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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 J3333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 JJ JJJ33 full house 24 0.10% 1 : 1043 99.98%
3 J3 JJ333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 AJ333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 KJ333 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 QJ333 three of a kind 64 0.26% 1 : 390 99.28%
7 T3 JT333 three of a kind 64 0.26% 1 : 390 99.03%
8 93 J9333 three of a kind 64 0.26% 1 : 390 98.77%
9 83 J8333 three of a kind 64 0.26% 1 : 390 98.51%
10 73 J7333 three of a kind 64 0.26% 1 : 390 98.26%
11 63 J6333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 J5333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 J4333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 J3332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAJ33 two pairs 144 0.57% 1 : 173 96.98%
16 KK KKJ33 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQJ33 two pairs 144 0.57% 1 : 173 95.83%
18 AJ AJJ33 two pairs 144 0.57% 1 : 173 95.26%
19 KJ KJJ33 two pairs 144 0.57% 1 : 173 94.68%
20 QJ QJJ33 two pairs 144 0.57% 1 : 173 94.11%
21 JT JJT33 two pairs 144 0.57% 1 : 173 93.53%
22 J9 JJ933 two pairs 144 0.57% 1 : 173 92.96%
23 J8 JJ833 two pairs 144 0.57% 1 : 173 92.38%
24 J7 JJ733 two pairs 144 0.57% 1 : 173 91.81%
25 J6 JJ633 two pairs 144 0.57% 1 : 173 91.23%
26 J5 JJ533 two pairs 144 0.57% 1 : 173 90.66%
27 J4 JJ433 two pairs 144 0.57% 1 : 173 90.08%
28 J2 JJ332 two pairs 144 0.57% 1 : 173 89.51%
29 TT JTT33 two pairs 144 0.57% 1 : 173 88.93%
30 99 J9933 two pairs 144 0.57% 1 : 173 88.36%
31 88 J8833 two pairs 144 0.57% 1 : 173 87.78%
32 77 J7733 two pairs 144 0.57% 1 : 173 87.21%
33 66 J6633 two pairs 144 0.57% 1 : 173 86.63%
34 55 J5533 two pairs 144 0.57% 1 : 173 86.06%
35 44 J4433 two pairs 144 0.57% 1 : 173 85.48%
36 22 J3322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKJ33 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQJ33 one pair 384 1.53% 1 : 64.2 82.80%
39 AT AJT33 one pair 384 1.53% 1 : 64.2 81.26%
40 A9 AJ933 one pair 384 1.53% 1 : 64.2 79.73%
41 A8 AJ833 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 AJ733 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 AJ633 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 AJ533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 AJ433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AJ332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQJ33 one pair 384 1.53% 1 : 64.2 69.00%
48 KT KJT33 one pair 384 1.53% 1 : 64.2 67.47%
49 K9 KJ933 one pair 384 1.53% 1 : 64.2 65.93%
50 K8 KJ833 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 KJ733 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 KJ633 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 KJ533 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 KJ433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KJ332 one pair 384 1.53% 1 : 64.2 56.73%
56 QT QJT33 one pair 384 1.53% 1 : 64.2 55.20%
57 Q9 QJ933 one pair 384 1.53% 1 : 64.2 53.67%
58 Q8 QJ833 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 QJ733 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 QJ633 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 QJ533 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 QJ433 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 QJ332 one pair 384 1.53% 1 : 64.2 44.47%
64 T9 JT933 one pair 384 1.53% 1 : 64.2 42.93%
65 T8 JT833 one pair 384 1.53% 1 : 64.2 41.40%
66 T7 JT733 one pair 384 1.53% 1 : 64.2 39.87%
67 T6 JT633 one pair 384 1.53% 1 : 64.2 38.33%
68 T5 JT533 one pair 384 1.53% 1 : 64.2 36.80%
69 T4 JT433 one pair 384 1.53% 1 : 64.2 35.27%
70 T2 JT332 one pair 384 1.53% 1 : 64.2 33.73%
71 98 J9833 one pair 384 1.53% 1 : 64.2 32.20%
72 97 J9733 one pair 384 1.53% 1 : 64.2 30.67%
73 96 J9633 one pair 384 1.53% 1 : 64.2 29.13%
74 95 J9533 one pair 384 1.53% 1 : 64.2 27.60%
75 94 J9433 one pair 384 1.53% 1 : 64.2 26.07%
76 92 J9332 one pair 384 1.53% 1 : 64.2 24.53%
77 87 J8733 one pair 384 1.53% 1 : 64.2 23.00%
78 86 J8633 one pair 384 1.53% 1 : 64.2 21.47%
79 85 J8533 one pair 384 1.53% 1 : 64.2 19.93%
80 84 J8433 one pair 384 1.53% 1 : 64.2 18.40%
81 82 J8332 one pair 384 1.53% 1 : 64.2 16.87%
82 76 J7633 one pair 384 1.53% 1 : 64.2 15.33%
83 75 J7533 one pair 384 1.53% 1 : 64.2 13.80%
84 74 J7433 one pair 384 1.53% 1 : 64.2 12.27%
85 72 J7332 one pair 384 1.53% 1 : 64.2 10.73%
86 65 J6533 one pair 384 1.53% 1 : 64.2 9.20%
87 64 J6433 one pair 384 1.53% 1 : 64.2 7.67%
88 62 J6332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 J5433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 J5332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 J4332 one pair 384 1.53% 1 : 64.2 1.53%