non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 1 4 0.01% 1 : 15515
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 65s 87654 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AK874 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQ874 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJ874 flush 4 0.01% 1 : 15515 99.98%
5 ATs AT874 flush 4 0.01% 1 : 15515 99.97%
6 A9s A9874 flush 4 0.01% 1 : 15515 99.97%
7 A6s A8764 flush 4 0.01% 1 : 15515 99.96%
8 A5s A8754 flush 4 0.01% 1 : 15515 99.95%
9 A3s A8743 flush 4 0.01% 1 : 15515 99.95%
10 A2s A8742 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQ874 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJ874 flush 4 0.01% 1 : 15515 99.93%
13 KTs KT874 flush 4 0.01% 1 : 15515 99.92%
14 K9s K9874 flush 4 0.01% 1 : 15515 99.92%
15 K6s K8764 flush 4 0.01% 1 : 15515 99.91%
16 K5s K8754 flush 4 0.01% 1 : 15515 99.90%
17 K3s K8743 flush 4 0.01% 1 : 15515 99.90%
18 K2s K8742 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJ874 flush 4 0.01% 1 : 15515 99.88%
20 QTs QT874 flush 4 0.01% 1 : 15515 99.88%
21 Q9s Q9874 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q8764 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q8754 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q8743 flush 4 0.01% 1 : 15515 99.85%
25 Q2s Q8742 flush 4 0.01% 1 : 15515 99.85%
26 JTs JT874 flush 4 0.01% 1 : 15515 99.84%
27 J9s J9874 flush 4 0.01% 1 : 15515 99.83%
28 J6s J8764 flush 4 0.01% 1 : 15515 99.83%
29 J5s J8754 flush 4 0.01% 1 : 15515 99.82%
30 J3s J8743 flush 4 0.01% 1 : 15515 99.81%
31 J2s J8742 flush 4 0.01% 1 : 15515 99.81%
32 T9s T9874 flush 4 0.01% 1 : 15515 99.80%
33 T6s T8764 flush 4 0.01% 1 : 15515 99.79%
34 T5s T8754 flush 4 0.01% 1 : 15515 99.79%
35 T3s T8743 flush 4 0.01% 1 : 15515 99.78%
36 T2s T8742 flush 4 0.01% 1 : 15515 99.77%
37 96s 98764 flush 4 0.01% 1 : 15515 99.77%
38 95s 98754 flush 4 0.01% 1 : 15515 99.76%
39 93s 98743 flush 4 0.01% 1 : 15515 99.76%
40 92s 98742 flush 4 0.01% 1 : 15515 99.75%
41 63s 87643 flush 4 0.01% 1 : 15515 99.74%
42 62s 87642 flush 4 0.01% 1 : 15515 99.74%
43 53s 87543 flush 4 0.01% 1 : 15515 99.73%
44 52s 87542 flush 4 0.01% 1 : 15515 99.72%
45 32s 87432 flush 4 0.01% 1 : 15515 99.72%
 
46 65 87654 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 88 88874 three of a kind 64 0.10% 1 : 969 98.07%
48 77 87774 three of a kind 64 0.10% 1 : 969 97.96%
49 44 87444 three of a kind 64 0.10% 1 : 969 97.86%
 
50 87 88774 two pairs 144 0.23% 1 : 430 97.76%
51 84 88744 two pairs 144 0.23% 1 : 430 97.53%
52 74 87744 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AA874 one pair 384 0.62% 1 : 161 97.06%
54 KK KK874 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQ874 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJ874 one pair 384 0.62% 1 : 161 95.20%
57 TT TT874 one pair 384 0.62% 1 : 161 94.59%
58 99 99874 one pair 384 0.62% 1 : 161 93.97%
59 A8 A8874 one pair 384 0.62% 1 : 161 93.35%
60 K8 K8874 one pair 384 0.62% 1 : 161 92.73%
61 Q8 Q8874 one pair 384 0.62% 1 : 161 92.11%
62 J8 J8874 one pair 384 0.62% 1 : 161 91.49%
63 T8 T8874 one pair 384 0.62% 1 : 161 90.87%
64 98 98874 one pair 384 0.62% 1 : 161 90.26%
65 86 88764 one pair 384 0.62% 1 : 161 89.64%
66 85 88754 one pair 384 0.62% 1 : 161 89.02%
67 83 88743 one pair 384 0.62% 1 : 161 88.40%
68 82 88742 one pair 384 0.62% 1 : 161 87.78%
69 A7 A8774 one pair 384 0.62% 1 : 161 87.16%
70 K7 K8774 one pair 384 0.62% 1 : 161 86.54%
71 Q7 Q8774 one pair 384 0.62% 1 : 161 85.92%
72 J7 J8774 one pair 384 0.62% 1 : 161 85.31%
73 T7 T8774 one pair 384 0.62% 1 : 161 84.69%
74 97 98774 one pair 384 0.62% 1 : 161 84.07%
75 76 87764 one pair 384 0.62% 1 : 161 83.45%
76 75 87754 one pair 384 0.62% 1 : 161 82.83%
77 73 87743 one pair 384 0.62% 1 : 161 82.21%
78 72 87742 one pair 384 0.62% 1 : 161 81.59%
79 66 87664 one pair 384 0.62% 1 : 161 80.97%
80 55 87554 one pair 384 0.62% 1 : 161 80.36%
81 A4 A8744 one pair 384 0.62% 1 : 161 79.74%
82 K4 K8744 one pair 384 0.62% 1 : 161 79.12%
83 Q4 Q8744 one pair 384 0.62% 1 : 161 78.50%
84 J4 J8744 one pair 384 0.62% 1 : 161 77.88%
85 T4 T8744 one pair 384 0.62% 1 : 161 77.26%
86 94 98744 one pair 384 0.62% 1 : 161 76.64%
87 64 87644 one pair 384 0.62% 1 : 161 76.02%
88 54 87544 one pair 384 0.62% 1 : 161 75.41%
89 43 87443 one pair 384 0.62% 1 : 161 74.79%
90 42 87442 one pair 384 0.62% 1 : 161 74.17%
91 33 87433 one pair 384 0.62% 1 : 161 73.55%
92 22 87422 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AK874 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQ874 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJ874 high card 1,020 1.64% 1 : 59.8 69.03%
96 AT AT874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A9 A9874 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A8764 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A8754 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A8743 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 A8742 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQ874 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJ874 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KT874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K9 K9874 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K8764 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K8754 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K8743 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 K8742 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJ874 high card 1,020 1.64% 1 : 59.8 44.37%
111 QT QT874 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q9 Q9874 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q8764 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q8754 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q8743 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 Q8742 high card 1,020 1.64% 1 : 59.8 34.51%
117 JT JT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 J9 J9874 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J8764 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J8754 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J8743 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 J8742 high card 1,020 1.64% 1 : 59.8 24.65%
123 T9 T9874 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T8764 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T8754 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T8743 high card 1,020 1.64% 1 : 59.8 18.08%
127 T2 T8742 high card 1,020 1.64% 1 : 59.8 16.43%
128 96 98764 high card 1,020 1.64% 1 : 59.8 14.79%
129 95 98754 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 98743 high card 1,020 1.64% 1 : 59.8 11.50%
131 92 98742 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 87643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 87642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 87543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 87542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 87432 high card 1,020 1.64% 1 : 59.8 1.64%