PerfectLotto™ and Covers or Guarantee Wheels by Colin Fairbrother
In a normal 6/49 Lotto game at every draw 6 of the 49 integers are randomly picked with each integer having equal opportunity. The integers that have been randomly picked on previous draws have absolutely no influence on this process and this can be seen in the case of televised tumbling of real balls. Despite this Covers or Wheels with Guarantees are promoted by even a Professor of Combinatorics as being of benefit in playing Lotto and as I have explained and proven there is no substance to such claims. In the case of playing a 163 line Cover for a pool of 49 the guarantee is a Three win or about $2.00 for an outlay of $81.50. If pandering to ignorance and ignoring the facts the inference is made that by eliminating 34 integers and playing a 4 line Cover for a pool of 15 a Three win can be obtained to break even then this is nothing less than abject nonsense and a sad reflection on a University that employed a Professor who promoted such a claim.
In PerfectLotto™ a model is employed where the pool of integers is reduced each draw depending on how many times it has occurred  say, 6 occurrences over 49 draws. By using this model the differences between a normal Lotto game and PerfectLotto™ are magnified to the point where even the most dim witted can see the light.
In a normal 6/49 Lotto game the payouts for a Three win are about 4 to 1 for odds of 1 in 57. In PerfectLotto™ we explore payouts of not only 4 to 1 but 10 to 1 for a Three, 32 to 1 for a Four, 128 to 1 for a Five and 900 to 1 for a Six. The objective is to find a balance between the odds and the payouts that would be attractive to a Lottery Operator. As an example in PerfectLotto™getting a Three win by playing a pool of 20 integers using a 10 line Cover with a payout of 10 to 1 would be breakeven. Obviously, the pool would have to be 19 or less to get ahead for a Three win.
The Covers that are relevant here are the following which can all be produced in CoverMaster  indeed, if you are able to do these then that is a measure of your ability in using John Rawson's program.
Pool is the number of integers you have decided are more likely to be successful  which is valid in PerfectLotto™  but only a guess in normal Lotto. The other 9 headings refer to the prize. The first figure in each column heading is the prize you get if you manage to get as many correct in your Pool as in the second figure. The table contents show the number of lines you need to play for this to happen.
Pool 
3if6 
3if5 
3if4 
3if3 
4if6 
4if5 
4if4 
5if6 
5if5 
6if6 
7 
1 
1 
1 
4 
1 
1 
5 
1 
6 
7 
8 
1 
1 
3 
4 
1 
3 
7 
4 


9 
1 
2 
3 
7 
3 
3 

7 


10 
2 
2 
4 
10 
3 
7 




11 
2 
2 
5 

5 
10 




12 
2 
2 
8 

6 





13 
2 
5 
9 

10 





14 
4 
5 








15 
4 
8 








16 
5 
10 








17 
6 









18 
7 









19 
9 









20 
10 









I believe that PerfectLotto™ will provide an interesting challenge in exploring all the possibilities when the pool is actually reduced and put the lie once again to those who think the pool of numbers can be reduced in normal Lotto.
Regards Colin Fairbrother
 Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
