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 KTTTT four of a kind 4 0.02% 1 : 6260 100.00%
 
2 KK KKKTT full house 24 0.10% 1 : 1043 99.98%
3 KT KKTTT full house 24 0.10% 1 : 1043 99.89%
 
4 AT AKTTT three of a kind 64 0.26% 1 : 390 99.79%
5 QT KQTTT three of a kind 64 0.26% 1 : 390 99.54%
6 JT KJTTT three of a kind 64 0.26% 1 : 390 99.28%
7 T9 KTTT9 three of a kind 64 0.26% 1 : 390 99.03%
8 T8 KTTT8 three of a kind 64 0.26% 1 : 390 98.77%
9 T7 KTTT7 three of a kind 64 0.26% 1 : 390 98.51%
10 T6 KTTT6 three of a kind 64 0.26% 1 : 390 98.26%
11 T5 KTTT5 three of a kind 64 0.26% 1 : 390 98.00%
12 T4 KTTT4 three of a kind 64 0.26% 1 : 390 97.75%
13 T3 KTTT3 three of a kind 64 0.26% 1 : 390 97.49%
14 T2 KTTT2 three of a kind 64 0.26% 1 : 390 97.24%
 
15 AA AAKTT two pairs 144 0.57% 1 : 173 96.98%
16 AK AKKTT two pairs 144 0.57% 1 : 173 96.41%
17 KQ KKQTT two pairs 144 0.57% 1 : 173 95.83%
18 KJ KKJTT two pairs 144 0.57% 1 : 173 95.26%
19 K9 KKTT9 two pairs 144 0.57% 1 : 173 94.68%
20 K8 KKTT8 two pairs 144 0.57% 1 : 173 94.11%
21 K7 KKTT7 two pairs 144 0.57% 1 : 173 93.53%
22 K6 KKTT6 two pairs 144 0.57% 1 : 173 92.96%
23 K5 KKTT5 two pairs 144 0.57% 1 : 173 92.38%
24 K4 KKTT4 two pairs 144 0.57% 1 : 173 91.81%
25 K3 KKTT3 two pairs 144 0.57% 1 : 173 91.23%
26 K2 KKTT2 two pairs 144 0.57% 1 : 173 90.66%
27 QQ KQQTT two pairs 144 0.57% 1 : 173 90.08%
28 JJ KJJTT two pairs 144 0.57% 1 : 173 89.51%
29 99 KTT99 two pairs 144 0.57% 1 : 173 88.93%
30 88 KTT88 two pairs 144 0.57% 1 : 173 88.36%
31 77 KTT77 two pairs 144 0.57% 1 : 173 87.78%
32 66 KTT66 two pairs 144 0.57% 1 : 173 87.21%
33 55 KTT55 two pairs 144 0.57% 1 : 173 86.63%
34 44 KTT44 two pairs 144 0.57% 1 : 173 86.06%
35 33 KTT33 two pairs 144 0.57% 1 : 173 85.48%
36 22 KTT22 two pairs 144 0.57% 1 : 173 84.91%
 
37 AQ AKQTT one pair 384 1.53% 1 : 64.2 84.33%
38 AJ AKJTT one pair 384 1.53% 1 : 64.2 82.80%
39 A9 AKTT9 one pair 384 1.53% 1 : 64.2 81.26%
40 A8 AKTT8 one pair 384 1.53% 1 : 64.2 79.73%
41 A7 AKTT7 one pair 384 1.53% 1 : 64.2 78.20%
42 A6 AKTT6 one pair 384 1.53% 1 : 64.2 76.67%
43 A5 AKTT5 one pair 384 1.53% 1 : 64.2 75.13%
44 A4 AKTT4 one pair 384 1.53% 1 : 64.2 73.60%
45 A3 AKTT3 one pair 384 1.53% 1 : 64.2 72.07%
46 A2 AKTT2 one pair 384 1.53% 1 : 64.2 70.53%
47 QJ KQJTT one pair 384 1.53% 1 : 64.2 69.00%
48 Q9 KQTT9 one pair 384 1.53% 1 : 64.2 67.47%
49 Q8 KQTT8 one pair 384 1.53% 1 : 64.2 65.93%
50 Q7 KQTT7 one pair 384 1.53% 1 : 64.2 64.40%
51 Q6 KQTT6 one pair 384 1.53% 1 : 64.2 62.87%
52 Q5 KQTT5 one pair 384 1.53% 1 : 64.2 61.33%
53 Q4 KQTT4 one pair 384 1.53% 1 : 64.2 59.80%
54 Q3 KQTT3 one pair 384 1.53% 1 : 64.2 58.27%
55 Q2 KQTT2 one pair 384 1.53% 1 : 64.2 56.73%
56 J9 KJTT9 one pair 384 1.53% 1 : 64.2 55.20%
57 J8 KJTT8 one pair 384 1.53% 1 : 64.2 53.67%
58 J7 KJTT7 one pair 384 1.53% 1 : 64.2 52.13%
59 J6 KJTT6 one pair 384 1.53% 1 : 64.2 50.60%
60 J5 KJTT5 one pair 384 1.53% 1 : 64.2 49.07%
61 J4 KJTT4 one pair 384 1.53% 1 : 64.2 47.53%
62 J3 KJTT3 one pair 384 1.53% 1 : 64.2 46.00%
63 J2 KJTT2 one pair 384 1.53% 1 : 64.2 44.47%
64 98 KTT98 one pair 384 1.53% 1 : 64.2 42.93%
65 97 KTT97 one pair 384 1.53% 1 : 64.2 41.40%
66 96 KTT96 one pair 384 1.53% 1 : 64.2 39.87%
67 95 KTT95 one pair 384 1.53% 1 : 64.2 38.33%
68 94 KTT94 one pair 384 1.53% 1 : 64.2 36.80%
69 93 KTT93 one pair 384 1.53% 1 : 64.2 35.27%
70 92 KTT92 one pair 384 1.53% 1 : 64.2 33.73%
71 87 KTT87 one pair 384 1.53% 1 : 64.2 32.20%
72 86 KTT86 one pair 384 1.53% 1 : 64.2 30.67%
73 85 KTT85 one pair 384 1.53% 1 : 64.2 29.13%
74 84 KTT84 one pair 384 1.53% 1 : 64.2 27.60%
75 83 KTT83 one pair 384 1.53% 1 : 64.2 26.07%
76 82 KTT82 one pair 384 1.53% 1 : 64.2 24.53%
77 76 KTT76 one pair 384 1.53% 1 : 64.2 23.00%
78 75 KTT75 one pair 384 1.53% 1 : 64.2 21.47%
79 74 KTT74 one pair 384 1.53% 1 : 64.2 19.93%
80 73 KTT73 one pair 384 1.53% 1 : 64.2 18.40%
81 72 KTT72 one pair 384 1.53% 1 : 64.2 16.87%
82 65 KTT65 one pair 384 1.53% 1 : 64.2 15.33%
83 64 KTT64 one pair 384 1.53% 1 : 64.2 13.80%
84 63 KTT63 one pair 384 1.53% 1 : 64.2 12.27%
85 62 KTT62 one pair 384 1.53% 1 : 64.2 10.73%
86 54 KTT54 one pair 384 1.53% 1 : 64.2 9.20%
87 53 KTT53 one pair 384 1.53% 1 : 64.2 7.67%
88 52 KTT52 one pair 384 1.53% 1 : 64.2 6.13%
89 43 KTT43 one pair 384 1.53% 1 : 64.2 4.60%
90 42 KTT42 one pair 384 1.53% 1 : 64.2 3.07%
91 32 KTT32 one pair 384 1.53% 1 : 64.2 1.53%