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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 84444 four of a kind 4 0.02% 1 : 6260 100.00%
 
2 88 88844 full house 24 0.10% 1 : 1043 99.98%
3 84 88444 full house 24 0.10% 1 : 1043 99.89%
 
4 A4 A8444 three of a kind 64 0.26% 1 : 390 99.79%
5 K4 K8444 three of a kind 64 0.26% 1 : 390 99.54%
6 Q4 Q8444 three of a kind 64 0.26% 1 : 390 99.28%
7 J4 J8444 three of a kind 64 0.26% 1 : 390 99.03%
8 T4 T8444 three of a kind 64 0.26% 1 : 390 98.77%
9 94 98444 three of a kind 64 0.26% 1 : 390 98.51%
10 74 87444 three of a kind 64 0.26% 1 : 390 98.26%
11 64 86444 three of a kind 64 0.26% 1 : 390 98.00%
12 54 85444 three of a kind 64 0.26% 1 : 390 97.75%
13 43 84443 three of a kind 64 0.26% 1 : 390 97.49%
14 42 84442 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AA844 two pairs 144 0.57% 1 : 173 96.98%
16 KK KK844 two pairs 144 0.57% 1 : 173 96.41%
17 QQ QQ844 two pairs 144 0.57% 1 : 173 95.83%
18 JJ JJ844 two pairs 144 0.57% 1 : 173 95.26%
19 TT TT844 two pairs 144 0.57% 1 : 173 94.68%
20 99 99844 two pairs 144 0.57% 1 : 173 94.11%
21 A8 A8844 two pairs 144 0.57% 1 : 173 93.53%
22 K8 K8844 two pairs 144 0.57% 1 : 173 92.96%
23 Q8 Q8844 two pairs 144 0.57% 1 : 173 92.38%
24 J8 J8844 two pairs 144 0.57% 1 : 173 91.81%
25 T8 T8844 two pairs 144 0.57% 1 : 173 91.23%
26 98 98844 two pairs 144 0.57% 1 : 173 90.66%
27 87 88744 two pairs 144 0.57% 1 : 173 90.08%
28 86 88644 two pairs 144 0.57% 1 : 173 89.51%
29 85 88544 two pairs 144 0.57% 1 : 173 88.93%
30 83 88443 two pairs 144 0.57% 1 : 173 88.36%
31 82 88442 two pairs 144 0.57% 1 : 173 87.78%
32 77 87744 two pairs 144 0.57% 1 : 173 87.21%
33 66 86644 two pairs 144 0.57% 1 : 173 86.63%
34 55 85544 two pairs 144 0.57% 1 : 173 86.06%
35 33 84433 two pairs 144 0.57% 1 : 173 85.48%
36 22 84422 two pairs 144 0.57% 1 : 173 84.91%
 
37 AK AK844 one pair 384 1.53% 1 : 64.2 84.33%
38 AQ AQ844 one pair 384 1.53% 1 : 64.2 82.80%
39 AJ AJ844 one pair 384 1.53% 1 : 64.2 81.26%
40 AT AT844 one pair 384 1.53% 1 : 64.2 79.73%
41 A9 A9844 one pair 384 1.53% 1 : 64.2 78.20%
42 A7 A8744 one pair 384 1.53% 1 : 64.2 76.67%
43 A6 A8644 one pair 384 1.53% 1 : 64.2 75.13%
44 A5 A8544 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 A8443 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 A8442 one pair 384 1.53% 1 : 64.2 70.53%
47 KQ KQ844 one pair 384 1.53% 1 : 64.2 69.00%
48 KJ KJ844 one pair 384 1.53% 1 : 64.2 67.47%
49 KT KT844 one pair 384 1.53% 1 : 64.2 65.93%
50 K9 K9844 one pair 384 1.53% 1 : 64.2 64.40%
51 K7 K8744 one pair 384 1.53% 1 : 64.2 62.87%
52 K6 K8644 one pair 384 1.53% 1 : 64.2 61.33%
53 K5 K8544 one pair 384 1.53% 1 : 64.2 59.80%
54 K3 K8443 one pair 384 1.53% 1 : 64.2 58.27%
55 K2 K8442 one pair 384 1.53% 1 : 64.2 56.73%
56 QJ QJ844 one pair 384 1.53% 1 : 64.2 55.20%
57 QT QT844 one pair 384 1.53% 1 : 64.2 53.67%
58 Q9 Q9844 one pair 384 1.53% 1 : 64.2 52.13%
59 Q7 Q8744 one pair 384 1.53% 1 : 64.2 50.60%
60 Q6 Q8644 one pair 384 1.53% 1 : 64.2 49.07%
61 Q5 Q8544 one pair 384 1.53% 1 : 64.2 47.53%
62 Q3 Q8443 one pair 384 1.53% 1 : 64.2 46.00%
63 Q2 Q8442 one pair 384 1.53% 1 : 64.2 44.47%
64 JT JT844 one pair 384 1.53% 1 : 64.2 42.93%
65 J9 J9844 one pair 384 1.53% 1 : 64.2 41.40%
66 J7 J8744 one pair 384 1.53% 1 : 64.2 39.87%
67 J6 J8644 one pair 384 1.53% 1 : 64.2 38.33%
68 J5 J8544 one pair 384 1.53% 1 : 64.2 36.80%
69 J3 J8443 one pair 384 1.53% 1 : 64.2 35.27%
70 J2 J8442 one pair 384 1.53% 1 : 64.2 33.73%
71 T9 T9844 one pair 384 1.53% 1 : 64.2 32.20%
72 T7 T8744 one pair 384 1.53% 1 : 64.2 30.67%
73 T6 T8644 one pair 384 1.53% 1 : 64.2 29.13%
74 T5 T8544 one pair 384 1.53% 1 : 64.2 27.60%
75 T3 T8443 one pair 384 1.53% 1 : 64.2 26.07%
76 T2 T8442 one pair 384 1.53% 1 : 64.2 24.53%
77 97 98744 one pair 384 1.53% 1 : 64.2 23.00%
78 96 98644 one pair 384 1.53% 1 : 64.2 21.47%
79 95 98544 one pair 384 1.53% 1 : 64.2 19.93%
80 93 98443 one pair 384 1.53% 1 : 64.2 18.40%
81 92 98442 one pair 384 1.53% 1 : 64.2 16.87%
82 76 87644 one pair 384 1.53% 1 : 64.2 15.33%
83 75 87544 one pair 384 1.53% 1 : 64.2 13.80%
84 73 87443 one pair 384 1.53% 1 : 64.2 12.27%
85 72 87442 one pair 384 1.53% 1 : 64.2 10.73%
86 65 86544 one pair 384 1.53% 1 : 64.2 9.20%
87 63 86443 one pair 384 1.53% 1 : 64.2 7.67%
88 62 86442 one pair 384 1.53% 1 : 64.2 6.13%
89 53 85443 one pair 384 1.53% 1 : 64.2 4.60%
90 52 85442 one pair 384 1.53% 1 : 64.2 3.07%
91 32 84432 one pair 384 1.53% 1 : 64.2 1.53%