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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 TTTT9 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 T9 TTT99 full house 24 0.10% 1 : 1043 99.98%
3 99 TT999 full house 24 0.10% 1 : 1043 99.89%
 
4 AT ATTT9 three of a kind 64 0.26% 1 : 390 99.79%
5 KT KTTT9 three of a kind 64 0.26% 1 : 390 99.54%
6 QT QTTT9 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JTTT9 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 TTT98 three of a kind 64 0.26% 1 : 390 98.77%
9 T7 TTT97 three of a kind 64 0.26% 1 : 390 98.51%
10 T6 TTT96 three of a kind 64 0.26% 1 : 390 98.26%
11 T5 TTT95 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 TTT94 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 TTT93 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 TTT92 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AATT9 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKTT9 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQTT9 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJTT9 two pairs 144 0.57% 1 : 173 95.26%
19 A9 ATT99 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KTT99 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QTT99 two pairs 144 0.57% 1 : 173 93.53%
22 J9 JTT99 two pairs 144 0.57% 1 : 173 92.96%
23 98 TT998 two pairs 144 0.57% 1 : 173 92.38%
24 97 TT997 two pairs 144 0.57% 1 : 173 91.81%
25 96 TT996 two pairs 144 0.57% 1 : 173 91.23%
26 95 TT995 two pairs 144 0.57% 1 : 173 90.66%
27 94 TT994 two pairs 144 0.57% 1 : 173 90.08%
28 93 TT993 two pairs 144 0.57% 1 : 173 89.51%
29 92 TT992 two pairs 144 0.57% 1 : 173 88.93%
30 88 TT988 two pairs 144 0.57% 1 : 173 88.36%
31 77 TT977 two pairs 144 0.57% 1 : 173 87.78%
32 66 TT966 two pairs 144 0.57% 1 : 173 87.21%
33 55 TT955 two pairs 144 0.57% 1 : 173 86.63%
34 44 TT944 two pairs 144 0.57% 1 : 173 86.06%
35 33 TT933 two pairs 144 0.57% 1 : 173 85.48%
36 22 TT922 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKTT9 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQTT9 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJTT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 ATT98 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 ATT97 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 ATT96 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 ATT95 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 ATT94 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 ATT93 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 ATT92 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQTT9 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJTT9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KTT98 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KTT97 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KTT96 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KTT95 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KTT94 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KTT93 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KTT92 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJTT9 one pair 384 1.53% 1 : 64.2 55.20%
57 Q8 QTT98 one pair 384 1.53% 1 : 64.2 53.67%
58 Q7 QTT97 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QTT96 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QTT95 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QTT94 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QTT93 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QTT92 one pair 384 1.53% 1 : 64.2 44.47%
64 J8 JTT98 one pair 384 1.53% 1 : 64.2 42.93%
65 J7 JTT97 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 JTT96 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 JTT95 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JTT94 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JTT93 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JTT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 TT987 one pair 384 1.53% 1 : 64.2 32.20%
72 86 TT986 one pair 384 1.53% 1 : 64.2 30.67%
73 85 TT985 one pair 384 1.53% 1 : 64.2 29.13%
74 84 TT984 one pair 384 1.53% 1 : 64.2 27.60%
75 83 TT983 one pair 384 1.53% 1 : 64.2 26.07%
76 82 TT982 one pair 384 1.53% 1 : 64.2 24.53%
77 76 TT976 one pair 384 1.53% 1 : 64.2 23.00%
78 75 TT975 one pair 384 1.53% 1 : 64.2 21.47%
79 74 TT974 one pair 384 1.53% 1 : 64.2 19.93%
80 73 TT973 one pair 384 1.53% 1 : 64.2 18.40%
81 72 TT972 one pair 384 1.53% 1 : 64.2 16.87%
82 65 TT965 one pair 384 1.53% 1 : 64.2 15.33%
83 64 TT964 one pair 384 1.53% 1 : 64.2 13.80%
84 63 TT963 one pair 384 1.53% 1 : 64.2 12.27%
85 62 TT962 one pair 384 1.53% 1 : 64.2 10.73%
86 54 TT954 one pair 384 1.53% 1 : 64.2 9.20%
87 53 TT953 one pair 384 1.53% 1 : 64.2 7.67%
88 52 TT952 one pair 384 1.53% 1 : 64.2 6.13%
89 43 TT943 one pair 384 1.53% 1 : 64.2 4.60%
90 42 TT942 one pair 384 1.53% 1 : 64.2 3.07%
91 32 TT932 one pair 384 1.53% 1 : 64.2 1.53%