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 Q3333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQ33 full house 24 0.10% 1 : 1043 99.98%
3 Q3 QQ333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 AQ333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 KQ333 three of a kind 64 0.26% 1 : 390 99.54%
6 J3 QJ333 three of a kind 64 0.26% 1 : 390 99.28%
7 T3 QT333 three of a kind 64 0.26% 1 : 390 99.03%
8 93 Q9333 three of a kind 64 0.26% 1 : 390 98.77%
9 83 Q8333 three of a kind 64 0.26% 1 : 390 98.51%
10 73 Q7333 three of a kind 64 0.26% 1 : 390 98.26%
11 63 Q6333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 Q5333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 Q4333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 Q3332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQ33 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQ33 two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQ33 two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQ33 two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJ33 two pairs 144 0.57% 1 : 173 94.68%
20 QT QQT33 two pairs 144 0.57% 1 : 173 94.11%
21 Q9 QQ933 two pairs 144 0.57% 1 : 173 93.53%
22 Q8 QQ833 two pairs 144 0.57% 1 : 173 92.96%
23 Q7 QQ733 two pairs 144 0.57% 1 : 173 92.38%
24 Q6 QQ633 two pairs 144 0.57% 1 : 173 91.81%
25 Q5 QQ533 two pairs 144 0.57% 1 : 173 91.23%
26 Q4 QQ433 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQ332 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJ33 two pairs 144 0.57% 1 : 173 89.51%
29 TT QTT33 two pairs 144 0.57% 1 : 173 88.93%
30 99 Q9933 two pairs 144 0.57% 1 : 173 88.36%
31 88 Q8833 two pairs 144 0.57% 1 : 173 87.78%
32 77 Q7733 two pairs 144 0.57% 1 : 173 87.21%
33 66 Q6633 two pairs 144 0.57% 1 : 173 86.63%
34 55 Q5533 two pairs 144 0.57% 1 : 173 86.06%
35 44 Q4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 Q3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQ33 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJ33 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AQT33 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AQ933 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AQ833 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AQ733 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AQ633 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AQ533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AQ433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQ332 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJ33 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KQT33 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KQ933 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KQ833 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KQ733 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KQ633 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KQ533 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KQ433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQ332 one pair 384 1.53% 1 : 64.2 56.73%
56 JT QJT33 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 QJ933 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 QJ833 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 QJ733 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 QJ633 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 QJ533 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 QJ433 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QJ332 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 QT933 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 QT833 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 QT733 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 QT633 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 QT533 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 QT433 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 QT332 one pair 384 1.53% 1 : 64.2 33.73%
71 98 Q9833 one pair 384 1.53% 1 : 64.2 32.20%
72 97 Q9733 one pair 384 1.53% 1 : 64.2 30.67%
73 96 Q9633 one pair 384 1.53% 1 : 64.2 29.13%
74 95 Q9533 one pair 384 1.53% 1 : 64.2 27.60%
75 94 Q9433 one pair 384 1.53% 1 : 64.2 26.07%
76 92 Q9332 one pair 384 1.53% 1 : 64.2 24.53%
77 87 Q8733 one pair 384 1.53% 1 : 64.2 23.00%
78 86 Q8633 one pair 384 1.53% 1 : 64.2 21.47%
79 85 Q8533 one pair 384 1.53% 1 : 64.2 19.93%
80 84 Q8433 one pair 384 1.53% 1 : 64.2 18.40%
81 82 Q8332 one pair 384 1.53% 1 : 64.2 16.87%
82 76 Q7633 one pair 384 1.53% 1 : 64.2 15.33%
83 75 Q7533 one pair 384 1.53% 1 : 64.2 13.80%
84 74 Q7433 one pair 384 1.53% 1 : 64.2 12.27%
85 72 Q7332 one pair 384 1.53% 1 : 64.2 10.73%
86 65 Q6533 one pair 384 1.53% 1 : 64.2 9.20%
87 64 Q6433 one pair 384 1.53% 1 : 64.2 7.67%
88 62 Q6332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 Q5433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 Q5332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 Q4332 one pair 384 1.53% 1 : 64.2 1.53%