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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 12 48 1.05% 1 : 94.0
full house 12 288 6.32% 1 : 14.8
flush 0 0 impossible impossible
straight 0 0 impossible impossible
three of a kind 66 4,224 92.63% 12.6 : 1
two pairs 0 0 impossible impossible
one pair 0 0 impossible impossible
high card 0 0 impossible impossible
total 90 4,560 100 %



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 90 distinct hole cards
hole cards hand category combinations probability odds equity
nuts AQ AQQQQ four of a kind 4 0.09% 1 : 1139 100.00%
2 KQ KQQQQ four of a kind 4 0.09% 1 : 1139 99.91%
3 QJ QQQQJ four of a kind 4 0.09% 1 : 1139 99.82%
4 QT QQQQT four of a kind 4 0.09% 1 : 1139 99.74%
5 Q9 QQQQ9 four of a kind 4 0.09% 1 : 1139 99.65%
6 Q8 QQQQ8 four of a kind 4 0.09% 1 : 1139 99.56%
7 Q7 QQQQ7 four of a kind 4 0.09% 1 : 1139 99.47%
8 Q6 QQQQ6 four of a kind 4 0.09% 1 : 1139 99.39%
9 Q5 QQQQ5 four of a kind 4 0.09% 1 : 1139 99.30%
10 Q4 QQQQ4 four of a kind 4 0.09% 1 : 1139 99.21%
11 Q3 QQQQ3 four of a kind 4 0.09% 1 : 1139 99.12%
12 Q2 QQQQ2 four of a kind 4 0.09% 1 : 1139 99.04%
 
13 AA AAQQQ full house 24 0.53% 1 : 189 98.95%
14 KK KKQQQ full house 24 0.53% 1 : 189 98.42%
15 JJ QQQJJ full house 24 0.53% 1 : 189 97.89%
16 TT QQQTT full house 24 0.53% 1 : 189 97.37%
17 99 QQQ99 full house 24 0.53% 1 : 189 96.84%
18 88 QQQ88 full house 24 0.53% 1 : 189 96.32%
19 77 QQQ77 full house 24 0.53% 1 : 189 95.79%
20 66 QQQ66 full house 24 0.53% 1 : 189 95.26%
21 55 QQQ55 full house 24 0.53% 1 : 189 94.74%
22 44 QQQ44 full house 24 0.53% 1 : 189 94.21%
23 33 QQQ33 full house 24 0.53% 1 : 189 93.68%
24 22 QQQ22 full house 24 0.53% 1 : 189 93.16%
 
25 AK AKQQQ three of a kind 64 1.40% 1 : 70.3 92.63%
26 AJ AQQQJ three of a kind 64 1.40% 1 : 70.3 91.23%
27 AT AQQQT three of a kind 64 1.40% 1 : 70.3 89.82%
28 A9 AQQQ9 three of a kind 64 1.40% 1 : 70.3 88.42%
29 A8 AQQQ8 three of a kind 64 1.40% 1 : 70.3 87.02%
30 A7 AQQQ7 three of a kind 64 1.40% 1 : 70.3 85.61%
31 A6 AQQQ6 three of a kind 64 1.40% 1 : 70.3 84.21%
32 A5 AQQQ5 three of a kind 64 1.40% 1 : 70.3 82.81%
33 A4 AQQQ4 three of a kind 64 1.40% 1 : 70.3 81.40%
34 A3 AQQQ3 three of a kind 64 1.40% 1 : 70.3 80.00%
35 A2 AQQQ2 three of a kind 64 1.40% 1 : 70.3 78.60%
36 KJ KQQQJ three of a kind 64 1.40% 1 : 70.3 77.19%
37 KT KQQQT three of a kind 64 1.40% 1 : 70.3 75.79%
38 K9 KQQQ9 three of a kind 64 1.40% 1 : 70.3 74.39%
39 K8 KQQQ8 three of a kind 64 1.40% 1 : 70.3 72.98%
40 K7 KQQQ7 three of a kind 64 1.40% 1 : 70.3 71.58%
41 K6 KQQQ6 three of a kind 64 1.40% 1 : 70.3 70.18%
42 K5 KQQQ5 three of a kind 64 1.40% 1 : 70.3 68.77%
43 K4 KQQQ4 three of a kind 64 1.40% 1 : 70.3 67.37%
44 K3 KQQQ3 three of a kind 64 1.40% 1 : 70.3 65.96%
45 K2 KQQQ2 three of a kind 64 1.40% 1 : 70.3 64.56%
46 JT QQQJT three of a kind 64 1.40% 1 : 70.3 63.16%
47 J9 QQQJ9 three of a kind 64 1.40% 1 : 70.3 61.75%
48 J8 QQQJ8 three of a kind 64 1.40% 1 : 70.3 60.35%
49 J7 QQQJ7 three of a kind 64 1.40% 1 : 70.3 58.95%
50 J6 QQQJ6 three of a kind 64 1.40% 1 : 70.3 57.54%
51 J5 QQQJ5 three of a kind 64 1.40% 1 : 70.3 56.14%
52 J4 QQQJ4 three of a kind 64 1.40% 1 : 70.3 54.74%
53 J3 QQQJ3 three of a kind 64 1.40% 1 : 70.3 53.33%
54 J2 QQQJ2 three of a kind 64 1.40% 1 : 70.3 51.93%
55 T9 QQQT9 three of a kind 64 1.40% 1 : 70.3 50.53%
56 T8 QQQT8 three of a kind 64 1.40% 1 : 70.3 49.12%
57 T7 QQQT7 three of a kind 64 1.40% 1 : 70.3 47.72%
58 T6 QQQT6 three of a kind 64 1.40% 1 : 70.3 46.32%
59 T5 QQQT5 three of a kind 64 1.40% 1 : 70.3 44.91%
60 T4 QQQT4 three of a kind 64 1.40% 1 : 70.3 43.51%
61 T3 QQQT3 three of a kind 64 1.40% 1 : 70.3 42.11%
62 T2 QQQT2 three of a kind 64 1.40% 1 : 70.3 40.70%
63 98 QQQ98 three of a kind 64 1.40% 1 : 70.3 39.30%
64 97 QQQ97 three of a kind 64 1.40% 1 : 70.3 37.89%
65 96 QQQ96 three of a kind 64 1.40% 1 : 70.3 36.49%
66 95 QQQ95 three of a kind 64 1.40% 1 : 70.3 35.09%
67 94 QQQ94 three of a kind 64 1.40% 1 : 70.3 33.68%
68 93 QQQ93 three of a kind 64 1.40% 1 : 70.3 32.28%
69 92 QQQ92 three of a kind 64 1.40% 1 : 70.3 30.88%
70 87 QQQ87 three of a kind 64 1.40% 1 : 70.3 29.47%
71 86 QQQ86 three of a kind 64 1.40% 1 : 70.3 28.07%
72 85 QQQ85 three of a kind 64 1.40% 1 : 70.3 26.67%
73 84 QQQ84 three of a kind 64 1.40% 1 : 70.3 25.26%
74 83 QQQ83 three of a kind 64 1.40% 1 : 70.3 23.86%
75 82 QQQ82 three of a kind 64 1.40% 1 : 70.3 22.46%
76 76 QQQ76 three of a kind 64 1.40% 1 : 70.3 21.05%
77 75 QQQ75 three of a kind 64 1.40% 1 : 70.3 19.65%
78 74 QQQ74 three of a kind 64 1.40% 1 : 70.3 18.25%
79 73 QQQ73 three of a kind 64 1.40% 1 : 70.3 16.84%
80 72 QQQ72 three of a kind 64 1.40% 1 : 70.3 15.44%
81 65 QQQ65 three of a kind 64 1.40% 1 : 70.3 14.04%
82 64 QQQ64 three of a kind 64 1.40% 1 : 70.3 12.63%
83 63 QQQ63 three of a kind 64 1.40% 1 : 70.3 11.23%
84 62 QQQ62 three of a kind 64 1.40% 1 : 70.3 9.82%
85 54 QQQ54 three of a kind 64 1.40% 1 : 70.3 8.42%
86 53 QQQ53 three of a kind 64 1.40% 1 : 70.3 7.02%
87 52 QQQ52 three of a kind 64 1.40% 1 : 70.3 5.61%
88 43 QQQ43 three of a kind 64 1.40% 1 : 70.3 4.21%
89 42 QQQ42 three of a kind 64 1.40% 1 : 70.3 2.81%
90 32 QQQ32 three of a kind 64 1.40% 1 : 70.3 1.40%