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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 TTTT4 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 T4 TTT44 full house 24 0.10% 1 : 1043 99.98%
3 44 TT444 full house 24 0.10% 1 : 1043 99.89%
 
4 AT ATTT4 three of a kind 64 0.26% 1 : 390 99.79%
5 KT KTTT4 three of a kind 64 0.26% 1 : 390 99.54%
6 QT QTTT4 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JTTT4 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 TTT94 three of a kind 64 0.26% 1 : 390 98.77%
9 T8 TTT84 three of a kind 64 0.26% 1 : 390 98.51%
10 T7 TTT74 three of a kind 64 0.26% 1 : 390 98.26%
11 T6 TTT64 three of a kind 64 0.26% 1 : 390 98.00%
12 T5 TTT54 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 TTT43 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 TTT42 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AATT4 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKTT4 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQTT4 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJTT4 two pairs 144 0.57% 1 : 173 95.26%
19 99 TT994 two pairs 144 0.57% 1 : 173 94.68%
20 88 TT884 two pairs 144 0.57% 1 : 173 94.11%
21 77 TT774 two pairs 144 0.57% 1 : 173 93.53%
22 66 TT664 two pairs 144 0.57% 1 : 173 92.96%
23 55 TT554 two pairs 144 0.57% 1 : 173 92.38%
24 A4 ATT44 two pairs 144 0.57% 1 : 173 91.81%
25 K4 KTT44 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 QTT44 two pairs 144 0.57% 1 : 173 90.66%
27 J4 JTT44 two pairs 144 0.57% 1 : 173 90.08%
28 94 TT944 two pairs 144 0.57% 1 : 173 89.51%
29 84 TT844 two pairs 144 0.57% 1 : 173 88.93%
30 74 TT744 two pairs 144 0.57% 1 : 173 88.36%
31 64 TT644 two pairs 144 0.57% 1 : 173 87.78%
32 54 TT544 two pairs 144 0.57% 1 : 173 87.21%
33 43 TT443 two pairs 144 0.57% 1 : 173 86.63%
34 42 TT442 two pairs 144 0.57% 1 : 173 86.06%
35 33 TT433 two pairs 144 0.57% 1 : 173 85.48%
36 22 TT422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKTT4 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQTT4 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJTT4 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 ATT94 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 ATT84 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 ATT74 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 ATT64 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 ATT54 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 ATT43 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 ATT42 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQTT4 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJTT4 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KTT94 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KTT84 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KTT74 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KTT64 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KTT54 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KTT43 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KTT42 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJTT4 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QTT94 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QTT84 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QTT74 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QTT64 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QTT54 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QTT43 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QTT42 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JTT94 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JTT84 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JTT74 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 JTT64 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 JTT54 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JTT43 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JTT42 one pair 384 1.53% 1 : 64.2 33.73%
71 98 TT984 one pair 384 1.53% 1 : 64.2 32.20%
72 97 TT974 one pair 384 1.53% 1 : 64.2 30.67%
73 96 TT964 one pair 384 1.53% 1 : 64.2 29.13%
74 95 TT954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 TT943 one pair 384 1.53% 1 : 64.2 26.07%
76 92 TT942 one pair 384 1.53% 1 : 64.2 24.53%
77 87 TT874 one pair 384 1.53% 1 : 64.2 23.00%
78 86 TT864 one pair 384 1.53% 1 : 64.2 21.47%
79 85 TT854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 TT843 one pair 384 1.53% 1 : 64.2 18.40%
81 82 TT842 one pair 384 1.53% 1 : 64.2 16.87%
82 76 TT764 one pair 384 1.53% 1 : 64.2 15.33%
83 75 TT754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 TT743 one pair 384 1.53% 1 : 64.2 12.27%
85 72 TT742 one pair 384 1.53% 1 : 64.2 10.73%
86 65 TT654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 TT643 one pair 384 1.53% 1 : 64.2 7.67%
88 62 TT642 one pair 384 1.53% 1 : 64.2 6.13%
89 53 TT543 one pair 384 1.53% 1 : 64.2 4.60%
90 52 TT542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 TT432 one pair 384 1.53% 1 : 64.2 1.53%