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 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
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 45 45,900 73.96% 2.84 : 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 KQs AKQJ4 flush 4 0.01% 1 : 15515 100.00%
2 KTs AKJT4 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKJ94 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKJ84 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKJ74 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKJ64 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKJ54 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKJ43 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKJ42 flush 4 0.01% 1 : 15515 99.95%
10 QTs AQJT4 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQJ94 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQJ84 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQJ74 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQJ64 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQJ54 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQJ43 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQJ42 flush 4 0.01% 1 : 15515 99.90%
18 T9s AJT94 flush 4 0.01% 1 : 15515 99.89%
19 T8s AJT84 flush 4 0.01% 1 : 15515 99.88%
20 T7s AJT74 flush 4 0.01% 1 : 15515 99.88%
21 T6s AJT64 flush 4 0.01% 1 : 15515 99.87%
22 T5s AJT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s AJT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s AJT42 flush 4 0.01% 1 : 15515 99.85%
25 98s AJ984 flush 4 0.01% 1 : 15515 99.85%
26 97s AJ974 flush 4 0.01% 1 : 15515 99.84%
27 96s AJ964 flush 4 0.01% 1 : 15515 99.83%
28 95s AJ954 flush 4 0.01% 1 : 15515 99.83%
29 93s AJ943 flush 4 0.01% 1 : 15515 99.82%
30 92s AJ942 flush 4 0.01% 1 : 15515 99.81%
31 87s AJ874 flush 4 0.01% 1 : 15515 99.81%
32 86s AJ864 flush 4 0.01% 1 : 15515 99.80%
33 85s AJ854 flush 4 0.01% 1 : 15515 99.79%
34 83s AJ843 flush 4 0.01% 1 : 15515 99.79%
35 82s AJ842 flush 4 0.01% 1 : 15515 99.78%
36 76s AJ764 flush 4 0.01% 1 : 15515 99.77%
37 75s AJ754 flush 4 0.01% 1 : 15515 99.77%
38 73s AJ743 flush 4 0.01% 1 : 15515 99.76%
39 72s AJ742 flush 4 0.01% 1 : 15515 99.76%
40 65s AJ654 flush 4 0.01% 1 : 15515 99.75%
41 63s AJ643 flush 4 0.01% 1 : 15515 99.74%
42 62s AJ642 flush 4 0.01% 1 : 15515 99.74%
43 53s AJ543 flush 4 0.01% 1 : 15515 99.73%
44 52s AJ542 flush 4 0.01% 1 : 15515 99.72%
45 32s AJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAJ4 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ AJJJ4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 AJ444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AJ AAJJ4 two pairs 144 0.23% 1 : 430 99.40%
50 A4 AAJ44 two pairs 144 0.23% 1 : 430 99.17%
51 J4 AJJ44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKJ4 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQJ4 one pair 384 0.62% 1 : 161 98.09%
54 AT AAJT4 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAJ94 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAJ84 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAJ74 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAJ64 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAJ54 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAJ43 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAJ42 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKJ4 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQJ4 one pair 384 0.62% 1 : 161 91.90%
64 KJ AKJJ4 one pair 384 0.62% 1 : 161 91.28%
65 QJ AQJJ4 one pair 384 0.62% 1 : 161 90.66%
66 JT AJJT4 one pair 384 0.62% 1 : 161 90.04%
67 J9 AJJ94 one pair 384 0.62% 1 : 161 89.42%
68 J8 AJJ84 one pair 384 0.62% 1 : 161 88.81%
69 J7 AJJ74 one pair 384 0.62% 1 : 161 88.19%
70 J6 AJJ64 one pair 384 0.62% 1 : 161 87.57%
71 J5 AJJ54 one pair 384 0.62% 1 : 161 86.95%
72 J3 AJJ43 one pair 384 0.62% 1 : 161 86.33%
73 J2 AJJ42 one pair 384 0.62% 1 : 161 85.71%
74 TT AJTT4 one pair 384 0.62% 1 : 161 85.09%
75 99 AJ994 one pair 384 0.62% 1 : 161 84.47%
76 88 AJ884 one pair 384 0.62% 1 : 161 83.86%
77 77 AJ774 one pair 384 0.62% 1 : 161 83.24%
78 66 AJ664 one pair 384 0.62% 1 : 161 82.62%
79 55 AJ554 one pair 384 0.62% 1 : 161 82.00%
80 K4 AKJ44 one pair 384 0.62% 1 : 161 81.38%
81 Q4 AQJ44 one pair 384 0.62% 1 : 161 80.76%
82 T4 AJT44 one pair 384 0.62% 1 : 161 80.14%
83 94 AJ944 one pair 384 0.62% 1 : 161 79.52%
84 84 AJ844 one pair 384 0.62% 1 : 161 78.91%
85 74 AJ744 one pair 384 0.62% 1 : 161 78.29%
86 64 AJ644 one pair 384 0.62% 1 : 161 77.67%
87 54 AJ544 one pair 384 0.62% 1 : 161 77.05%
88 43 AJ443 one pair 384 0.62% 1 : 161 76.43%
89 42 AJ442 one pair 384 0.62% 1 : 161 75.81%
90 33 AJ433 one pair 384 0.62% 1 : 161 75.19%
91 22 AJ422 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQJ4 high card 1,020 1.64% 1 : 59.8 73.96%
93 KT AKJT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKJ94 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKJ84 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKJ74 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKJ64 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKJ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKJ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKJ42 high card 1,020 1.64% 1 : 59.8 60.81%
101 QT AQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQJ94 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQJ84 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQJ74 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQJ64 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQJ42 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AJT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 AJT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 AJT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 AJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AJT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AJ984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AJ974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AJ964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AJ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AJ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AJ942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AJ874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AJ864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AJ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AJ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AJ842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AJ764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AJ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AJ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AJ742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 AJ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AJ642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 AJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 AJ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AJ432 high card 1,020 1.64% 1 : 59.8 1.64%