Spice up play with sister tickets

December 24, 2007 3:04 AM
by

share

Anyone who has played keno for a while is familiar with the way six, with a three way six comprised of three groups of 3, and a six way six comprised of four groups of 3, and a ten way six comprised of five groups of 3 and finally a 15 way six comprised of 18 numbers grouped in six groups of 3.

But these way ticketss, though no doubt good ways to play sixes, are kinda "plain vanilla" don’t ya think?

Here are three more 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.

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@gmail.com.