Keno Odds

The reverse side of the Keno card will often show the potential payout and odds for matching, or in Keno terms, catching, one or more of the twenty numbers, which are called during a Keno game. Typical examples of tables of online and live casino payouts and odds follow. First is an example of an online version.

Information: This tool was created to help Keno lovers to play the game more strategically. Use this tool to determine the payout of the game at each casino, and to choose the best one. This calculator helps you determine the best strategy to use when playing keno.

Generally, this strategy is very simple. The best thing to do is to play ALWAYS with the number of spots that maximize your payout. Please not that using this optimal strategy ONLY means that you can improve your chances, but REMEMBER that the house STILL has an advantage over you.

Instructions: Change the cells in light blue to fit your data. That’s It.



Payout Schedule
    SPOTS
    1 2 3 4 5 6 7 8 9            
HITS 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2
1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2   14 2 1 0 0 0 0 0 0 0 0 0 0 0
3     40 4 2 1 0 0 0 0 0 0 0 0 0
4       150 13 5 3 0 0 0 0 0 0 0 0
5         800 100 30 10 5 2 0 0 0 0 0
6           1800 400 120 60 25 10 5 2 2 0
7             8000 1600 300 150 100 40 22 10 12
8               30000 4000 1200 500 250 85 45 30
9                 50000 10000 2500 1200 600 350 120
10                   100000 25000 5000 3700 1100 300
11                     100000 25000 12000 8000 2800
12                       100000 50000 25000 25000
13                         100000 50000 50000
14                           100000 100000
15                             100000
Probability Distribution
    SPOTS
    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
HITS 0 0.75 0.56 0.417 0.308 0.227 0.167 0.122 0.088 0.064 0.046 0.033 0.023 0.016 0.012 0.008
1 0.25 0.38 0.431 0.433 0.406 0.363 0.315 0.266 0.221 0.18 0.144 0.114 0.089 0.069 0.052
2   0.06 0.139 0.213 0.27 0.308 0.327 0.328 0.316 0.295 0.268 0.238 0.207 0.176 0.148
3     0.014 0.043 0.084 0.13 0.175 0.215 0.246 0.267 0.278 0.28 0.273 0.259 0.24
4       0.003 0.012 0.029 0.052 0.082 0.114 0.147 0.179 0.206 0.227 0.242 0.25
5         0.001 0.003 0.009 0.018 0.033 0.051 0.074 0.099 0.126 0.152 0.176
6           0 0.001 0.002 0.006 0.011 0.02 0.032 0.048 0.066 0.086
7             0 0 0.001 0.002 0.004 0.007 0.012 0.02 0.03
8               0 0 0 0 0.001 0.002 0.004 0.007
9                 0 0 0 0 0 0.001 0.001
10                   0 0 0 0 0 0
11                     0 0 0 0 0
12                       0 0 0 0
13                         0 0 0
14                           0 0
15                             0
                                 
Expected Payout
SPOTS
    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
HITS 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033 0.023 0.016
1 0.75 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2   0.842 0.278 0.213 0 0 0 0 0 0 0 0 0 0 0
3     0.555 0.173 0.168 0.13 0 0 0 0 0 0 0 0 0
4       0.46 0.157 0.143 0.157 0 0 0 0 0 0 0 0
5         0.516 0.31 0.259 0.183 0.163 0.103 0 0 0 0 0
6           0.232 0.293 0.284 0.343 0.287 0.202 0.161 0.095 0.132 0
7             0.195 0.257 0.178 0.242 0.361 0.281 0.271 0.199 0.359
8               0.13 0.13 0.163 0.206 0.255 0.186 0.188 0.22
9                 0.036 0.061 0.071 0.114 0.156 0.213 0.152
10                   0.011 0.026 0.027 0.074 0.066 0.046
11                     0.002 0.004 0.011 0.03 0.035
12                       0 0.001 0.004 0.016
13                         0 0 0.001
14                           0 0
15                             0
                                 
#
Spots:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Exp.
Payout:
0.75 0.842 0.833 0.845 0.841 0.814 0.904 0.854 0.85 0.866 0.868 0.843 0.827 0.854 0.844
House Edge: 0.25 0.158 0.167 0.155 0.159 0.186 0.096 0.146 0.15 0.134 0.132 0.157 0.173 0.146 0.156

Naive Strategy:

Number of Spots – Random
Expected Payout – 84.23%
House Edge – 15.77%

Optimal Strategy:

Number of Spots – 7
Expected Payout – 90.38%
House Edge – 9.62%

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