Lottery system

In the lottery there are lottery systems specified by the German lottery companies , which can be played in abbreviated form on corresponding tickets. These systems consist of a collection of individual rows of tips that look like the following.

Systems

Full system

With the full systems 007 to 016, 7 to 16 numbers are ticked off and all combinations are typed that can be formed from these numbers.
In system n , these are games and you pay the corresponding bets. Here is the number of possible combinations: ${\displaystyle {n \choose 6}={\frac {n!}{720\cdot (n-6)!}}}$

The following full systems are available:

system	Surname	Games
007	System 6 of 7	7th
008	System 6 of 8	28
009	System 6 of 9	84
010	System 6 of 10	210
011	System 6 of 11	462
012	System 6 of 12	924
013	System 6 of 13	1716
014	System 6 of 14	3003
015	System 6 of 15	5005
016	System 6 of 16	8008

The current term "System 6 from X" is based on the selected full system.

subsystem

In the sub-systems , not all possible combinations are typed, but only a part of them. Information on this is available from the lottery acceptance points or via the web link below. The game systems are closely related to the methods from the statistical design of experiments .

Lotto system games save processing fees and the work of filling in many tickets. The chances of winning are just as high as if you entered all of these tips individually on the slips of paper.

However, the maximum possible win does not increase, so that you reduce your chances of multiplying the stake: If you only play a row for € 1.00 and win, for example, € 1,575,000, you have your stake on the 1,575,000- times enlarged. If the same succeeds with a 10-system ticket with 210 games (or 210 individual tips), then the stake is € 210.00 and the profit is only 7,500 times the stake. The chance of getting 6 correct numbers with a super number has only improved from 1 in about 140 million to 1 in 670,000.

Individual evidence

1. ^ Lotto Rhineland-Palatinate: Lotto full and VEW systems