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 77 T7777 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 TT TTT77 full house 24 0.10% 1 : 1043 99.98%
3 T7 TT777 full house 24 0.10% 1 : 1043 99.89%
 
4 A7 AT777 three of a kind 64 0.26% 1 : 390 99.79%
5 K7 KT777 three of a kind 64 0.26% 1 : 390 99.54%
6 Q7 QT777 three of a kind 64 0.26% 1 : 390 99.28%
7 J7 JT777 three of a kind 64 0.26% 1 : 390 99.03%
8 97 T9777 three of a kind 64 0.26% 1 : 390 98.77%
9 87 T8777 three of a kind 64 0.26% 1 : 390 98.51%
10 76 T7776 three of a kind 64 0.26% 1 : 390 98.26%
11 75 T7775 three of a kind 64 0.26% 1 : 390 98.00%
12 74 T7774 three of a kind 64 0.26% 1 : 390 97.75%
13 73 T7773 three of a kind 64 0.26% 1 : 390 97.49%
14 72 T7772 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAT77 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKT77 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQT77 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJT77 two pairs 144 0.57% 1 : 173 95.26%
19 AT ATT77 two pairs 144 0.57% 1 : 173 94.68%
20 KT KTT77 two pairs 144 0.57% 1 : 173 94.11%
21 QT QTT77 two pairs 144 0.57% 1 : 173 93.53%
22 JT JTT77 two pairs 144 0.57% 1 : 173 92.96%
23 T9 TT977 two pairs 144 0.57% 1 : 173 92.38%
24 T8 TT877 two pairs 144 0.57% 1 : 173 91.81%
25 T6 TT776 two pairs 144 0.57% 1 : 173 91.23%
26 T5 TT775 two pairs 144 0.57% 1 : 173 90.66%
27 T4 TT774 two pairs 144 0.57% 1 : 173 90.08%
28 T3 TT773 two pairs 144 0.57% 1 : 173 89.51%
29 T2 TT772 two pairs 144 0.57% 1 : 173 88.93%
30 99 T9977 two pairs 144 0.57% 1 : 173 88.36%
31 88 T8877 two pairs 144 0.57% 1 : 173 87.78%
32 66 T7766 two pairs 144 0.57% 1 : 173 87.21%
33 55 T7755 two pairs 144 0.57% 1 : 173 86.63%
34 44 T7744 two pairs 144 0.57% 1 : 173 86.06%
35 33 T7733 two pairs 144 0.57% 1 : 173 85.48%
36 22 T7722 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKT77 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQT77 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJT77 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AT977 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AT877 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AT776 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AT775 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AT774 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AT773 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AT772 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQT77 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJT77 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KT977 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KT877 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KT776 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KT775 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KT774 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KT773 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KT772 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJT77 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QT977 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QT877 one pair 384 1.53% 1 : 64.2 52.13%
59 Q6 QT776 one pair 384 1.53% 1 : 64.2 50.60%
60 Q5 QT775 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 QT774 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 QT773 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QT772 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JT977 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JT877 one pair 384 1.53% 1 : 64.2 41.40%
66 J6 JT776 one pair 384 1.53% 1 : 64.2 39.87%
67 J5 JT775 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 JT774 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 JT773 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JT772 one pair 384 1.53% 1 : 64.2 33.73%
71 98 T9877 one pair 384 1.53% 1 : 64.2 32.20%
72 96 T9776 one pair 384 1.53% 1 : 64.2 30.67%
73 95 T9775 one pair 384 1.53% 1 : 64.2 29.13%
74 94 T9774 one pair 384 1.53% 1 : 64.2 27.60%
75 93 T9773 one pair 384 1.53% 1 : 64.2 26.07%
76 92 T9772 one pair 384 1.53% 1 : 64.2 24.53%
77 86 T8776 one pair 384 1.53% 1 : 64.2 23.00%
78 85 T8775 one pair 384 1.53% 1 : 64.2 21.47%
79 84 T8774 one pair 384 1.53% 1 : 64.2 19.93%
80 83 T8773 one pair 384 1.53% 1 : 64.2 18.40%
81 82 T8772 one pair 384 1.53% 1 : 64.2 16.87%
82 65 T7765 one pair 384 1.53% 1 : 64.2 15.33%
83 64 T7764 one pair 384 1.53% 1 : 64.2 13.80%
84 63 T7763 one pair 384 1.53% 1 : 64.2 12.27%
85 62 T7762 one pair 384 1.53% 1 : 64.2 10.73%
86 54 T7754 one pair 384 1.53% 1 : 64.2 9.20%
87 53 T7753 one pair 384 1.53% 1 : 64.2 7.67%
88 52 T7752 one pair 384 1.53% 1 : 64.2 6.13%
89 43 T7743 one pair 384 1.53% 1 : 64.2 4.60%
90 42 T7742 one pair 384 1.53% 1 : 64.2 3.07%
91 32 T7732 one pair 384 1.53% 1 : 64.2 1.53%