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 33 T3333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 TT TTT33 full house 24 0.10% 1 : 1043 99.98%
3 T3 TT333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 AT333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 KT333 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 QT333 three of a kind 64 0.26% 1 : 390 99.28%
7 J3 JT333 three of a kind 64 0.26% 1 : 390 99.03%
8 93 T9333 three of a kind 64 0.26% 1 : 390 98.77%
9 83 T8333 three of a kind 64 0.26% 1 : 390 98.51%
10 73 T7333 three of a kind 64 0.26% 1 : 390 98.26%
11 63 T6333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 T5333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 T4333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 T3332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAT33 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKT33 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQT33 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJT33 two pairs 144 0.57% 1 : 173 95.26%
19 AT ATT33 two pairs 144 0.57% 1 : 173 94.68%
20 KT KTT33 two pairs 144 0.57% 1 : 173 94.11%
21 QT QTT33 two pairs 144 0.57% 1 : 173 93.53%
22 JT JTT33 two pairs 144 0.57% 1 : 173 92.96%
23 T9 TT933 two pairs 144 0.57% 1 : 173 92.38%
24 T8 TT833 two pairs 144 0.57% 1 : 173 91.81%
25 T7 TT733 two pairs 144 0.57% 1 : 173 91.23%
26 T6 TT633 two pairs 144 0.57% 1 : 173 90.66%
27 T5 TT533 two pairs 144 0.57% 1 : 173 90.08%
28 T4 TT433 two pairs 144 0.57% 1 : 173 89.51%
29 T2 TT332 two pairs 144 0.57% 1 : 173 88.93%
30 99 T9933 two pairs 144 0.57% 1 : 173 88.36%
31 88 T8833 two pairs 144 0.57% 1 : 173 87.78%
32 77 T7733 two pairs 144 0.57% 1 : 173 87.21%
33 66 T6633 two pairs 144 0.57% 1 : 173 86.63%
34 55 T5533 two pairs 144 0.57% 1 : 173 86.06%
35 44 T4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 T3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKT33 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQT33 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJT33 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AT933 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AT833 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AT733 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AT633 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AT533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AT433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AT332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQT33 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJT33 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KT933 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KT833 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KT733 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KT633 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KT533 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KT433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KT332 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJT33 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QT933 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QT833 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QT733 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QT633 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QT533 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 QT433 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QT332 one pair 384 1.53% 1 : 64.2 44.47%
64 J9 JT933 one pair 384 1.53% 1 : 64.2 42.93%
65 J8 JT833 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 JT733 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 JT633 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 JT533 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 JT433 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 JT332 one pair 384 1.53% 1 : 64.2 33.73%
71 98 T9833 one pair 384 1.53% 1 : 64.2 32.20%
72 97 T9733 one pair 384 1.53% 1 : 64.2 30.67%
73 96 T9633 one pair 384 1.53% 1 : 64.2 29.13%
74 95 T9533 one pair 384 1.53% 1 : 64.2 27.60%
75 94 T9433 one pair 384 1.53% 1 : 64.2 26.07%
76 92 T9332 one pair 384 1.53% 1 : 64.2 24.53%
77 87 T8733 one pair 384 1.53% 1 : 64.2 23.00%
78 86 T8633 one pair 384 1.53% 1 : 64.2 21.47%
79 85 T8533 one pair 384 1.53% 1 : 64.2 19.93%
80 84 T8433 one pair 384 1.53% 1 : 64.2 18.40%
81 82 T8332 one pair 384 1.53% 1 : 64.2 16.87%
82 76 T7633 one pair 384 1.53% 1 : 64.2 15.33%
83 75 T7533 one pair 384 1.53% 1 : 64.2 13.80%
84 74 T7433 one pair 384 1.53% 1 : 64.2 12.27%
85 72 T7332 one pair 384 1.53% 1 : 64.2 10.73%
86 65 T6533 one pair 384 1.53% 1 : 64.2 9.20%
87 64 T6433 one pair 384 1.53% 1 : 64.2 7.67%
88 62 T6332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 T5433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 T5332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 T4332 one pair 384 1.53% 1 : 64.2 1.53%