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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 QQ QQQQT four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QT QQQTT full house 24 0.10% 1 : 1043 99.98%
3 TT QQTTT full house 24 0.10% 1 : 1043 99.89%
 
4 AQ AQQQT three of a kind 64 0.26% 1 : 390 99.79%
5 KQ KQQQT three of a kind 64 0.26% 1 : 390 99.54%
6 QJ QQQJT three of a kind 64 0.26% 1 : 390 99.28%
7 Q9 QQQT9 three of a kind 64 0.26% 1 : 390 99.03%
8 Q8 QQQT8 three of a kind 64 0.26% 1 : 390 98.77%
9 Q7 QQQT7 three of a kind 64 0.26% 1 : 390 98.51%
10 Q6 QQQT6 three of a kind 64 0.26% 1 : 390 98.26%
11 Q5 QQQT5 three of a kind 64 0.26% 1 : 390 98.00%
12 Q4 QQQT4 three of a kind 64 0.26% 1 : 390 97.75%
13 Q3 QQQT3 three of a kind 64 0.26% 1 : 390 97.49%
14 Q2 QQQT2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQQT two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQQT two pairs 144 0.57% 1 : 173 96.41%
17 JJ QQJJT two pairs 144 0.57% 1 : 173 95.83%
18 AT AQQTT two pairs 144 0.57% 1 : 173 95.26%
19 KT KQQTT two pairs 144 0.57% 1 : 173 94.68%
20 JT QQJTT two pairs 144 0.57% 1 : 173 94.11%
21 T9 QQTT9 two pairs 144 0.57% 1 : 173 93.53%
22 T8 QQTT8 two pairs 144 0.57% 1 : 173 92.96%
23 T7 QQTT7 two pairs 144 0.57% 1 : 173 92.38%
24 T6 QQTT6 two pairs 144 0.57% 1 : 173 91.81%
25 T5 QQTT5 two pairs 144 0.57% 1 : 173 91.23%
26 T4 QQTT4 two pairs 144 0.57% 1 : 173 90.66%
27 T3 QQTT3 two pairs 144 0.57% 1 : 173 90.08%
28 T2 QQTT2 two pairs 144 0.57% 1 : 173 89.51%
29 99 QQT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 QQT88 two pairs 144 0.57% 1 : 173 88.36%
31 77 QQT77 two pairs 144 0.57% 1 : 173 87.78%
32 66 QQT66 two pairs 144 0.57% 1 : 173 87.21%
33 55 QQT55 two pairs 144 0.57% 1 : 173 86.63%
34 44 QQT44 two pairs 144 0.57% 1 : 173 86.06%
35 33 QQT33 two pairs 144 0.57% 1 : 173 85.48%
36 22 QQT22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQQT one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQQJT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AQQT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AQQT8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AQQT7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQQT6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQQT5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQQT4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQQT3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQQT2 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQQJT one pair 384 1.53% 1 : 64.2 69.00%
48 K9 KQQT9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KQQT8 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KQQT7 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQQT6 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQQT5 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQQT4 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQQT3 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQQT2 one pair 384 1.53% 1 : 64.2 56.73%
56 J9 QQJT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 QQJT8 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 QQJT7 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 QQJT6 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QQJT5 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QQJT4 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QQJT3 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QQJT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 QQT98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 QQT97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 QQT96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 QQT95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 QQT94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 QQT93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 QQT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 QQT87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 QQT86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 QQT85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 QQT84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 QQT83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 QQT82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 QQT76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 QQT75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 QQT74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 QQT73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 QQT72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 QQT65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 QQT64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 QQT63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 QQT62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 QQT54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 QQT53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 QQT52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QQT43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QQT42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QQT32 one pair 384 1.53% 1 : 64.2 1.53%