12,6,5,6=38 & 12,6,5,6=132

[corneydeb]

Hi folk's I wonder if my lotto peers can help me to understand these two wheels? I have seen 12,6,5,6=38 so many times I understood that if one had all 6 numbers in your selection you would have at least a 5 number prize and if luck favoured you all 6 i.e the jackpot. I have recently bought Iliya Bluskov's book on combinatorial systems (wheels) he too concludes 12,6,5,6=38 however in his book he says the % guarntee to achieve 12,6,5,6 is 0.22%.? When one puts the parameters 12,6,5,6 in the la jolla repository it says 132 blocks are required too achieve the 5 number prize, it also says it is a Steiner system.

 

[corneydeb]

12,6,5,6=38

Oop's! sorry Iliya's book did not say 0.22% for that particular,that's what comes from sitting at the computer drinking beer!! The correct guarntee is 51.95% ,memo to oneself, when looking at %'s ,combination's etc stick to coffee.

 

[system13]

Hey corneydeb, I have that book but you're not reading the table of wins correctly. It's a 100% 5 if 6 with 7 possible probabilities, as Bluskov says it's a minimal guarantee, but you can end winning more. Add the percentages within one group and it's 100% breaked down. A 51.95% is a probability for this case to happen:1x5, 8-13 x4 and 10-20 x3, while 0.22% is the probability for 1x6, 2x5 and 32x3, etc.

This wheel is different from the wheel on La Jolla. La Jolla isn't a 5 if 6 of 12, but 5 if 5 of 12 with 132 blocks which represents mathematically minimal number of blocks, highly balanced on each number, pairs, triples, etc - in one word, a perfect construction.

Cheers

s13

 

[corneydeb]

Thanks for your reply System 13 ,I wasn't reading the guarntee's correctly plus as I have said drinking too much beer ,whilst at the computer didn't help.