Let me count the 7-spot ways!

August 20, 2002 2:50 AM
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This week we’ll look at a couple of way tickets constructed out of seven numbers. Note that both of these tickets have the same number of groups, the same number of total ways, and the same number of total spots (seven). They differ only in the manner of grouping, and hence the distribution of ways. The ticket on the left, one of my favorites, has a five way five and a five way two spot. The ticket on the right has a six way five and a six way two spot. These two tickets offer a good example of why it pays to be careful when constructing a way ticket to play. Below are the odds for one of hitting each possible catch:

Note that although the right hand ticket has one more way five and one more way deuce than the ticket on the left, the odds of hitting a solid five or deuce are not that much better. In fact, if you play the five way five for a dollar per way, you would expect to hit a five spot solid on the average of once every 355 games, or after a gross expenditure of $1,775. If you play the six way five for a dollar a game, you will expect a solid five on the average of once every 344 games, or after a total gross expenditure of $2,064. The same comparison holds true of the deuces. You expect to hit a two spot after a gross expenditure of about $20 on the five way two spot, while it will take nearly $24 to do the same on the six way deuce. (When I say gross expenditure, I mean the amount of money played, irrespective of small winners).

Choose your weapons well, Keno Warrior!

That’s it for this week, Good Luck, I’ll see you in line!

2 2 1 1 1  

 3 1 1 1 1

1 way 7, 3 way 6,5 way 5, 7 way 4,  

 1 way 7, 4 way 6,6 way 5, 5 way 4,

7 way 3, 5 way 2,3 way 1  

 5 way 3, 6 way 2,4 way 1

 

7 / 7  

 40979.31  

 40979.31

6 / 7  

 1365.977  

 1365.977

5 / 7  

 115.760  

 115.760

4 / 7  

 19.160  

 19.160

3 / 7  

 5.714  

 5.714

2 / 7  

 3.061  

 3.061

1 / 7  

 3.172  

 3.172

0 / 7  

 8.225  

 8.225

6 / 6  

 2957.27  

 2258.703

5 / 6  

 144.876  

 122.902

4 / 6  

 18.226  

 16.852

3 / 6  

 4.531  

 4.401

2 / 6  

 2.076  

 2.013

1 / 6  

 1.823  

 1.680

0 / 6  

 3.896  

 3.314

5 / 5  

 355.458  

 343.539

4 / 5  

 23.340  

 24.424

3 / 5  

 4.267  

 4.665

2 / 5  

 1.822  

 1.842

1 / 5  

 1.377  

 1.418

0 / 5  

 1.943  

 2.531

4 / 4  

 54.982  

 83.931

3 / 4  

 5.908  

 6.952

2 / 4  

 1.777  

 1.886

1 / 4  

 1.229  

 1.264

0 / 4  

 1.358  

 1.661

3 / 3  

 12.953  

 16.738

2 / 3  

 2.019  

 2.755

1 / 3  

 1.185  

 1.250

0 / 3  

 1.131  

 1.168

2 / 2  

 3.931  

 3.861

1 / 2  

 1.190  

 1.452

0 / 2  

 1.025  

 1.048

1 / 1  

 1.713  

 1.445

0 / 1  

 1.014  

 1.003