The ‘twin twenty-two’ ticket targets solid 6’s

July 17, 2001 12:22 AM
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I have run across an interesting set of “twin” keno tickets, both of which consist of 22 way sixes. The first ticket has ten numbers on it, while the second has eleven numbers. The first ticket has three deuces and four kings (2-2-2-1-1-1-1), while the second has four deuces and three kings (2-2-2-2-1-1-1). As you can see, if you take both tickets together, there is a nice symmetry there.

Let’s look at the ten spot first. With a grouping of 2-2-2-1-1-1-1 we have a one way 10, four way nine, nine way eight, 16 way seven, 22 way six, 24 way five, 22 way four, 16 way three, nine way two, and a four way one, and has a total of 127 ways. I think an interesting way to play this ticket would be to play a dollar on the ten, and fifty cent ways on the sixes and threes, for a $20.00 ticket. If I hit one of the 16 threes, then I will win twenty dollars and change at most keno games, thus covering my wager. There are three different varieties of sixes on this ticket. The 2-2-2 is one six, the 2-2-1-1 ways account for 18 ways, and the 2-1-1-1-1 ways account for the remaining three ways.

The eleven spot, grouped 2-2-2-2-1-1-1, has a one way 11, three way 10, seven way nine, 13 way eight, 18 way seven, 22 way six, 22 way five, 18 way four, 13 way three, seven way two, and a three way one, and also has a total of 127 ways, just as the ten spot does. On this ticket I would either play the eleven for a dollar, with fifty cent sixes and threes for an $18.50 ticket, or I might play fifty cent sixes and fours with the dollar eleven for a nice $21.00 ticket. There are only two varieties of sixes on this ticket, namely the 2-2-2 for a four way six, and 2-2-1-1 for an 18 way six.

Traditional keno wisdom will tell you that you have a better chance of hitting a solid six on the ten spot than on the eleven spot, because “fewer numbers are better.” Here are the odds for one of hitting on each ticket for a six spot:

Ten Spot Eleven Spot,

  

Grouped  

Grouped

  

2-2-2-1-1-1-1  

  2-2-2-2-1-1-1

6/6  

453.817  

417.612

5/6  

30.034  

29.057

4/6  

5.277  

4.895

3/6  

2.099  

1.820

 

It is quite clear from the chart that it is much easier to hit a solid six, five of six, four of six, and three of six on the eleven spot than it is on the ten. In fact, you will hit a solid six, on the average, some 36 or so games sooner playing the eleven spot. It seems that the conventional wisdom is wrong, at least on this point.