Try trolling a 7-way 10-spot

Oct 16, 2006 5:45 AM

Another famous old wayten is the seven-way ten. Although there are several ways to mark the ticket, the traditional (and most mathematically pleasing) way is to mark it with 28 numbers, grouped 7-6-5-4-3-2-1. The seven tens are combined thusly: 7-3, 7-2-1, 6-4, 6-3-1, 5-4-1, 5-3-2, and 4-3-2-1.

Below, you’ll see an illustration of the ticket, and following the traditional conventions of keno, groups of five or more are lined off, while groups of four or less are circled.

 

Here are the odds for one against any winning catch on this ticket:

10/10         1,273,550.33

9/10                 23,431.36

8/10                   1,072.38

7/10                         93.33

6/10                         14.14

5/10                           3.69

 

This is a great ticket, and one that’s fun to play. We’ll hit, on the average, seven numbers per game, though of course this won’t always produce a winning catch. The theoretical minimum odds for one against a solid ten on any seven-way ten ticket are 1,273,101 for one, and this ticket comes very close to the theoretical minimum. There are 28 numbers on the ticket, seven different sized groups, and 38,129 different possible catches.

Consider the 7 way 10 marked with 13 numbers, grouped 3-3-3-1-1-1-1. This ticket also has a seven-way ten on it, but has less than half of the total numbers of the traditional ticket. Here are the odds for one against any possible ten spot catch:

 

10/10         1,435,376.54

9/10                 28,094.29

8/10                   1,391.94

7/10                      134.85

6/10                        22.35

5/10                          5.88

 

You can see the problem, and you can also see why it’s better, in general, to play more numbers rather than less. You’ll hit a five out of ten a couple games more often, a six out of ten almost 8 games sooner, a seven out of ten 40 games sooner, an eight out of ten 320 games sooner, a nine out of ten over 4,000 games sooner, and a solid ten roughly 161,826 games sooner by playing the 28 numbers rather than the 13 numbers. There’s nothing wrong with this 13 spot ticket. It has the same house percentage as the traditional seven way ten above, and over the long run, it will return the same amount of money. The winners are larger, but much less frequent. That’s how the balance is maintained. The point is, since we all have a limited bankroll, the ticket that pays more frequently is the best one for us to play. This will give us more chances to hit the big one!

On a scale of one to five spikes, with five being the highest, the seven way ten (marked 7-6-5-4-3-2-1) rates: 4












Well, that’s it for now. Good luck! I’ll see you in line! email: [email protected]