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Do they Work? Systems, Covers, Designs and Wheels tested.  
LottoPoster Forums : LOTTO PLAYING SYSTEMS TEST RUN RESULTS : Do they Work? Systems, Covers, Designs and Wheels tested. 
Topic: 3 if 6 in 49 Abrev Wheel 51% Cover 32 L  
Author  Message 
Colin F
Lotto Systems Tester Creator & Analyst To dream the impossible dream ... Joined: September 30 2004 Location: Australia Online Status: Offline Posts: 678 
Topic: 3 if 6 in 49 Abrev Wheel 51% Cover 32 L Posted: December 17 2004 at 7:39am 
I have to admit that even in the middle of doing something more complicated I have always been attracted to the idea of using all the integers in a particular Lotto just once or twice in a random way. In a Pick 6 from 45 as played mainly in Australia you can do this in 15 Combs each integer appearing twice only. This test is on the 6/49 Lotto Game using a partial Cover where each integer appears pretty well 4 times. There are 13,983,816 Combinations of 6 that can be obtained from the 49 integers. The full Cover of 163 Combs optimized or 322 Combs unoptimized have already been done; this is only a 51% cover. Elaborating a little on that if we take as our first Comb 1 2 3 4 5 6 (it doesn't have to be this) then because from each 6 we can obtain 20 combinations of 3 we find when we test each 3 combination that we can cover 260,624 combinations of 6 from the 13,983,816 combinations of 6. A breakdown on each would be starting with 123 (you don't have to  you could start with 456 and get the same figure): 123 15,180 x 1 = 15,180
124, 134, 234 14,190 x 3 = 42,570 125, 135, 145, 235, 245, 345 13,244 x 6 = 79,464 126, 136, 146, 156, 236, 246, 256, 346, 356, 456 12,341 x 10 = 123,410 So tagging our 260,624 Combinations of 6 that are now covered and subtracting from 13,983,816 we are left with 13,723,192 to still cover. If we pick 7 8 9 10 11 12 as our next Comb we find this can cover 260,224 Combs and so on until we have 51% coverage. Regards
Colin


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