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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 33 73333 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 77 77733 full house 24 0.10% 1 : 1043 99.98%
3 73 77333 full house 24 0.10% 1 : 1043 99.89%
 
4 A3 A7333 three of a kind 64 0.26% 1 : 390 99.79%
5 K3 K7333 three of a kind 64 0.26% 1 : 390 99.54%
6 Q3 Q7333 three of a kind 64 0.26% 1 : 390 99.28%
7 J3 J7333 three of a kind 64 0.26% 1 : 390 99.03%
8 T3 T7333 three of a kind 64 0.26% 1 : 390 98.77%
9 93 97333 three of a kind 64 0.26% 1 : 390 98.51%
10 83 87333 three of a kind 64 0.26% 1 : 390 98.26%
11 63 76333 three of a kind 64 0.26% 1 : 390 98.00%
12 53 75333 three of a kind 64 0.26% 1 : 390 97.75%
13 43 74333 three of a kind 64 0.26% 1 : 390 97.49%
14 32 73332 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA733 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK733 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ733 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ733 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT733 two pairs 144 0.57% 1 : 173 94.68%
20 99 99733 two pairs 144 0.57% 1 : 173 94.11%
21 88 88733 two pairs 144 0.57% 1 : 173 93.53%
22 A7 A7733 two pairs 144 0.57% 1 : 173 92.96%
23 K7 K7733 two pairs 144 0.57% 1 : 173 92.38%
24 Q7 Q7733 two pairs 144 0.57% 1 : 173 91.81%
25 J7 J7733 two pairs 144 0.57% 1 : 173 91.23%
26 T7 T7733 two pairs 144 0.57% 1 : 173 90.66%
27 97 97733 two pairs 144 0.57% 1 : 173 90.08%
28 87 87733 two pairs 144 0.57% 1 : 173 89.51%
29 76 77633 two pairs 144 0.57% 1 : 173 88.93%
30 75 77533 two pairs 144 0.57% 1 : 173 88.36%
31 74 77433 two pairs 144 0.57% 1 : 173 87.78%
32 72 77332 two pairs 144 0.57% 1 : 173 87.21%
33 66 76633 two pairs 144 0.57% 1 : 173 86.63%
34 55 75533 two pairs 144 0.57% 1 : 173 86.06%
35 44 74433 two pairs 144 0.57% 1 : 173 85.48%
36 22 73322 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK733 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ733 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ733 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT733 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9733 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8733 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A7633 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A7533 one pair 384 1.53% 1 : 64.2 73.60%
45 A4 A7433 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A7332 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ733 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ733 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT733 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9733 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8733 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K7633 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K7533 one pair 384 1.53% 1 : 64.2 59.80%
54 K4 K7433 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K7332 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ733 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT733 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9733 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8733 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q7633 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q7533 one pair 384 1.53% 1 : 64.2 47.53%
62 Q4 Q7433 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q7332 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT733 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9733 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8733 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J7633 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J7533 one pair 384 1.53% 1 : 64.2 36.80%
69 J4 J7433 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J7332 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9733 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8733 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T7633 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T7533 one pair 384 1.53% 1 : 64.2 27.60%
75 T4 T7433 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T7332 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98733 one pair 384 1.53% 1 : 64.2 23.00%
78 96 97633 one pair 384 1.53% 1 : 64.2 21.47%
79 95 97533 one pair 384 1.53% 1 : 64.2 19.93%
80 94 97433 one pair 384 1.53% 1 : 64.2 18.40%
81 92 97332 one pair 384 1.53% 1 : 64.2 16.87%
82 86 87633 one pair 384 1.53% 1 : 64.2 15.33%
83 85 87533 one pair 384 1.53% 1 : 64.2 13.80%
84 84 87433 one pair 384 1.53% 1 : 64.2 12.27%
85 82 87332 one pair 384 1.53% 1 : 64.2 10.73%
86 65 76533 one pair 384 1.53% 1 : 64.2 9.20%
87 64 76433 one pair 384 1.53% 1 : 64.2 7.67%
88 62 76332 one pair 384 1.53% 1 : 64.2 6.13%
89 54 75433 one pair 384 1.53% 1 : 64.2 4.60%
90 52 75332 one pair 384 1.53% 1 : 64.2 3.07%
91 42 74332 one pair 384 1.53% 1 : 64.2 1.53%