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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 44 74444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 77 77744 full house 24 0.10% 1 : 1043 99.98%
3 74 77444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 A7444 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 K7444 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 Q7444 three of a kind 64 0.26% 1 : 390 99.28%
7 J4 J7444 three of a kind 64 0.26% 1 : 390 99.03%
8 T4 T7444 three of a kind 64 0.26% 1 : 390 98.77%
9 94 97444 three of a kind 64 0.26% 1 : 390 98.51%
10 84 87444 three of a kind 64 0.26% 1 : 390 98.26%
11 64 76444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 75444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 74443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 74442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA744 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK744 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ744 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ744 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT744 two pairs 144 0.57% 1 : 173 94.68%
20 99 99744 two pairs 144 0.57% 1 : 173 94.11%
21 88 88744 two pairs 144 0.57% 1 : 173 93.53%
22 A7 A7744 two pairs 144 0.57% 1 : 173 92.96%
23 K7 K7744 two pairs 144 0.57% 1 : 173 92.38%
24 Q7 Q7744 two pairs 144 0.57% 1 : 173 91.81%
25 J7 J7744 two pairs 144 0.57% 1 : 173 91.23%
26 T7 T7744 two pairs 144 0.57% 1 : 173 90.66%
27 97 97744 two pairs 144 0.57% 1 : 173 90.08%
28 87 87744 two pairs 144 0.57% 1 : 173 89.51%
29 76 77644 two pairs 144 0.57% 1 : 173 88.93%
30 75 77544 two pairs 144 0.57% 1 : 173 88.36%
31 73 77443 two pairs 144 0.57% 1 : 173 87.78%
32 72 77442 two pairs 144 0.57% 1 : 173 87.21%
33 66 76644 two pairs 144 0.57% 1 : 173 86.63%
34 55 75544 two pairs 144 0.57% 1 : 173 86.06%
35 33 74433 two pairs 144 0.57% 1 : 173 85.48%
36 22 74422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK744 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ744 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ744 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT744 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9744 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8744 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A7644 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A7544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A7443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A7442 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ744 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ744 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT744 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9744 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8744 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K7644 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K7544 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K7443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K7442 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ744 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT744 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9744 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8744 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q7644 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q7544 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q7443 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q7442 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT744 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9744 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8744 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J7644 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J7544 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J7443 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J7442 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9744 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8744 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T7644 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T7544 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T7443 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T7442 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98744 one pair 384 1.53% 1 : 64.2 23.00%
78 96 97644 one pair 384 1.53% 1 : 64.2 21.47%
79 95 97544 one pair 384 1.53% 1 : 64.2 19.93%
80 93 97443 one pair 384 1.53% 1 : 64.2 18.40%
81 92 97442 one pair 384 1.53% 1 : 64.2 16.87%
82 86 87644 one pair 384 1.53% 1 : 64.2 15.33%
83 85 87544 one pair 384 1.53% 1 : 64.2 13.80%
84 83 87443 one pair 384 1.53% 1 : 64.2 12.27%
85 82 87442 one pair 384 1.53% 1 : 64.2 10.73%
86 65 76544 one pair 384 1.53% 1 : 64.2 9.20%
87 63 76443 one pair 384 1.53% 1 : 64.2 7.67%
88 62 76442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 75443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 75442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 74432 one pair 384 1.53% 1 : 64.2 1.53%