TT875 one pair 384 1.53% 1 : 64.2 21.47%
79 84 TT874 one pair 384 1.53% 1 : 64.2 19.93%
80 83 TT873 one pair 384 1.53% 1 : 64.2 18.40%
81 82 TT872 one pair 384 1.53% 1 : 64.2 16.87%
82 65 TT765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 TT764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 TT763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 TT762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 TT754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 TT753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 TT752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 TT743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 TT742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 TT732 one pair 384 1.53% 1 : 64.2 1.53%