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Fifteen ways to group your 6’s!

Sep 23, 2003 4:02 AM

A good keno friend of mine asked me the other day about 15 way sixes, so I found a few of them to investigate. Here are three interesting ones, all "sisters" so to speak.

 

Ticket A:

Thirteen spots, grouped 3 3 3 1 1 1 1

1 Way 13 4 Way 12 6 Way 11 7 Way 10

13 Way 9 18 Way 8 15 Way 7 15 Way 6

18 Way 5 13 Way 4 7 Way 3 6 Way 2

4 Way 1

Ticket B:

Fourteen spots, grouped 3 3 3 2 1 1 1

1 Way 14 3 Way 13 4 Way 12 7 Way 11

12 Way 10 13 Way 9 15 Way 8 18 Way 7

15 Way 6 13 Way 5 12 Way 4 7 Way 3

4 Way 2 3 Way 1

Ticket C:

Fourteen spots, grouped 4 3 3 1 1 1 1

1 Way 14 4 Way 13 6 Way 12 6 Way 11

10 Way 10 16 Way 9 15 Way 8 12 Way 7

15 Way 6 16 Way 5 10 Way 4 6 Way 3

6 Way 2 4 Way 1

 

I call these tickets "sisters" because they all have a 15 way 6 on them, and the second ticket is identical to the first except that there is a group of two replacing one of the kings. Similarly, ticket C is identical to ticket A except that a group of four replaces a group of 3.

There are two ways to hit a solid six on ticket A: 3-3 and 3-1-1-1. There are three ways to hit a solid six on ticket B: 3-3, 3-2-1, and 3-1-1-1. There are three ways to hit a solid six on ticket C: 4-1-1, 3-3, and 3-1-1-1. Which ticket is the best to play? Here are the odds for one against all paying catches on these tickets:

 

Catch Ticket A: Ticket B: Ticket C:

6 / 6 588.80 588.80 624.90

5 / 6 33.49 30.45 34.50

4 / 6 5.40 4.59 5.47

3 / 6 1.93 1.72 1.93

 

It is interesting that the odds against a solid six are identical on tickets A and B, even though the sixes are hit differently on each ticket. On catches of 5 or less, though, ticket B is clearly superior. You will hit a 5/6 on the average about 3 games sooner on ticket B than on ticket A. If you are playing a buck a way for a $15.00 ticket, that means you will hit a 5/6 about $45.00 sooner! Something to think about.

The relationship between tickets A and B illustrate one of my Rules of Thumb for way tickets. If you have two way tickets with the same number of ways (in this case both have a 15 way 6) the ticket with more numbers is GENERALLY the better play. Ticket C, however, is an exception to the rule. Though it has one more spot than ticket A, it is clearly not as good a play.

In this case the ticket B is clearly the best ticket to play. It has the better odds on every catch. It would be a great ticket to play any where you might want to play a 15 way six.

Well, that’s it for now, good luck, I’ll see you in line!