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# Relative Combinatorial Distribution

Topic closed. 3 replies. Last post 10 years ago by JADELottery.

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The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3685 Posts
Online
 Posted: November 8, 2006, 3:35 am - IP Logged

Relative Combinatorial Distribution

Relative Combinatorial Distribution - Dr(n,r,c,z,d) = d * (D(n,r,c,z) / C(n,r)) = d / Ar(n,r,c,z)

n - number of items (number of balls)
r - number of items in a combinatorial set (number of picks)
c - column number of the item (position in the pick set; when items in the set are in ascending order)
z - item number (ball number)
d - number of random combinatorial set selections (number of draws)

The relative combinatorial distribution is the approximate frequency distribution by column for a randomly selected combinatorial set of items at a given index or draw number. As an example, the first 1,500 draws for Wisconsin Megabucks will be used as a reference; a 6/49 lottery. The relative combinatorial distribution can be calculated to show approximately what the frequency distribution will be like at 1,500 draws. Using the function, the distribution for 1,500 draw is as follows (values rounded to ones):

 C Z 1 2 3 4 5 6 1 184 2 165 19 3 147 35 2 4 131 48 5 0 5 116 58 9 0 0 6 103 66 13 1 0 0 7 91 72 18 2 0 0 8 80 76 24 3 0 0 9 71 78 30 5 0 0 10 62 79 35 7 1 0 11 54 79 41 9 1 0 12 47 78 46 12 1 0 13 40 76 51 15 2 0 14 35 73 55 18 3 0 15 30 70 58 22 4 0 16 25 66 61 26 5 0 17 22 62 64 30 6 0 18 18 57 66 34 8 1 19 15 53 67 38 10 1 20 13 48 67 42 12 1 21 11 44 67 46 15 2 22 9 40 66 50 17 2 23 7 35 64 54 20 3 24 6 31 62 57 24 4 25 5 27 60 60 27 5 26 4 24 57 62 31 6 27 3 20 54 64 35 7 28 2 17 50 66 40 9 29 2 15 46 67 44 11 30 1 12 42 67 48 13 31 1 10 38 67 53 15 32 1 8 34 66 57 18 33 0 6 30 64 62 22 34 0 5 26 61 66 25 35 0 4 22 58 70 30 36 0 3 18 55 73 35 37 0 2 15 51 76 40 38 0 1 12 46 78 47 39 0 1 9 41 79 54 40 0 1 7 35 79 62 41 0 0 5 30 78 71 42 0 0 3 24 76 80 43 0 0 2 18 72 91 44 0 0 1 13 66 103 45 0 0 9 58 116 46 0 5 48 131 47 2 35 147 48 19 165 49 184

Here's the actual distribution for the 1,500 draws:

 C Z 1 2 3 4 5 6 1 178 2 177 15 3 147 36 5 4 113 54 9 0 5 124 59 4 0 0 6 115 61 10 1 0 0 7 93 81 16 2 0 0 8 80 81 29 4 0 0 9 74 95 39 3 1 0 10 57 79 40 6 1 0 11 54 90 45 10 0 0 12 49 64 50 11 1 0 13 34 88 51 17 4 0 14 36 66 51 20 2 0 15 35 68 62 19 2 1 16 25 60 65 27 4 0 17 14 50 64 26 4 1 18 21 52 62 25 6 2 19 20 55 54 44 7 0 20 8 45 68 35 12 2 21 7 47 53 45 15 0 22 4 41 60 46 15 0 23 7 20 64 45 21 0 24 4 36 72 63 25 4 25 4 32 59 80 23 3 26 7 21 55 66 30 4 27 2 22 56 67 39 6 28 1 18 54 65 47 5 29 1 13 37 69 36 11 30 4 11 49 52 48 11 31 1 14 42 77 50 15 32 1 5 26 73 56 19 33 0 7 34 68 60 23 34 3 2 26 58 76 25 35 0 5 19 60 68 24 36 0 3 12 53 76 42 37 0 2 15 45 67 39 38 0 0 15 45 79 47 39 0 1 11 42 74 47 40 0 1 4 32 86 58 41 0 0 7 20 91 60 42 0 0 6 35 63 83 43 0 0 0 20 73 96 44 0 0 0 12 84 100 45 0 0 9 51 120 46 0 1 45 139 47 2 38 147 48 20 173 49 193

Side by Side:

 C Calculated Actual Calculated Actual Calculated Actual Calculated Actual Calculated Actual Calculated Actual Z 1 1 2 2 3 3 4 4 5 5 6 6 1 184 178 2 165 177 19 15 3 147 147 35 36 2 5 4 131 113 48 54 5 9 0 0 5 116 124 58 59 9 4 0 0 0 0 6 103 115 66 61 13 10 1 1 0 0 0 0 7 91 93 72 81 18 16 2 2 0 0 0 0 8 80 80 76 81 24 29 3 4 0 0 0 0 9 71 74 78 95 30 39 5 3 0 1 0 0 10 62 57 79 79 35 40 7 6 1 1 0 0 11 54 54 79 90 41 45 9 10 1 0 0 0 12 47 49 78 64 46 50 12 11 1 1 0 0 13 40 34 76 88 51 51 15 17 2 4 0 0 14 35 36 73 66 55 51 18 20 3 2 0 0 15 30 35 70 68 58 62 22 19 4 2 0 1 16 25 25 66 60 61 65 26 27 5 4 0 0 17 22 14 62 50 64 64 30 26 6 4 0 1 18 18 21 57 52 66 62 34 25 8 6 1 2 19 15 20 53 55 67 54 38 44 10 7 1 0 20 13 8 48 45 67 68 42 35 12 12 1 2 21 11 7 44 47 67 53 46 45 15 15 2 0 22 9 4 40 41 66 60 50 46 17 15 2 0 23 7 7 35 20 64 64 54 45 20 21 3 0 24 6 4 31 36 62 72 57 63 24 25 4 4 25 5 4 27 32 60 59 60 80 27 23 5 3 26 4 7 24 21 57 55 62 66 31 30 6 4 27 3 2 20 22 54 56 64 67 35 39 7 6 28 2 1 17 18 50 54 66 65 40 47 9 5 29 2 1 15 13 46 37 67 69 44 36 11 11 30 1 4 12 11 42 49 67 52 48 48 13 11 31 1 1 10 14 38 42 67 77 53 50 15 15 32 1 1 8 5 34 26 66 73 57 56 18 19 33 0 0 6 7 30 34 64 68 62 60 22 23 34 0 3 5 2 26 26 61 58 66 76 25 25 35 0 0 4 5 22 19 58 60 70 68 30 24 36 0 0 3 3 18 12 55 53 73 76 35 42 37 0 0 2 2 15 15 51 45 76 67 40 39 38 0 0 1 0 12 15 46 45 78 79 47 47 39 0 0 1 1 9 11 41 42 79 74 54 47 40 0 0 1 1 7 4 35 32 79 86 62 58 41 0 0 0 0 5 7 30 20 78 91 71 60 42 0 0 0 0 3 6 24 35 76 63 80 83 43 0 0 0 0 2 0 18 20 72 73 91 96 44 0 0 0 0 1 0 13 12 66 84 103 100 45 0 0 0 0 9 9 58 51 116 120 46 0 0 5 1 48 45 131 139 47 2 2 35 38 147 147 48 19 20 165 173 49 184 193

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

United States
Member #986
January 5, 2003
280 Posts
Offline
 Posted: November 8, 2006, 4:15 am - IP Logged

Thanks Doug,  you got the wheels turning in this head of mine.  Seems as though if you calculated to 1501 draws that you could use those calculations as a prediction for the next numbers in that row which is in a median of the calculation.  Yes or No?

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3685 Posts
Online
 Posted: November 8, 2006, 4:23 am - IP Logged

Yes, you are on the right track. There will be more to follow. I'm trying to disburse as much of the information in chunks to the populous so those who know what to do with the information can take their time.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3685 Posts
Online
 Posted: December 2, 2006, 6:27 am - IP Logged

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.