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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 55 65555 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 66 66655 full house 24 0.10% 1 : 1043 99.98%
3 65 66555 full house 24 0.10% 1 : 1043 99.89%
 
4 A5 A6555 three of a kind 64 0.26% 1 : 390 99.79%
5 K5 K6555 three of a kind 64 0.26% 1 : 390 99.54%
6 Q5 Q6555 three of a kind 64 0.26% 1 : 390 99.28%
7 J5 J6555 three of a kind 64 0.26% 1 : 390 99.03%
8 T5 T6555 three of a kind 64 0.26% 1 : 390 98.77%
9 95 96555 three of a kind 64 0.26% 1 : 390 98.51%
10 85 86555 three of a kind 64 0.26% 1 : 390 98.26%
11 75 76555 three of a kind 64 0.26% 1 : 390 98.00%
12 54 65554 three of a kind 64 0.26% 1 : 390 97.75%
13 53 65553 three of a kind 64 0.26% 1 : 390 97.49%
14 52 65552 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA655 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK655 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ655 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ655 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT655 two pairs 144 0.57% 1 : 173 94.68%
20 99 99655 two pairs 144 0.57% 1 : 173 94.11%
21 88 88655 two pairs 144 0.57% 1 : 173 93.53%
22 77 77655 two pairs 144 0.57% 1 : 173 92.96%
23 A6 A6655 two pairs 144 0.57% 1 : 173 92.38%
24 K6 K6655 two pairs 144 0.57% 1 : 173 91.81%
25 Q6 Q6655 two pairs 144 0.57% 1 : 173 91.23%
26 J6 J6655 two pairs 144 0.57% 1 : 173 90.66%
27 T6 T6655 two pairs 144 0.57% 1 : 173 90.08%
28 96 96655 two pairs 144 0.57% 1 : 173 89.51%
29 86 86655 two pairs 144 0.57% 1 : 173 88.93%
30 76 76655 two pairs 144 0.57% 1 : 173 88.36%
31 64 66554 two pairs 144 0.57% 1 : 173 87.78%
32 63 66553 two pairs 144 0.57% 1 : 173 87.21%
33 62 66552 two pairs 144 0.57% 1 : 173 86.63%
34 44 65544 two pairs 144 0.57% 1 : 173 86.06%
35 33 65533 two pairs 144 0.57% 1 : 173 85.48%
36 22 65522 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK655 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ655 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ655 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT655 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9655 one pair 384 1.53% 1 : 64.2 78.20%
42 A8 A8655 one pair 384 1.53% 1 : 64.2 76.67%
43 A7 A7655 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 A6554 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A6553 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A6552 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ655 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ655 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT655 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9655 one pair 384 1.53% 1 : 64.2 64.40%
51 K8 K8655 one pair 384 1.53% 1 : 64.2 62.87%
52 K7 K7655 one pair 384 1.53% 1 : 64.2 61.33%
53 K4 K6554 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K6553 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K6552 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ655 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT655 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9655 one pair 384 1.53% 1 : 64.2 52.13%
59 Q8 Q8655 one pair 384 1.53% 1 : 64.2 50.60%
60 Q7 Q7655 one pair 384 1.53% 1 : 64.2 49.07%
61 Q4 Q6554 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q6553 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q6552 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT655 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9655 one pair 384 1.53% 1 : 64.2 41.40%
66 J8 J8655 one pair 384 1.53% 1 : 64.2 39.87%
67 J7 J7655 one pair 384 1.53% 1 : 64.2 38.33%
68 J4 J6554 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J6553 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J6552 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9655 one pair 384 1.53% 1 : 64.2 32.20%
72 T8 T8655 one pair 384 1.53% 1 : 64.2 30.67%
73 T7 T7655 one pair 384 1.53% 1 : 64.2 29.13%
74 T4 T6554 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T6553 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T6552 one pair 384 1.53% 1 : 64.2 24.53%
77 98 98655 one pair 384 1.53% 1 : 64.2 23.00%
78 97 97655 one pair 384 1.53% 1 : 64.2 21.47%
79 94 96554 one pair 384 1.53% 1 : 64.2 19.93%
80 93 96553 one pair 384 1.53% 1 : 64.2 18.40%
81 92 96552 one pair 384 1.53% 1 : 64.2 16.87%
82 87 87655 one pair 384 1.53% 1 : 64.2 15.33%
83 84 86554 one pair 384 1.53% 1 : 64.2 13.80%
84 83 86553 one pair 384 1.53% 1 : 64.2 12.27%
85 82 86552 one pair 384 1.53% 1 : 64.2 10.73%
86 74 76554 one pair 384 1.53% 1 : 64.2 9.20%
87 73 76553 one pair 384 1.53% 1 : 64.2 7.67%
88 72 76552 one pair 384 1.53% 1 : 64.2 6.13%
89 43 65543 one pair 384 1.53% 1 : 64.2 4.60%
90 42 65542 one pair 384 1.53% 1 : 64.2 3.07%
91 32 65532 one pair 384 1.53% 1 : 64.2 1.53%