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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 TT QTTTT four of a kind 4 0.02% 1 : 6260 100.00%
 
2 QQ QQQTT full house 24 0.10% 1 : 1043 99.98%
3 QT QQTTT full house 24 0.10% 1 : 1043 99.89%
 
4 AT AQTTT three of a kind 64 0.26% 1 : 390 99.79%
5 KT KQTTT three of a kind 64 0.26% 1 : 390 99.54%
6 JT QJTTT three of a kind 64 0.26% 1 : 390 99.28%
7 T9 QTTT9 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 QTTT8 three of a kind 64 0.26% 1 : 390 98.77%
9 T7 QTTT7 three of a kind 64 0.26% 1 : 390 98.51%
10 T6 QTTT6 three of a kind 64 0.26% 1 : 390 98.26%
11 T5 QTTT5 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 QTTT4 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 QTTT3 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 QTTT2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAQTT two pairs 144 0.57% 1 : 173 96.98%
16 KK KKQTT two pairs 144 0.57% 1 : 173 96.41%
17 AQ AQQTT two pairs 144 0.57% 1 : 173 95.83%
18 KQ KQQTT two pairs 144 0.57% 1 : 173 95.26%
19 QJ QQJTT two pairs 144 0.57% 1 : 173 94.68%
20 Q9 QQTT9 two pairs 144 0.57% 1 : 173 94.11%
21 Q8 QQTT8 two pairs 144 0.57% 1 : 173 93.53%
22 Q7 QQTT7 two pairs 144 0.57% 1 : 173 92.96%
23 Q6 QQTT6 two pairs 144 0.57% 1 : 173 92.38%
24 Q5 QQTT5 two pairs 144 0.57% 1 : 173 91.81%
25 Q4 QQTT4 two pairs 144 0.57% 1 : 173 91.23%
26 Q3 QQTT3 two pairs 144 0.57% 1 : 173 90.66%
27 Q2 QQTT2 two pairs 144 0.57% 1 : 173 90.08%
28 JJ QJJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 QTT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 QTT88 two pairs 144 0.57% 1 : 173 88.36%
31 77 QTT77 two pairs 144 0.57% 1 : 173 87.78%
32 66 QTT66 two pairs 144 0.57% 1 : 173 87.21%
33 55 QTT55 two pairs 144 0.57% 1 : 173 86.63%
34 44 QTT44 two pairs 144 0.57% 1 : 173 86.06%
35 33 QTT33 two pairs 144 0.57% 1 : 173 85.48%
36 22 QTT22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AKQTT one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AQJTT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AQTT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AQTT8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AQTT7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AQTT6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AQTT5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AQTT4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AQTT3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AQTT2 one pair 384 1.53% 1 : 64.2 70.53%
47 KJ KQJTT one pair 384 1.53% 1 : 64.2 69.00%
48 K9 KQTT9 one pair 384 1.53% 1 : 64.2 67.47%
49 K8 KQTT8 one pair 384 1.53% 1 : 64.2 65.93%
50 K7 KQTT7 one pair 384 1.53% 1 : 64.2 64.40%
51 K6 KQTT6 one pair 384 1.53% 1 : 64.2 62.87%
52 K5 KQTT5 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 KQTT4 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 KQTT3 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 KQTT2 one pair 384 1.53% 1 : 64.2 56.73%
56 J9 QJTT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 QJTT8 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 QJTT7 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 QJTT6 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 QJTT5 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 QJTT4 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 QJTT3 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 QJTT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 QTT98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 QTT97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 QTT96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 QTT95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 QTT94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 QTT93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 QTT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 QTT87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 QTT86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 QTT85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 QTT84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 QTT83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 QTT82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 QTT76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 QTT75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 QTT74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 QTT73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 QTT72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 QTT65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 QTT64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 QTT63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 QTT62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 QTT54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 QTT53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 QTT52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 QTT43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 QTT42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 QTT32 one pair 384 1.53% 1 : 64.2 1.53%