Suppose that we are tired of the same old same old, and wish to strike out in new directions for playing keno. We like to play 13 numbers, one of our old favorite tickets, but we wish to play them in a new way. And we also wish to play way nines ”” merely a personal preference.
Since we are playing 13 spots total, we know that there must be the same number of four spot ways as nine spot ways on the ticket, because 13 minus four is nine.
This principle we have called the "Rule of the Twins." When we start construction of our new ticket, we will utilize this principle because it is much easier to compute ways of four than ways of nine.
Another principle for a good way nine is that it should be made up, if possible, by groups of five and four, a fact that we have discussed over the last few weeks. Our first few attempts at construction then will be a grouping of 5-4-4, and 4-4-4-1. It is clear that both of these groupings are field tickets; both have a unique group that contributes toward all nine spot ways on the ticket.
Of these two, I much prefer the 4-4-4-1. It is a three-way nine, and I like it better because each group combines with two of the others in making a way nine, while on the first ticket, the field of five is critical to success.
We can use each of these tickets as a base for further iterations. If we take the first ticket, splitting each group of four into 3-1, we end up with 13 spots grouped 5-3-3-1-1. We can see by inspection that there is a four-way four on the ticket, thus there is also a four way nine. I like this version better; though the five spot field is still critical, at least the fours now work together somewhat in a "criss-cross" manner.
Likewise, if we split one of the fours on the second ticket, we get 4-4-3-1-1. This ticket is also a four way nine (there are four fours!), and is in my opinion superior to the original ticket ”” you are no longer dependent upon a single number for success. This ticket has some of the characteristics of a field ticket, though the field of three figures into only two of the four ways.
Another iteration: We take
the 5-3-3-1-1 ticket and split the field of five into 4-1, getting 4-3-3-1-1-1. Since there are seven fours on this ticket, there are also seven nines. I like this ticket less, because it is starting to have the characteristics of a king ticket.
There is nothing wrong with king tickets. They tend to pay off more when they are hit, though you will hit them less often. It’s a tradeoff, and I prefer to win more often, since my bankroll is not infinite! We may also take our second ticket, 4-4-3-1-1 and split one of the fours into two deuces ”” 4-3-2-2-1-1. This will produce a six-way four, and thus a six-way nine.
These are the ways:
4-3-2, a two-way nine,
4-3-1-1, a one-way nine,
4-2-2-1, a two-way nine, and
3-2-2-1-1, a one-way nine.
In essence, we have produced another field ticket, this time with a field of four. This group of four figures into 5 of the 6 way nines, and thus is very important.
Of these tickets, my preference is the 4-4-3-1-1 because of the principles enumerated in the last few weeks.