Breaking down standard 10-king ticket

October 16, 2007 1:32 AM
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Last week we looked at a technique for reducing the amount of ways on a king ticket, thus reducing the price of the ticket. Our goal was to keep as much of the nature of the king ticket as possible while at the same time reducing the expense of playing it.

This week we’ll look at the ten king ticket, which breaks down as follows:

1 1 1 1 1 1 1 1 1 1

1-way-10  10-way-9
45-way-8 120-way-7
210-way-6  252-way-5
210-way-4  120-way-3
45-way-2  10-way-1

The odds against any particular 8 spot catch on this ticket are as follows:

8/8 7059.54
7/8 570.55
6/8 75.60
5/8 15.50

If we want to play way eights, this ticket will cost us $22.50 to play at 50 cents per way, a 45 way eight. Since we are playing a king ticket, every possible combination of 10 numbers is used to make our eights. Let’s just assume, though, that $22.50 is just too steep a price for us to play each game, though we do like the king ticket approach. Using the "Poor Man’s King Ticket" technique, we combine two of the kings into one group of

two. (We’ll try to combine two numbers that we feel will come up together, but this is just a guessing game.) The ticket that results looks like this:

2 1 1 1 1 1 1 1 1

1-way-10 8-way-9
29-way-8 64-way-7
98-way-6 112-way-5
98-way-4 64-way-3
29-way-2 8-way-1

The odds against any particular 8 spot catch on this ticket are as follows:

8/8 10694.83
7/8 571.53
6/8 75.60
5/8 15.50

We can now play a 29 way 8 for $14.50 at 50 cents per way, using the same 10 spots as above. Thus we are spending $8 less per game, (36 percent less) and our ticket still has the feel of a king ticket. It is true, though, that it is now 51.49 percent harder to hit a solid eight. Interestingly, the odds against a 7/8, 6/8, and 5/8 are virtually the same, even though there are less ways on the ticket!

It is easy to see why the odds against a solid eight have increased; 96.55 percent of the possible solid eights (28 out of 29 ways) require that the two spot be hit solid. It is less easy to understand why the odds on the lesser catches did not decline along with the number of ways being played. If your main goal is to hit a seven out of eight, it makes perfect sense to reduce the number of ways played using this technique!

If we want to reduce the price of the ticket even further, we can combine three of the original kings into a group of three. This results in the ticket below:

3 1 1 1 1 1 1 1

1-way-10 7-way-9
21-way-8 36-way-7
42-way-6 42-way-5
42-way-4 36-way-3
21-way-2 7-way-1

The odds against any particular catch become these:

8/8 14794.57
7/8 690.47
6/8 77.94
5/8 15.49

Once again we can see that although we are spending 53.33 percent less per game, the odds on the lesser catches have not changed that much! The only big change are the odds on the solid eight, which is now roughly twice as hard to hit as on

the original ticket.

If we take the original 10 king ticket, and combine four of the original kings into two groups of two, the following ticket will result:

2 2 1 1 1 1 1 1

1-way-10 6-way-9
17-way-8 32-way-7
46-way-6 52-way-5
46-way-4 32-way-3
17-way-2 6-way-1

 

We now have these 8-spot odds:

8/8 17424.24
7/8 702.03
6/8 75.60
5/8 15.51

Now we are spending 62.22 percent less per game, but the odds on every catch but the solid eight have hardly budged. Look at it this way: If you have a bankroll of $1,000, you could play your original king ticket 44.44 times, and you would therefore have one chance in 12.82 of hitting a seven out of eight. Playing this ticket you could play 117.64 times and have about one chance in 6 of hitting a 7 out of 8! It makes sense to me!

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 at kenolil@gmail.com. Well, that’s it for now. Good luck! I’ll see you in line!