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 TTTT5 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 T5 TTT55 full house 24 0.10% 1 : 1043 99.98%
3 55 TT555 full house 24 0.10% 1 : 1043 99.89%
 
4 AT ATTT5 three of a kind 64 0.26% 1 : 390 99.79%
5 KT KTTT5 three of a kind 64 0.26% 1 : 390 99.54%
6 QT QTTT5 three of a kind 64 0.26% 1 : 390 99.28%
7 JT JTTT5 three of a kind 64 0.26% 1 : 390 99.03%
8 T9 TTT95 three of a kind 64 0.26% 1 : 390 98.77%
9 T8 TTT85 three of a kind 64 0.26% 1 : 390 98.51%
10 T7 TTT75 three of a kind 64 0.26% 1 : 390 98.26%
11 T6 TTT65 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 TTT54 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 TTT53 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 TTT52 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AATT5 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKTT5 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQTT5 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJTT5 two pairs 144 0.57% 1 : 173 95.26%
19 99 TT995 two pairs 144 0.57% 1 : 173 94.68%
20 88 TT885 two pairs 144 0.57% 1 : 173 94.11%
21 77 TT775 two pairs 144 0.57% 1 : 173 93.53%
22 66 TT665 two pairs 144 0.57% 1 : 173 92.96%
23 A5 ATT55 two pairs 144 0.57% 1 : 173 92.38%
24 K5 KTT55 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 QTT55 two pairs 144 0.57% 1 : 173 91.23%
26 J5 JTT55 two pairs 144 0.57% 1 : 173 90.66%
27 95 TT955 two pairs 144 0.57% 1 : 173 90.08%
28 85 TT855 two pairs 144 0.57% 1 : 173 89.51%
29 75 TT755 two pairs 144 0.57% 1 : 173 88.93%
30 65 TT655 two pairs 144 0.57% 1 : 173 88.36%
31 54 TT554 two pairs 144 0.57% 1 : 173 87.78%
32 53 TT553 two pairs 144 0.57% 1 : 173 87.21%
33 52 TT552 two pairs 144 0.57% 1 : 173 86.63%
34 44 TT544 two pairs 144 0.57% 1 : 173 86.06%
35 33 TT533 two pairs 144 0.57% 1 : 173 85.48%
36 22 TT522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKTT5 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQTT5 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJTT5 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 ATT95 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 ATT85 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 ATT75 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 ATT65 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 ATT54 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 ATT53 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 ATT52 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQTT5 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJTT5 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KTT95 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KTT85 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KTT75 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KTT65 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KTT54 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KTT53 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KTT52 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJTT5 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QTT95 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QTT85 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QTT75 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QTT65 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QTT54 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QTT53 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QTT52 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JTT95 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JTT85 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JTT75 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 JTT65 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JTT54 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JTT53 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JTT52 one pair 384 1.53% 1 : 64.2 33.73%
71 98 TT985 one pair 384 1.53% 1 : 64.2 32.20%
72 97 TT975 one pair 384 1.53% 1 : 64.2 30.67%
73 96 TT965 one pair 384 1.53% 1 : 64.2 29.13%
74 94 TT954 one pair 384 1.53% 1 : 64.2 27.60%
75 93 TT953 one pair 384 1.53% 1 : 64.2 26.07%
76 92 TT952 one pair 384 1.53% 1 : 64.2 24.53%
77 87 TT875 one pair 384 1.53% 1 : 64.2 23.00%
78 86 TT865 one pair 384 1.53% 1 : 64.2 21.47%
79 84 TT854 one pair 384 1.53% 1 : 64.2 19.93%
80 83 TT853 one pair 384 1.53% 1 : 64.2 18.40%
81 82 TT852 one pair 384 1.53% 1 : 64.2 16.87%
82 76 TT765 one pair 384 1.53% 1 : 64.2 15.33%
83 74 TT754 one pair 384 1.53% 1 : 64.2 13.80%
84 73 TT753 one pair 384 1.53% 1 : 64.2 12.27%
85 72 TT752 one pair 384 1.53% 1 : 64.2 10.73%
86 64 TT654 one pair 384 1.53% 1 : 64.2 9.20%
87 63 TT653 one pair 384 1.53% 1 : 64.2 7.67%
88 62 TT652 one pair 384 1.53% 1 : 64.2 6.13%
89 43 TT543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 TT542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 TT532 one pair 384 1.53% 1 : 64.2 1.53%