Probability & Statistics/lottery follow up
Nathalie wrote at 2016-02-12 23:38:01
I do not want to offend anybody, but I have another analysis. My answer is both "yes" and "No". Why? Because combination 1,2,3,4,5,and 6 could occur and happen in two ways. CASE 1: When the ping pong balls comes out from the Jar, of say, in the order of 3,5,1,6,2,4; the result will simply be written as 1,2,3,4,5,6. This is because their presentation is from the smallest to the highest digit. In such a case, the answer is "yes", the odds are the same as in any other combination. CASE 2: However, if the question is about "Sequential Order", which means that the ping pong balls has to come out starting exactly from 1, followed by 2, then 3,4,5 and 6, then the answer is "no". The odds are different from the other combination because the permutation formula does not cover this case.
This term "sequential order" could be illustrated clearly if we cite a real example, say Illinois Lotto 6X52. The odds as computed by permutation formula, is/are 1 in 20,358,520. This increases tremendously once the "sequential order" is demanded. Let's tabulate these 52 numbered pin pong balls into one line, starting from 1,2,3,4,5,6,7,8,9,10 and so on up to the end like 45,46,47,48,49,50,51,52 and you will note that you could make out 47 sequential combinations of 6 numbers starting from 1,2,3,4,5,6 then 2,3,4,5,6,7 then 3,4,5,6,7,8 until we reach the last sequence of 47,48,49,50,51,52. Because the demand is very specific, then we will multiply the present odds of 1 in 20,358,520 by 47 giving us a new value of 1 in 956,850,440. This big number is the reason why it is extremely difficult to be any real and actual sequential number like 1,2,3,4,5,6.
Do not be alarmed by this huge number (w/c is almost 1 billion) because there is even one bigger number, in quadrillion, and this is in Bingo. In Bingo games, there are 75 numbers to play with. They are grouped into 5s of 15 per group. And the chances of having a Bingo card duplicated is 1 in 22 quadrillion. (Other people compute it at 5.52 septillion, which I disagree).
There is a book coming out soon, titled: Win Lottery Games thru Science written by O.S.Abejo. The author believes the is no code, no secrete formula, no secrete analysis , no secrete combination to hit the jackpot, but only thru science. I suggest you buy a copy of this book in order another perspective about the lottery. Thanks.