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 AKs AKQ74 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ74 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT74 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ974 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ874 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ764 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ754 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ743 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ742 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ74 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT74 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ974 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ874 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ764 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ754 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ743 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ742 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT74 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ974 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ874 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ764 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ754 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ743 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ742 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT974 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT874 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT764 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT754 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT743 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT742 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9874 flush 4 0.01% 1 : 15515 99.81%
32 96s Q9764 flush 4 0.01% 1 : 15515 99.80%
33 95s Q9754 flush 4 0.01% 1 : 15515 99.79%
34 93s Q9743 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9742 flush 4 0.01% 1 : 15515 99.78%
36 86s Q8764 flush 4 0.01% 1 : 15515 99.77%
37 85s Q8754 flush 4 0.01% 1 : 15515 99.77%
38 83s Q8743 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8742 flush 4 0.01% 1 : 15515 99.76%
40 65s Q7654 flush 4 0.01% 1 : 15515 99.75%
41 63s Q7643 flush 4 0.01% 1 : 15515 99.74%
42 62s Q7642 flush 4 0.01% 1 : 15515 99.74%
43 53s Q7543 flush 4 0.01% 1 : 15515 99.73%
44 52s Q7542 flush 4 0.01% 1 : 15515 99.72%
45 32s Q7432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ74 three of a kind 64 0.10% 1 : 969 99.71%
47 77 Q7774 three of a kind 64 0.10% 1 : 969 99.61%
48 44 Q7444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q7 QQ774 two pairs 144 0.23% 1 : 430 99.40%
50 Q4 QQ744 two pairs 144 0.23% 1 : 430 99.17%
51 74 Q7744 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ74 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ74 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ74 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ74 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ74 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT74 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ974 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ874 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ764 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ754 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ743 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ742 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ74 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT74 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9974 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8874 one pair 384 0.62% 1 : 161 89.42%
68 A7 AQ774 one pair 384 0.62% 1 : 161 88.81%
69 K7 KQ774 one pair 384 0.62% 1 : 161 88.19%
70 J7 QJ774 one pair 384 0.62% 1 : 161 87.57%
71 T7 QT774 one pair 384 0.62% 1 : 161 86.95%
72 97 Q9774 one pair 384 0.62% 1 : 161 86.33%
73 87 Q8774 one pair 384 0.62% 1 : 161 85.71%
74 76 Q7764 one pair 384 0.62% 1 : 161 85.09%
75 75 Q7754 one pair 384 0.62% 1 : 161 84.47%
76 73 Q7743 one pair 384 0.62% 1 : 161 83.86%
77 72 Q7742 one pair 384 0.62% 1 : 161 83.24%
78 66 Q7664 one pair 384 0.62% 1 : 161 82.62%
79 55 Q7554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AQ744 one pair 384 0.62% 1 : 161 81.38%
81 K4 KQ744 one pair 384 0.62% 1 : 161 80.76%
82 J4 QJ744 one pair 384 0.62% 1 : 161 80.14%
83 T4 QT744 one pair 384 0.62% 1 : 161 79.52%
84 94 Q9744 one pair 384 0.62% 1 : 161 78.91%
85 84 Q8744 one pair 384 0.62% 1 : 161 78.29%
86 64 Q7644 one pair 384 0.62% 1 : 161 77.67%
87 54 Q7544 one pair 384 0.62% 1 : 161 77.05%
88 43 Q7443 one pair 384 0.62% 1 : 161 76.43%
89 42 Q7442 one pair 384 0.62% 1 : 161 75.81%
90 33 Q7433 one pair 384 0.62% 1 : 161 75.19%
91 22 Q7422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ74 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ74 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT74 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ974 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ764 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ742 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ74 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT74 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ974 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ764 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ742 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT74 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ974 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ874 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ764 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ743 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ742 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT974 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT764 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT742 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 Q9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 Q9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 Q9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9742 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 Q8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 Q8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 Q8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 Q7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 Q7642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 Q7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 Q7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q7432 high card 1,020 1.64% 1 : 59.8 1.64%