Happy Leap Day!
- Thread starter blitzed
- Start date
DAY!MR blitzed.
I know it is a far fethed idea but I'd like your input on it if you do not mind.
we all know the smallest combo in the 6/49 is 1 2 3 4 5 6 and the largest is 44 45 46 47 48 49.
we all also know all other combos are in between.
now, if we had the number plain and plotted all combos on it and marked the already drawn combos on it,we then can visualy see where on the number plain those combos are falling.
furthermore subtract all combos that consist of consecative numbers ie 1 2 3 4 5 6 ...2 3 4 5 6 7 and so on we would be left with all other combos.
in my view all combos will eventualy be drawn.
so in shrinking the combos to a feasable ammount,QU,how many combos will we end up with?
call it ellimination call it eventuality or what ever name you want.
this idea has been haunting me for the past 20 years.
I know it is a far fethed idea but I'd like your input on it if you do not mind.
we all know the smallest combo in the 6/49 is 1 2 3 4 5 6 and the largest is 44 45 46 47 48 49.
we all also know all other combos are in between.
now, if we had the number plain and plotted all combos on it and marked the already drawn combos on it,we then can visualy see where on the number plain those combos are falling.
furthermore subtract all combos that consist of consecative numbers ie 1 2 3 4 5 6 ...2 3 4 5 6 7 and so on we would be left with all other combos.
in my view all combos will eventualy be drawn.
so in shrinking the combos to a feasable ammount,QU,how many combos will we end up with?
call it ellimination call it eventuality or what ever name you want.
this idea has been haunting me for the past 20 years.
blitzed
Member
hello hopefull,
perhaps Nick Koutras or GillesD could help you with that...they are masters of lottery combination spreadsheets. I seem to recall someone asking them how to generate a list of ALL the possible combinations, as well as boiling it down with certain filter criteria.
anyway, I guess ball values in each draw could be concatenated into whole numbers, statistics could then be applied, filters, and 123,456 to 444,546,474,849 could be plotted into a chart somehow. easier said than done.
later,
blitzed
perhaps Nick Koutras or GillesD could help you with that...they are masters of lottery combination spreadsheets. I seem to recall someone asking them how to generate a list of ALL the possible combinations, as well as boiling it down with certain filter criteria.
anyway, I guess ball values in each draw could be concatenated into whole numbers, statistics could then be applied, filters, and 123,456 to 444,546,474,849 could be plotted into a chart somehow. easier said than done.
later,
blitzed
Use of lexographical value
I am not too sure about what you really need but the lexographical value of a draw may fit your needs.
The lexographical value is a sequential number for each combination. For a 6/49 lottery, the combination 1-2-3-4-5-6 has a value of 1, the combination 1-2-3-4-5-7 has a value of 2 and so on until the combination 44-45-46-47-48-49 gets a value of 13,983,816.
If you search for "lexographical" here, you will find an Excel formula to calculate the lexographical value for a given combination (if not found, I can always post it here). You can also generate all those values in a simple macro in Excel.
As far as actual data on Canadian Lotto 6/49, after 2517 draws, here is the distribution through brackets of 500,000:
0 to 500,000 - - 92 times
500,001 to 1,000,000 - - 79 times
1,000,001 to 1,500,000 - - 91 times
1,500,001 to 2,000,000 - - 95 times
2,000,001 to 2,500,000 - - 89 times
2,500,001 to 3,000,000 - - 83 times
3,000,001 to 3,500,000 - - 93 times
3,500,001 to 4,000,000 - - 81 times
4,000,001 to 4,500,000 - - 87 times
4,500,001 to 5,000,000 - - 95 times
5,000,001 to 5,500,000 - - 97 times
5,500,001 to 6,000,000 - - 99 times
6,000,001 to 6,500,000 - - 77 times
6,500,001 to 7,000,000 - - 85 times
7,000,001 to 7,500,000 - - 74 times
7,500,001 to 8,000,000 - - 91 times
8,000,001 to 8,500,000 - - 93 times
8,500,001 to 9,000,000 - - 88 times
9,000,001 to 9,500,000 - - 93 times
9,500,001 to 10,000,000 - - 100 times
10,000,001 to 10,500,000 - - 87 times
10,500,001 to 11,000,000 - - 101 times
11,000,001 to 11,500,000 - - 102 times
11,500,001 to 12,000,000 - - 89 times
12,000,001 to 12,500,000 - - 69 times
12,500,001 to 13,000,000 - - 99 times
13,000,001 to 13,500,000 - - 104 times
13,500,001 to 13,983,816 - - 84 times
There is no unique bracket significantly higher than others but combinations in the bracket 12,000,001 to 12,500,000 have not come out too often (as well as a few others). If you need more information, let me know.
And back to shoveling ...
I am not too sure about what you really need but the lexographical value of a draw may fit your needs.
The lexographical value is a sequential number for each combination. For a 6/49 lottery, the combination 1-2-3-4-5-6 has a value of 1, the combination 1-2-3-4-5-7 has a value of 2 and so on until the combination 44-45-46-47-48-49 gets a value of 13,983,816.
If you search for "lexographical" here, you will find an Excel formula to calculate the lexographical value for a given combination (if not found, I can always post it here). You can also generate all those values in a simple macro in Excel.
As far as actual data on Canadian Lotto 6/49, after 2517 draws, here is the distribution through brackets of 500,000:
0 to 500,000 - - 92 times
500,001 to 1,000,000 - - 79 times
1,000,001 to 1,500,000 - - 91 times
1,500,001 to 2,000,000 - - 95 times
2,000,001 to 2,500,000 - - 89 times
2,500,001 to 3,000,000 - - 83 times
3,000,001 to 3,500,000 - - 93 times
3,500,001 to 4,000,000 - - 81 times
4,000,001 to 4,500,000 - - 87 times
4,500,001 to 5,000,000 - - 95 times
5,000,001 to 5,500,000 - - 97 times
5,500,001 to 6,000,000 - - 99 times
6,000,001 to 6,500,000 - - 77 times
6,500,001 to 7,000,000 - - 85 times
7,000,001 to 7,500,000 - - 74 times
7,500,001 to 8,000,000 - - 91 times
8,000,001 to 8,500,000 - - 93 times
8,500,001 to 9,000,000 - - 88 times
9,000,001 to 9,500,000 - - 93 times
9,500,001 to 10,000,000 - - 100 times
10,000,001 to 10,500,000 - - 87 times
10,500,001 to 11,000,000 - - 101 times
11,000,001 to 11,500,000 - - 102 times
11,500,001 to 12,000,000 - - 89 times
12,000,001 to 12,500,000 - - 69 times
12,500,001 to 13,000,000 - - 99 times
13,000,001 to 13,500,000 - - 104 times
13,500,001 to 13,983,816 - - 84 times
There is no unique bracket significantly higher than others but combinations in the bracket 12,000,001 to 12,500,000 have not come out too often (as well as a few others). If you need more information, let me know.
And back to shoveling ...
Lexographical distribution
Based on the lexographical values and brackets of 500,000, the distribution looks fairly uniform with frequencies ranging from 69 times to 104 times.
But when using smaller brackets of 125,000, the distribution are much less uniform. Combinations from 03-09-10-27-29-41 (3,875,001) to 03-10-16-36-41-43 (4,000,000) occured only 12 times while combinations from 04-12-19-35-36-38 (5,375,001) to 04-14-24-28-32-41 (5,500,000) occured 35 times, or nearly 3 times as often.
Based on the lexographical values and brackets of 500,000, the distribution looks fairly uniform with frequencies ranging from 69 times to 104 times.
But when using smaller brackets of 125,000, the distribution are much less uniform. Combinations from 03-09-10-27-29-41 (3,875,001) to 03-10-16-36-41-43 (4,000,000) occured only 12 times while combinations from 04-12-19-35-36-38 (5,375,001) to 04-14-24-28-32-41 (5,500,000) occured 35 times, or nearly 3 times as often.