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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 K3333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKK33 full house 24 0.10% 1 : 1043 99.98%
3 K3 KK333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 AK333 three of a kind 64 0.26% 1 : 390 99.79%
5 Q3 KQ333 three of a kind 64 0.26% 1 : 390 99.54%
6 J3 KJ333 three of a kind 64 0.26% 1 : 390 99.28%
7 T3 KT333 three of a kind 64 0.26% 1 : 390 99.03%
8 93 K9333 three of a kind 64 0.26% 1 : 390 98.77%
9 83 K8333 three of a kind 64 0.26% 1 : 390 98.51%
10 73 K7333 three of a kind 64 0.26% 1 : 390 98.26%
11 63 K6333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 K5333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 K4333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 K3332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAK33 two pairs 144 0.57% 1 : 173 96.98%
16 AK AKK33 two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQ33 two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJ33 two pairs 144 0.57% 1 : 173 95.26%
19 KT KKT33 two pairs 144 0.57% 1 : 173 94.68%
20 K9 KK933 two pairs 144 0.57% 1 : 173 94.11%
21 K8 KK833 two pairs 144 0.57% 1 : 173 93.53%
22 K7 KK733 two pairs 144 0.57% 1 : 173 92.96%
23 K6 KK633 two pairs 144 0.57% 1 : 173 92.38%
24 K5 KK533 two pairs 144 0.57% 1 : 173 91.81%
25 K4 KK433 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KK332 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQ33 two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJ33 two pairs 144 0.57% 1 : 173 89.51%
29 TT KTT33 two pairs 144 0.57% 1 : 173 88.93%
30 99 K9933 two pairs 144 0.57% 1 : 173 88.36%
31 88 K8833 two pairs 144 0.57% 1 : 173 87.78%
32 77 K7733 two pairs 144 0.57% 1 : 173 87.21%
33 66 K6633 two pairs 144 0.57% 1 : 173 86.63%
34 55 K5533 two pairs 144 0.57% 1 : 173 86.06%
35 44 K4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 K3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQ33 one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJ33 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AKT33 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AK933 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AK833 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AK733 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AK633 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AK533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AK433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AK332 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJ33 one pair 384 1.53% 1 : 64.2 69.00%
48 QT KQT33 one pair 384 1.53% 1 : 64.2 67.47%
49 Q9 KQ933 one pair 384 1.53% 1 : 64.2 65.93%
50 Q8 KQ833 one pair 384 1.53% 1 : 64.2 64.40%
51 Q7 KQ733 one pair 384 1.53% 1 : 64.2 62.87%
52 Q6 KQ633 one pair 384 1.53% 1 : 64.2 61.33%
53 Q5 KQ533 one pair 384 1.53% 1 : 64.2 59.80%
54 Q4 KQ433 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQ332 one pair 384 1.53% 1 : 64.2 56.73%
56 JT KJT33 one pair 384 1.53% 1 : 64.2 55.20%
57 J9 KJ933 one pair 384 1.53% 1 : 64.2 53.67%
58 J8 KJ833 one pair 384 1.53% 1 : 64.2 52.13%
59 J7 KJ733 one pair 384 1.53% 1 : 64.2 50.60%
60 J6 KJ633 one pair 384 1.53% 1 : 64.2 49.07%
61 J5 KJ533 one pair 384 1.53% 1 : 64.2 47.53%
62 J4 KJ433 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KJ332 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 KT933 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 KT833 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 KT733 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 KT633 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 KT533 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 KT433 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 KT332 one pair 384 1.53% 1 : 64.2 33.73%
71 98 K9833 one pair 384 1.53% 1 : 64.2 32.20%
72 97 K9733 one pair 384 1.53% 1 : 64.2 30.67%
73 96 K9633 one pair 384 1.53% 1 : 64.2 29.13%
74 95 K9533 one pair 384 1.53% 1 : 64.2 27.60%
75 94 K9433 one pair 384 1.53% 1 : 64.2 26.07%
76 92 K9332 one pair 384 1.53% 1 : 64.2 24.53%
77 87 K8733 one pair 384 1.53% 1 : 64.2 23.00%
78 86 K8633 one pair 384 1.53% 1 : 64.2 21.47%
79 85 K8533 one pair 384 1.53% 1 : 64.2 19.93%
80 84 K8433 one pair 384 1.53% 1 : 64.2 18.40%
81 82 K8332 one pair 384 1.53% 1 : 64.2 16.87%
82 76 K7633 one pair 384 1.53% 1 : 64.2 15.33%
83 75 K7533 one pair 384 1.53% 1 : 64.2 13.80%
84 74 K7433 one pair 384 1.53% 1 : 64.2 12.27%
85 72 K7332 one pair 384 1.53% 1 : 64.2 10.73%
86 65 K6533 one pair 384 1.53% 1 : 64.2 9.20%
87 64 K6433 one pair 384 1.53% 1 : 64.2 7.67%
88 62 K6332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 K5433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 K5332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 K4332 one pair 384 1.53% 1 : 64.2 1.53%