GUARANTEES
All of the lottery systems presented in this
book have certain guarantees. Let
us talk about what the advantages of
using a lottery system are and what exactly a guarantee
means in terms of a lottery system.
Using a lottery
system assumes that you are playing with more than six numbers, and you
want to organize your numbers in such a way that a certain minimum win
is guaranteed. If you play with just one ticket
and you correctly guess 4 numbers, then you are guaranteed exactly one
4-win. A possible question is how to
build a system that guarantees you a 4-win on 4 guessed numbers, provided
you play with not 6, but say, 10 numbers. Let us look at our previous
example from the book,
System
# 20. Using System # 20 you get a 4-win
whenever 4 of your 10 numbers are among the 6 numbers drawn. The system
shows that you only need 20 combinations (or 20
tickets) to do so. Out of 10 numbers, one can form 210 distinct sextuples
(the
non-mathematicians can choose to believe us; those with some math preparation
could check the formula C(10,6)=210), so you only need to
play 20 of these 210 combinations to achieve the 4 if 4 guarantee.
What are the advantages of playing for such a guaranteed win? Let us compare
playing
with 20 random tickets against 20 tickets
chosen according to our lottery system. We should mention that the
probability of a 6-win ("hitting the jackpot") is the same for each ticket.
However,
if any 4 of the numbers drawn are among
the 10 numbers chosen by you, then the 20 tickets of the lottery system
guarantee at least one 4-win, while 20 random
tickets (on the same 10 numbers) guarantee nothing!
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