non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 1 4 0.01% 1 : 15515
straight flush 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
three of a kind 3 192 0.31% 1 : 322
two pairs 3 432 0.70% 1 : 143
one pair 40 15,360 24.75% 1 : 3.04
high card 44 44,880 72.31% 2.61 : 1
total 136 62,064 100 %



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 136 distinct hole cards
hole cards hand category combinations probability odds equity
nuts QJs AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 Q9s AKQT9 flush 4 0.01% 1 : 15515 99.99%
3 Q8s AKQT8 flush 4 0.01% 1 : 15515 99.99%
4 Q7s AKQT7 flush 4 0.01% 1 : 15515 99.98%
5 Q6s AKQT6 flush 4 0.01% 1 : 15515 99.97%
6 Q5s AKQT5 flush 4 0.01% 1 : 15515 99.97%
7 Q4s AKQT4 flush 4 0.01% 1 : 15515 99.96%
8 Q3s AKQT3 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQT2 flush 4 0.01% 1 : 15515 99.95%
10 J9s AKJT9 flush 4 0.01% 1 : 15515 99.94%
11 J8s AKJT8 flush 4 0.01% 1 : 15515 99.94%
12 J7s AKJT7 flush 4 0.01% 1 : 15515 99.93%
13 J6s AKJT6 flush 4 0.01% 1 : 15515 99.92%
14 J5s AKJT5 flush 4 0.01% 1 : 15515 99.92%
15 J4s AKJT4 flush 4 0.01% 1 : 15515 99.91%
16 J3s AKJT3 flush 4 0.01% 1 : 15515 99.90%
17 J2s AKJT2 flush 4 0.01% 1 : 15515 99.90%
18 98s AKT98 flush 4 0.01% 1 : 15515 99.89%
19 97s AKT97 flush 4 0.01% 1 : 15515 99.88%
20 96s AKT96 flush 4 0.01% 1 : 15515 99.88%
21 95s AKT95 flush 4 0.01% 1 : 15515 99.87%
22 94s AKT94 flush 4 0.01% 1 : 15515 99.86%
23 93s AKT93 flush 4 0.01% 1 : 15515 99.86%
24 92s AKT92 flush 4 0.01% 1 : 15515 99.85%
25 87s AKT87 flush 4 0.01% 1 : 15515 99.85%
26 86s AKT86 flush 4 0.01% 1 : 15515 99.84%
27 85s AKT85 flush 4 0.01% 1 : 15515 99.83%
28 84s AKT84 flush 4 0.01% 1 : 15515 99.83%
29 83s AKT83 flush 4 0.01% 1 : 15515 99.82%
30 82s AKT82 flush 4 0.01% 1 : 15515 99.81%
31 76s AKT76 flush 4 0.01% 1 : 15515 99.81%
32 75s AKT75 flush 4 0.01% 1 : 15515 99.80%
33 74s AKT74 flush 4 0.01% 1 : 15515 99.79%
34 73s AKT73 flush 4 0.01% 1 : 15515 99.79%
35 72s AKT72 flush 4 0.01% 1 : 15515 99.78%
36 65s AKT65 flush 4 0.01% 1 : 15515 99.77%
37 64s AKT64 flush 4 0.01% 1 : 15515 99.77%
38 63s AKT63 flush 4 0.01% 1 : 15515 99.76%
39 62s AKT62 flush 4 0.01% 1 : 15515 99.76%
40 54s AKT54 flush 4 0.01% 1 : 15515 99.75%
41 53s AKT53 flush 4 0.01% 1 : 15515 99.74%
42 52s AKT52 flush 4 0.01% 1 : 15515 99.74%
43 43s AKT43 flush 4 0.01% 1 : 15515 99.73%
44 42s AKT42 flush 4 0.01% 1 : 15515 99.72%
45 32s AKT32 flush 4 0.01% 1 : 15515 99.72%
 
46 QJ AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAAKT three of a kind 64 0.10% 1 : 969 98.07%
48 KK AKKKT three of a kind 64 0.10% 1 : 969 97.96%
49 TT AKTTT three of a kind 64 0.10% 1 : 969 97.86%
 
50 AK AAKKT two pairs 144 0.23% 1 : 430 97.76%
51 AT AAKTT two pairs 144 0.23% 1 : 430 97.53%
52 KT AKKTT two pairs 144 0.23% 1 : 430 97.29%
 
53 AQ AAKQT one pair 384 0.62% 1 : 161 97.06%
54 AJ AAKJT one pair 384 0.62% 1 : 161 96.44%
55 A9 AAKT9 one pair 384 0.62% 1 : 161 95.82%
56 A8 AAKT8 one pair 384 0.62% 1 : 161 95.20%
57 A7 AAKT7 one pair 384 0.62% 1 : 161 94.59%
58 A6 AAKT6 one pair 384 0.62% 1 : 161 93.97%
59 A5 AAKT5 one pair 384 0.62% 1 : 161 93.35%
60 A4 AAKT4 one pair 384 0.62% 1 : 161 92.73%
61 A3 AAKT3 one pair 384 0.62% 1 : 161 92.11%
62 A2 AAKT2 one pair 384 0.62% 1 : 161 91.49%
63 KQ AKKQT one pair 384 0.62% 1 : 161 90.87%
64 KJ AKKJT one pair 384 0.62% 1 : 161 90.26%
65 K9 AKKT9 one pair 384 0.62% 1 : 161 89.64%
66 K8 AKKT8 one pair 384 0.62% 1 : 161 89.02%
67 K7 AKKT7 one pair 384 0.62% 1 : 161 88.40%
68 K6 AKKT6 one pair 384 0.62% 1 : 161 87.78%
69 K5 AKKT5 one pair 384 0.62% 1 : 161 87.16%
70 K4 AKKT4 one pair 384 0.62% 1 : 161 86.54%
71 K3 AKKT3 one pair 384 0.62% 1 : 161 85.92%
72 K2 AKKT2 one pair 384 0.62% 1 : 161 85.31%
73 QQ AKQQT one pair 384 0.62% 1 : 161 84.69%
74 JJ AKJJT one pair 384 0.62% 1 : 161 84.07%
75 QT AKQTT one pair 384 0.62% 1 : 161 83.45%
76 JT AKJTT one pair 384 0.62% 1 : 161 82.83%
77 T9 AKTT9 one pair 384 0.62% 1 : 161 82.21%
78 T8 AKTT8 one pair 384 0.62% 1 : 161 81.59%
79 T7 AKTT7 one pair 384 0.62% 1 : 161 80.97%
80 T6 AKTT6 one pair 384 0.62% 1 : 161 80.36%
81 T5 AKTT5 one pair 384 0.62% 1 : 161 79.74%
82 T4 AKTT4 one pair 384 0.62% 1 : 161 79.12%
83 T3 AKTT3 one pair 384 0.62% 1 : 161 78.50%
84 T2 AKTT2 one pair 384 0.62% 1 : 161 77.88%
85 99 AKT99 one pair 384 0.62% 1 : 161 77.26%
86 88 AKT88 one pair 384 0.62% 1 : 161 76.64%
87 77 AKT77 one pair 384 0.62% 1 : 161 76.02%
88 66 AKT66 one pair 384 0.62% 1 : 161 75.41%
89 55 AKT55 one pair 384 0.62% 1 : 161 74.79%
90 44 AKT44 one pair 384 0.62% 1 : 161 74.17%
91 33 AKT33 one pair 384 0.62% 1 : 161 73.55%
92 22 AKT22 one pair 384 0.62% 1 : 161 72.93%
 
93 Q9 AKQT9 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q8 AKQT8 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q7 AKQT7 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q6 AKQT6 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q5 AKQT5 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q4 AKQT4 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q3 AKQT3 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQT2 high card 1,020 1.64% 1 : 59.8 60.81%
101 J9 AKJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 J8 AKJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 J7 AKJT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 AKJT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AKJT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AKJT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AKJT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AKJT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 AKT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 AKT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 AKT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 AKT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 AKT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 AKT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 AKT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AKT87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AKT86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AKT85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AKT84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AKT83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AKT82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AKT76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AKT75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AKT74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AKT73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AKT72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AKT65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AKT64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AKT63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AKT62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AKT54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AKT53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AKT52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AKT43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AKT42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AKT32 high card 1,020 1.64% 1 : 59.8 1.64%