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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 KK KKKKQ four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KQ KKKQQ full house 24 0.10% 1 : 1043 99.98%
3 QQ KKQQQ full house 24 0.10% 1 : 1043 99.89%
 
4 AK AKKKQ three of a kind 64 0.26% 1 : 390 99.79%
5 KJ KKKQJ three of a kind 64 0.26% 1 : 390 99.54%
6 KT KKKQT three of a kind 64 0.26% 1 : 390 99.28%
7 K9 KKKQ9 three of a kind 64 0.26% 1 : 390 99.03%
8 K8 KKKQ8 three of a kind 64 0.26% 1 : 390 98.77%
9 K7 KKKQ7 three of a kind 64 0.26% 1 : 390 98.51%
10 K6 KKKQ6 three of a kind 64 0.26% 1 : 390 98.26%
11 K5 KKKQ5 three of a kind 64 0.26% 1 : 390 98.00%
12 K4 KKKQ4 three of a kind 64 0.26% 1 : 390 97.75%
13 K3 KKKQ3 three of a kind 64 0.26% 1 : 390 97.49%
14 K2 KKKQ2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKKQ two pairs 144 0.57% 1 : 173 96.98%
16 AQ AKKQQ two pairs 144 0.57% 1 : 173 96.41%
17 QJ KKQQJ two pairs 144 0.57% 1 : 173 95.83%
18 QT KKQQT two pairs 144 0.57% 1 : 173 95.26%
19 Q9 KKQQ9 two pairs 144 0.57% 1 : 173 94.68%
20 Q8 KKQQ8 two pairs 144 0.57% 1 : 173 94.11%
21 Q7 KKQQ7 two pairs 144 0.57% 1 : 173 93.53%
22 Q6 KKQQ6 two pairs 144 0.57% 1 : 173 92.96%
23 Q5 KKQQ5 two pairs 144 0.57% 1 : 173 92.38%
24 Q4 KKQQ4 two pairs 144 0.57% 1 : 173 91.81%
25 Q3 KKQQ3 two pairs 144 0.57% 1 : 173 91.23%
26 Q2 KKQQ2 two pairs 144 0.57% 1 : 173 90.66%
27 JJ KKQJJ two pairs 144 0.57% 1 : 173 90.08%
28 TT KKQTT two pairs 144 0.57% 1 : 173 89.51%
29 99 KKQ99 two pairs 144 0.57% 1 : 173 88.93%
30 88 KKQ88 two pairs 144 0.57% 1 : 173 88.36%
31 77 KKQ77 two pairs 144 0.57% 1 : 173 87.78%
32 66 KKQ66 two pairs 144 0.57% 1 : 173 87.21%
33 55 KKQ55 two pairs 144 0.57% 1 : 173 86.63%
34 44 KKQ44 two pairs 144 0.57% 1 : 173 86.06%
35 33 KKQ33 two pairs 144 0.57% 1 : 173 85.48%
36 22 KKQ22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AJ AKKQJ one pair 384 1.53% 1 : 64.2 84.33%
38 AT AKKQT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AKKQ9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AKKQ8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AKKQ7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKKQ6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKKQ5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKKQ4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKKQ3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKKQ2 one pair 384 1.53% 1 : 64.2 70.53%
47 JT KKQJT one pair 384 1.53% 1 : 64.2 69.00%
48 J9 KKQJ9 one pair 384 1.53% 1 : 64.2 67.47%
49 J8 KKQJ8 one pair 384 1.53% 1 : 64.2 65.93%
50 J7 KKQJ7 one pair 384 1.53% 1 : 64.2 64.40%
51 J6 KKQJ6 one pair 384 1.53% 1 : 64.2 62.87%
52 J5 KKQJ5 one pair 384 1.53% 1 : 64.2 61.33%
53 J4 KKQJ4 one pair 384 1.53% 1 : 64.2 59.80%
54 J3 KKQJ3 one pair 384 1.53% 1 : 64.2 58.27%
55 J2 KKQJ2 one pair 384 1.53% 1 : 64.2 56.73%
56 T9 KKQT9 one pair 384 1.53% 1 : 64.2 55.20%
57 T8 KKQT8 one pair 384 1.53% 1 : 64.2 53.67%
58 T7 KKQT7 one pair 384 1.53% 1 : 64.2 52.13%
59 T6 KKQT6 one pair 384 1.53% 1 : 64.2 50.60%
60 T5 KKQT5 one pair 384 1.53% 1 : 64.2 49.07%
61 T4 KKQT4 one pair 384 1.53% 1 : 64.2 47.53%
62 T3 KKQT3 one pair 384 1.53% 1 : 64.2 46.00%
63 T2 KKQT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 KKQ98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 KKQ97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 KKQ96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 KKQ95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 KKQ94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 KKQ93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 KKQ92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 KKQ87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 KKQ86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 KKQ85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 KKQ84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 KKQ83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 KKQ82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 KKQ76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 KKQ75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 KKQ74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 KKQ73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 KKQ72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KKQ65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KKQ64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KKQ63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KKQ62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KKQ54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KKQ53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KKQ52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KKQ43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KKQ42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KKQ32 one pair 384 1.53% 1 : 64.2 1.53%