Minimize overlap when covering the board

December 18, 2001 2:23 AM
by

share

If you remember some past columns, we discovered that the best way to maximize our chances of getting a solid hit is to avoid “overlap,” that is to avoid putting the same numbers on two or more ways. The only way to minimize overlap is by playing multiple straight tickets without duplicating any numbers.

Suppose that we want to play six spots. Simple arithmetic tells us that the most tickets that we can play is 13 without overlapping any numbers, since there are only 80 numbers to play, and 13 x 6 = 78. So if we play 13 sixes without duplicating numbers we will cover 78 of the 80 numbers, leaving only two unplayed. There are several simple ways of doing this. We can simply line off our ticket into groups of six in any fashion, giving us 13 connected six spots. Or we can utilize the “Quik Pik” option and tell the Keno writer that we want to play 13 random straight six spots on one ticket!

Naturally, if we Quik Pik 78 numbers, the ticket produced will be a nightmare to look at, with the groups all mixed together willy-nilly, but the computerized Keno system doesn’t care. This is one ticket that would have been impossible to play before computerization! If you want to check the ticket yourself after every game, here is the trick:

After you get your computer generated ticket back, grab 13 blanks and take a few minutes to copy each six spot onto its own separate blank. You will then have 13 straight six spots to compare with the draw of each game, and you can do this easily by sight after each game.

Naturally, if you want to play 13 spots, you will be able to maximize your coverage of the board with 6 tickets, because again, 6 x 13 = 78. Likewise, you can maximize 7 spots by playing 11 tickets (7 x 11 = 77) or maximize 11 spot coverage by playing 7 tickets. Eight straight 10s or 10 straight eights also maximizes coverage, while 8 nine spots will have to suffice (leaving 8 spots unplayed.) Similarly, 16 five spots or 5 sixteen spots will cover the board perfectly.

Many games will allow you these days to play such tickets as low as a dime per way, especially if you want to play a 5 or more game multirace. I have had considerable luck playing 16 fives at a dime per way special rate (a five spot solid pays $100) at a ticket price of only $1.60 per game, or $8 for five games. In five games you’ll have about one chance in 12 of hitting a solid five!

If you have a Keno question that you would like answered, please write to me care of this paper, or contact me on the web via email at kenolil@math.net. Well, that’s it for now. Good luck! I’ll see you in line!