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 TTTT6 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 T6 TTT66 full house 24 0.10% 1 : 1043 99.98%
3 66 TT666 full house 24 0.10% 1 : 1043 99.89%
 
4 AT ATTT6 three of a kind 64 0.26% 1 : 390 99.79%
5 KT KTTT6 three of a kind 64 0.26% 1 : 390 99.54%
6 QT QTTT6 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JTTT6 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 TTT96 three of a kind 64 0.26% 1 : 390 98.77%
9 T8 TTT86 three of a kind 64 0.26% 1 : 390 98.51%
10 T7 TTT76 three of a kind 64 0.26% 1 : 390 98.26%
11 T5 TTT65 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 TTT64 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 TTT63 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 TTT62 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AATT6 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKTT6 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQTT6 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJTT6 two pairs 144 0.57% 1 : 173 95.26%
19 99 TT996 two pairs 144 0.57% 1 : 173 94.68%
20 88 TT886 two pairs 144 0.57% 1 : 173 94.11%
21 77 TT776 two pairs 144 0.57% 1 : 173 93.53%
22 A6 ATT66 two pairs 144 0.57% 1 : 173 92.96%
23 K6 KTT66 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 QTT66 two pairs 144 0.57% 1 : 173 91.81%
25 J6 JTT66 two pairs 144 0.57% 1 : 173 91.23%
26 96 TT966 two pairs 144 0.57% 1 : 173 90.66%
27 86 TT866 two pairs 144 0.57% 1 : 173 90.08%
28 76 TT766 two pairs 144 0.57% 1 : 173 89.51%
29 65 TT665 two pairs 144 0.57% 1 : 173 88.93%
30 64 TT664 two pairs 144 0.57% 1 : 173 88.36%
31 63 TT663 two pairs 144 0.57% 1 : 173 87.78%
32 62 TT662 two pairs 144 0.57% 1 : 173 87.21%
33 55 TT655 two pairs 144 0.57% 1 : 173 86.63%
34 44 TT644 two pairs 144 0.57% 1 : 173 86.06%
35 33 TT633 two pairs 144 0.57% 1 : 173 85.48%
36 22 TT622 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKTT6 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQTT6 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJTT6 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 ATT96 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 ATT86 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 ATT76 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 ATT65 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 ATT64 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 ATT63 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 ATT62 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQTT6 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJTT6 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KTT96 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KTT86 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KTT76 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KTT65 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KTT64 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KTT63 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KTT62 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJTT6 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QTT96 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QTT86 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QTT76 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QTT65 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QTT64 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QTT63 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QTT62 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JTT96 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JTT86 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JTT76 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 JTT65 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JTT64 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JTT63 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JTT62 one pair 384 1.53% 1 : 64.2 33.73%
71 98 TT986 one pair 384 1.53% 1 : 64.2 32.20%
72 97 TT976 one pair 384 1.53% 1 : 64.2 30.67%
73 95 TT965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 TT964 one pair 384 1.53% 1 : 64.2 27.60%
75 93 TT963 one pair 384 1.53% 1 : 64.2 26.07%
76 92 TT962 one pair 384 1.53% 1 : 64.2 24.53%
77 87 TT876 one pair 384 1.53% 1 : 64.2 23.00%
78 85 TT865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 TT864 one pair 384 1.53% 1 : 64.2 19.93%
80 83 TT863 one pair 384 1.53% 1 : 64.2 18.40%
81 82 TT862 one pair 384 1.53% 1 : 64.2 16.87%
82 75 TT765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 TT764 one pair 384 1.53% 1 : 64.2 13.80%
84 73 TT763 one pair 384 1.53% 1 : 64.2 12.27%
85 72 TT762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 TT654 one pair 384 1.53% 1 : 64.2 9.20%
87 53 TT653 one pair 384 1.53% 1 : 64.2 7.67%
88 52 TT652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 TT643 one pair 384 1.53% 1 : 64.2 4.60%
90 42 TT642 one pair 384 1.53% 1 : 64.2 3.07%
91 32 TT632 one pair 384 1.53% 1 : 64.2 1.53%