An Example of a Double Guarantee System

Below is an example of a double guarantee system. It also shows how the systems are presented throughout the book. Each system is given as a separate article including
1) a table of all possible wins, 2) comments on various characteristics of the system such as minimality, balance and density, and 3) the system itself.

SYSTEM # 88: GUARANTEED TWO 4-WINS IF 4 OF THE NUMBERS DRAWN ARE IN YOUR SET OF 10 NUMBERS
© Copyright 2001

1) Table of possible wins


Guessed
1
-
18
8
14.29
 
-
4
12
12
85.71
-
1
6
16
71.43
 
-
-
10
10
28.57
-
-
3
8
14.29
 
-
-
2
12
85.71
-
-
-
5
100.00

2) Comments

The best known single guarantee system (# 20) has 20 combinations. The system presented here gives you the double guarantee in just 30 combinations. It also guarantees ten 4-wins (plus ten 3-wins) if five of your numbers are drawn, five 3-wins if three of your numbers are in the draw, and four 5-wins plus a number of other prizes if all of the numbers drawn are guessed correctly. Of course, you can also win the jackpot plus some extra cash. The system is EXCEPTIONALLY HIGHLY BALANCED: Each number is in exactly 18 combinations, each pair of numbers is in exactly 10 combinations and each triple is in exactly 5 combinations. It is also MATHEMATICALLY MINIMAL for all of the above mentioned guarantees! This system even has an additional nice property: Every two combinations differ in at least two numbers, that is, the combinations are as 'apart' as possible. The complete system would require 210 combinations.

3) System


1.   1 2 3 4 5 10           16.    1 4 5 6 8 10
2. 1 2 3 4 7 8 17. 1 4 5 7 8 9
3. 1 2 3 5 6 8 18. 1 5 6 7 9 10
4. 1 2 3 5 7 9 19. 2 3 4 5 8 9
5. 1 2 3 6 9 10 20. 2 3 4 6 7 9
6. 1 2 4 5 6 9 21. 2 3 4 6 8 10
7. 1 2 4 6 7 10 22. 2 3 5 6 7 10
8. 1 2 4 8 9 10 23. 2 3 7 8 9 10
9. 1 2 5 7 8 10 24. 2 4 5 6 7 8
10. 1 2 6 7 8 9 25. 2 4 5 7 9 10
11. 1 3 4 5 6 7 26. 2 5 6 8 9 10
12. 1 3 4 6 8 9 27. 3 4 5 6 9 10
13. 1 3 4 7 9 10 28. 3 4 5 7 8 10
14. 1 3 5 8 9 10 29. 3 5 6 7 8 9
15. 1 3 6 7 8 10 30. 4 6 7 8 9 10

 
 
 
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